Chapter Review


 Liliana Waters
 2 years ago
 Views:
Transcription
1 Chapter Review Name 1. In formulating hypotheses for a statistical test of significance, the null hypothesis is often a statement of no effect or no difference. the probability of observing the data you actually obtained. a statement that the data are all the probability that the parameter value is actually. 2. In their advertisements, a new diet program would like to claim that their methods result in a mean weight loss of more than ten pounds in two weeks. In order to determine if this is a valid claim, they hire an independent testing agency that then selects twentyfive people to be placed on this diet. The agency should be testing the null hypothesis H0: = 10 and the alternative hypothesis 3. The Pvalue of a test of a null hypothesis is the probability that assuming the null hypothesis is true, the test statistic will take a value at least as extreme as that actually observed. assuming the null hypothesis is false, the test statistic will take a value at least as extreme as that actually observed. the null hypothesis is true. the null hypothesis is false. the alternative hypothesis is true. 4. To determine if having children within the first two years of marriage increases the divorce rate, where p = proportion of marriages that end in divorce, we should test the hypotheses 5. One effect of the pesticide DDT upon birds is to inhibit the production of the enzyme carbonic anhydrase, which controls calcium metabolism. It is believed that this causes eggshells to be thinner and weaker than normal and makes the eggs more prone to breakage. An experiment was conducted where 16 sparrow hawks were fed a mixture of 3 ppm dieldrin and 15 ppm DDT (a combination often found in contaminated prey). The first egg laid by each bird was measured, and the mean shell thickness was found to be 0.19 mm. A normal eggshell has a mean thickness of 0.2 mm. The null and alternative hypotheses are 6. In testing hypotheses, which of the following would be strong evidence against the null hypothesis? Using a small level of significance Using a large level of significance Obtaining data with a small Pvalue Obtaining data with a large Pvalue Obtaining data with a low test statistic 7. In tests of significance about an unknown parameter of some population, which of the following is considered strong evidence against the null hypothesis? The value of an estimate of the unknown parameter based on a simple random sample from the population is not equal to zero. The value of an estimate of the unknown parameter lies within 2 units of the sample value. We observe a value of an estimate of the unknown parameter based on a simple random sample from the population that is very consistent with the null hypothesis. We observe a value of an estimate of the unknown parameter based on a simple random sample from the population that is very unlikely to occur if the null hypothesis is true. The value of an estimate of the unknown parameter based on a simple random sample from the population is equal to zero. Chapter Review
2 8. In a test of statistical hypotheses, the Pvalue tells us if the null hypothesis is true. if the alternative hypothesis is true. the largest level of significance at which the null hypothesis can be rejected. the smallest level of significance at which the null hypothesis can be rejected. the probability of obtaining a sample with a test statistic that is farther from 0 than the one we obtained. 9. A test of significance produces a Pvalue of Which of the following conclusions is appropriate? Accept H a at the = 0.05 level Reject H a at the = 0.01 level Fail to reject H 0 at the =.05 level Reject H 0 at the = 0.05 level Accept H 0 at the = 0.01 level 10. A university administrator obtains a sample of the academic records of past and present scholarship athletes at the university. The administrator reports that no significant difference was found in the mean GPA (grade point average) for male and female scholarship athletes (P = 0.287). This means that the GPAs for male and female scholarship athletes are identical, except for 28.7% of the athletes. the maximum difference in GPAs between male and female scholarship athletes is the chance of obtaining a difference in GPAs between male and female scholarship athletes as large as that observed in the sample, if there is no difference in mean GPAs, is the chance that a pair of randomly chosen male and female scholarship athletes would have a significant difference in GPAs is the probability that female athletes have higher GPAs than males do is I conduct a statistical test of hypotheses and find that the null hypothesis is statistically significant at level = I may conclude that the test would also be significant at level = the test would also be significant at level = the Pvalue is less than.05. both (A) and (C) are true. both (B) and (C) are true. 12. If we reject the null hypothesis when, in fact, it is true, we have committed a Type I error. committed a Type II error. a probability of being correct that is equal to the Pvalue. a probability of being correct that is equal to 1 Pvalue. set the level too high. 13. A Type II error is rejecting the null hypothesis when it is true. failing to reject the null hypothesis when it is false. incorrectly specifying the null hypothesis. incorrectly specifying the alternative hypothesis. more serious than a Type I error. 14. A researcher plans to conduct a test of hypotheses at the = 0.01 significance level. She designs her study to have a power of 0.90 at a particular alternative value of the parameter of interest. The probability that the researcher will commit a Type I error is equal to the Pvalue and cannot be determined until the data have been collected. 15. A researcher plans to conduct a test of hypotheses at the = 0.01 significance level. She designs her study to have a power of 0.90 at a particular alternative value of the parameter of interest. The probability that the researcher will commit a Type II error for the particular alternative value of the parameter at which she computed the power is equal to the 1  (Pvalue) and cannot be determined until the data have been collected. Chapter Review
3 16. The power of a statistical test of hypotheses is the smallest significance level at which the data will allow you to reject the null hypothesis. equal to 1  (Pvalue). the probability that the test will reject both onesided and twosided hypotheses. the probability that a significance test will reject the null hypothesis when a particular alternative value of the parameter is true. equal to 1  P (Type I error). 17. Which of the following will increase the power of a statistical test of significance. Increase the Type II error probability. Increase the sample size. Reject the null hypothesis only if the Pvalue is smaller than the level of significance. Decrease the level. All of the above. 18. In hypothesis testing, is the probability of committing a Type II error. The power of the test,, is then the probability of rejecting H 0 when H a is true the probability of failing to reject H 0 when H a is true the probability of failing to reject H 0 when H 0 is true the probability of rejecting H 0 when H 0 is true the probability of failing to reject H An advertiser wishes to see if a new advertisement is effective in promoting an existing product. The previous advertisement has a recognition score of 3.7. An SRS of 12 potential buyers resulted in a mean recognition score of 3.4 with a standard deviation of 1.7. Which of the following required conditions for conducting a ttest for a mean has not been met? The population is at least 10 times the sample size. The data are taken from a simple random sample. The population is Normally distributed or n is large. The decision of each buyer is independent. All of the required conditions are met. Scenario 93 A December 2007 Gallup Poll reported that 43% of Americans use the internet for an hour or more each day. You suspect that a higher proportion of students at your school use the internet that much. To find out, you take a simple random sample of 60 students and find that 35 of them use the internet for an hour or more each day. (Assume your school has enough students so that this is a small sample relative to the size of the population). You will test the hypotheses, where p = the proportion of students at your school who use the internet for an hour or more each day, at the = 0.01 level. 20. Use Scenario 93. The test statistic, Pvalue, and appropriate decision for this test are: z = 2.40; Pvalue = 0.008; reject H o z = 2.40; Pvalue = 0.008; fail to reject H o t = 2.40; Pvalue = ; reject H o t = 2.40; Pvalue = ; fail to reject H o no conclusion can be drawn, because the shape of the sampling distribution is unknown. 21. In 1999, 2.2% of all cars in the United States were reported stolen. In a random sample of 400 Nissan Maxima cars that year, 12 were reported stolen. Is this evidence (at the = 0.05 level) that the theft rate for this model is higher than the national rate? Yes, the Pvalue = , so we reject H 0 and conclude that the rate for Nissans is higher that 2.2%. No, the Pvalue = , so we fail to reject H 0 and cannot conclude that the rate for Nissans is higher that 2.2%. Yes, the Pvalue = , so we reject H 0 and conclude that the rate for Nissans is higher that 2.2%. No, the Pvalue = , so we fail to reject H 0 and cannot conclude that the rate for Nissans is higher that 2.2%. We cannot perform this test because the conditions for inference have not been met. Chapter Review
4 Scenario 94 An SRS of 100 postal employees found that the average time these employees had worked for the postal service was J = 7 years with standard deviation s = 2 years. Assume the distribution of the time the population of employees have worked for the postal service is approximately Normal with mean. Are these data evidence that has changed from the value of 7.5 years of 20 years ago? To make this determination we test the hypotheses H 0 : = 7.5, H a : 7.5 using a onesample t test. 22. Use Scenario 94. Which of the following intervals contains the Pvalue for this test? larger than 0.10 between 0.10 and 0.05 between 0.05 and 0.01 below 0.01 The Pvalue cannot be determined, since the standard deviation of the population from 20 years ago is not known. 23. Use Scenario 94. Suppose the mean and standard deviation we obtained were based on a sample of 25 postal workers, rather than 100. The Pvalue would be larger. smaller. unchanged, since the difference between and the hypothesized value = 7.5 is unchanged. unchanged, since both groups of workers have the same type of job. unchanged, since the variability measured by the standard deviation stays the same. 24. You construct a 95% confidence interval for a mean and find it to be 1.1 ± 0.8. Which of the following is true? A test of the hypotheses H 0 : = 1.2, H a : 1.2 would reject H 0 at the 0.05 level. A test of the hypotheses H 0 : = 1.1, H a : 1.1 would reject H 0 at the 0.05 level. A test of the hypotheses H 0 : = 0, H a : 0 would reject H 0 at the 0.05 level. All three tests above would reject H 0 at the 0.05 level. A test of hypothesis cannot be performed from only a confidence interval. 25. I wish to test the hypothesis based on an SRS of size n from a Normal population. I calculate a 95% confidence interval for and find it to be 1.33 to Which of the following is true? I would reject H 0 at level.05. I would reject H a at level.05. The Pvalue is.05. A mistake has almost certainly been made. The confidence interval must contain = 5 at least 95% of the time. None of these. 26. You test the hypothesis against the alternative and obtain a Pvalue of Which of the following must be true? A 95% confidence interval for will include the value 1. A 95% confidence interval for will include the value 0. A 99% confidence interval for will include the value 1. A 99% confidence interval for will include the value 0. None of these is necessarily true. 27. You have data on rainwater collected at 16 locations in the Adirondack Mountains of New York State. One measurement is the acidity of the water, measured by ph on a scale of 0 to 14 (the ph of distilled water is 7.0). Which inference procedure would you use to estimate the average acidity of rainwater in the Adirondacks? onesample z interval for onesample t interval for one proportion ztest onesample t test onesample z test Chapter Review
5 Chapter Review Answer Section MULTIPLE CHOICE 1. ANS: A PTS: 1 TOP: Idea of null hypothesis 2. ANS: B PTS: 1 TOP: Stating hypotheses 3. ANS: A PTS: 1 TOP: Idea of Pvalue 4. ANS: E PTS: 1 TOP: Stating hypotheses 5. ANS: A PTS: 1 TOP: Stating hypotheses 6. ANS: C PTS: 1 TOP: Idea of Pvalue 7. ANS: D PTS: 1 TOP: Idea of Pvalue 8. ANS: E PTS: 1 TOP: Idea of Pvalue 9. ANS: D PTS: 1 TOP: Pvalue only gives evidence against null 10. ANS: C PTS: 1 TOP: Idea of Pvalue 11. ANS: D PTS: 1 TOP: Statistical significance 12. ANS: A PTS: 1 TOP: Type I and II error 13. ANS: B PTS: 1 TOP: Type I and II error 14. ANS: A PTS: 1 TOP: Type I and II error 15. ANS: B PTS: 1 TOP: Type I and II error 16. ANS: D PTS: 1 TOP: Power of a test 17. ANS: B PTS: 1 TOP: Power of a test 18. ANS: A PTS: 1 TOP: Type I and II error 19. ANS: C PTS: 1 TOP: Conditions for test of proportions 20. ANS: A PTS: 1 TOP: Calculations for proportions test 21. ANS: E PTS: 1 TOP: Conditions for test of proportions 22. ANS: C PTS: 1 TOP: Ttest: find Pvalue 23. ANS: A PTS: 1 TOP: Ttest: impact of non Pvalue 24. ANS: C PTS: 1 TOP: Link conf. interval and test of signif. 25. ANS: A PTS: 1 TOP: Link conf. interval and test of signif. 26. ANS: C PTS: 1 TOP: Link conf. interval and test of signif. 27. ANS: B PTS: 1 TOP: Choosing a procedure Chapter Review
BA 275 Review Problems  Week 6 (10/30/0611/3/06) CD Lessons: 53, 54, 55, 56 Textbook: pp. 394398, 404408, 410420
BA 275 Review Problems  Week 6 (10/30/0611/3/06) CD Lessons: 53, 54, 55, 56 Textbook: pp. 394398, 404408, 410420 1. Which of the following will increase the value of the power in a statistical test
More informationAn Introduction to Statistics Course (ECOE 1302) Spring Semester 2011 Chapter 10 TWOSAMPLE TESTS
The Islamic University of Gaza Faculty of Commerce Department of Economics and Political Sciences An Introduction to Statistics Course (ECOE 130) Spring Semester 011 Chapter 10 TWOSAMPLE TESTS Practice
More informationChapter 8 Introduction to Hypothesis Testing
Chapter 8 Student Lecture Notes 81 Chapter 8 Introduction to Hypothesis Testing Fall 26 Fundamentals of Business Statistics 1 Chapter Goals After completing this chapter, you should be able to: Formulate
More informationSolutions 7. Review, one sample ttest, independent twosample ttest, binomial distribution, standard errors and onesample proportions.
Solutions 7 Review, one sample ttest, independent twosample ttest, binomial distribution, standard errors and onesample proportions. (1) Here we debunk a popular misconception about confidence intervals
More informationSTA 2023H Solutions for Practice Test 4
1. Which statement is not true about confidence intervals? A. A confidence interval is an interval of values computed from sample data that is likely to include the true population value. B. An approximate
More information3.4 Statistical inference for 2 populations based on two samples
3.4 Statistical inference for 2 populations based on two samples Tests for a difference between two population means The first sample will be denoted as X 1, X 2,..., X m. The second sample will be denoted
More informationBA 275 Review Problems  Week 5 (10/23/0610/27/06) CD Lessons: 48, 49, 50, 51, 52 Textbook: pp. 380394
BA 275 Review Problems  Week 5 (10/23/0610/27/06) CD Lessons: 48, 49, 50, 51, 52 Textbook: pp. 380394 1. Does vigorous exercise affect concentration? In general, the time needed for people to complete
More informationAP STATISTICS 2009 SCORING GUIDELINES (Form B)
AP STATISTICS 2009 SCORING GUIDELINES (Form B) Question 5 Intent of Question The primary goals of this question were to assess students ability to (1) state the appropriate hypotheses, (2) identify and
More informationMCQ TESTING OF HYPOTHESIS
MCQ TESTING OF HYPOTHESIS MCQ 13.1 A statement about a population developed for the purpose of testing is called: (a) Hypothesis (b) Hypothesis testing (c) Level of significance (d) Teststatistic MCQ
More informationModule 5 Hypotheses Tests: Comparing Two Groups
Module 5 Hypotheses Tests: Comparing Two Groups Objective: In medical research, we often compare the outcomes between two groups of patients, namely exposed and unexposed groups. At the completion of this
More informationHypoTesting. Name: Class: Date: Multiple Choice Identify the choice that best completes the statement or answers the question.
Name: Class: Date: HypoTesting Multiple Choice Identify the choice that best completes the statement or answers the question. 1. A Type II error is committed if we make: a. a correct decision when the
More informationSTA218 Introduction to Hypothesis Testing
STA218 Introduction to Hypothesis Testing Al Nosedal. University of Toronto. Fall 2015 October 29, 2015 Who wants to be a millionaire? Let s say that one of you is invited to this popular show. As you
More informationThe calculations lead to the following values: d 2 = 46, n = 8, s d 2 = 4, s d = 2, SEof d = s d n s d n
EXAMPLE 1: Paired ttest and tinterval DBP Readings by Two Devices The diastolic blood pressures (DBP) of 8 patients were determined using two techniques: the standard method used by medical personnel
More informationE205 Final: Version B
Name: Class: Date: E205 Final: Version B Multiple Choice Identify the choice that best completes the statement or answers the question. 1. The owner of a local nightclub has recently surveyed a random
More informationHomework 6 Solutions
Math 17, Section 2 Spring 2011 Assignment Chapter 20: 12, 14, 20, 24, 34 Chapter 21: 2, 8, 14, 16, 18 Chapter 20 20.12] Got Milk? The student made a number of mistakes here: Homework 6 Solutions 1. Null
More informationAMS 5 HYPOTHESIS TESTING
AMS 5 HYPOTHESIS TESTING Hypothesis Testing Was it due to chance, or something else? Decide between two hypotheses that are mutually exclusive on the basis of evidence from observations. Test of Significance
More informationThird Midterm Exam (MATH1070 Spring 2012)
Third Midterm Exam (MATH1070 Spring 2012) Instructions: This is a one hour exam. You can use a notesheet. Calculators are allowed, but other electronics are prohibited. 1. [40pts] Multiple Choice Problems
More informationC. The null hypothesis is not rejected when the alternative hypothesis is true. A. population parameters.
Sample Multiple Choice Questions for the material since Midterm 2. Sample questions from Midterms and 2 are also representative of questions that may appear on the final exam.. A randomly selected sample
More informationName: Date: Use the following to answer questions 34:
Name: Date: 1. Determine whether each of the following statements is true or false. A) The margin of error for a 95% confidence interval for the mean increases as the sample size increases. B) The margin
More informationAP Statistics Hypothesis Testing Chapter 9. Intro to Significance Tests
Intro to Significance Tests Name Hr For the following pairs, indicate whether they are legitimate hypotheses and why. 1. 2. 3. 4. For each situation, state the null and alternate hypothesis. (Define your
More informationChapter 8: Hypothesis Testing of a Single Population Parameter
Chapter 8: Hypothesis Testing of a Single Population Parameter THE LANGUAGE OF STATISTICAL DECISION MAKING DEFINITIONS: The population is the entire group of objects or individuals under study, about which
More informationCHAPTER 15: Tests of Significance: The Basics
CHAPTER 15: Tests of Significance: The Basics The Basic Practice of Statistics 6 th Edition Moore / Notz / Fligner Lecture PowerPoint Slides Chapter 15 Concepts 2 The Reasoning of Tests of Significance
More informationChapter 16 Multiple Choice Questions (The answers are provided after the last question.)
Chapter 16 Multiple Choice Questions (The answers are provided after the last question.) 1. Which of the following symbols represents a population parameter? a. SD b. σ c. r d. 0 2. If you drew all possible
More informationHypothesis Testing and Confidence Interval Estimation
Biostatistics for Health Care Researchers: A Short Course Hypothesis Testing and Confidence Interval Estimation Presented ed by: Susan M. Perkins, Ph.D. Division of Biostatistics Indiana University School
More informationAn Introduction to Statistics Course (ECOE 1302) Spring Semester 2011 Chapter 9  FUNDAMENTALS OF HYPOTHESIS TESTING: ONESAMPLE TESTS
The Islamic University of Gaza Faculty of Commerce Department of Economics and Political Sciences An Introduction to Statistics Course (ECOE 302) Spring Semester 20 Chapter 9  FUNDAMENTALS OF HYPOTHESIS
More informationPart 1 Running a Hypothesis Test in Rcmdr
Math 17, Section 2 Spring 2011 Lab 7 Name SOLUTIONS Goal: To gain experience with hypothesis tests for a proportion Part 1 Running a Hypothesis Test in Rcmdr The goal of this part of the lab is to become
More informationMAT X Hypothesis Testing  Part I
MAT 2379 3X Hypothesis Testing  Part I Definition : A hypothesis is a conjecture concerning a value of a population parameter (or the shape of the population). The hypothesis will be tested by evaluating
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Sample Practice problems  chapter 121 and 2 proportions for inference  Z Distributions Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Provide
More informationHypothesis Testing. Steps for a hypothesis test:
Hypothesis Testing Steps for a hypothesis test: 1. State the claim H 0 and the alternative, H a 2. Choose a significance level or use the given one. 3. Draw the sampling distribution based on the assumption
More informationLAB 4 INSTRUCTIONS CONFIDENCE INTERVALS AND HYPOTHESIS TESTING
LAB 4 INSTRUCTIONS CONFIDENCE INTERVALS AND HYPOTHESIS TESTING In this lab you will explore the concept of a confidence interval and hypothesis testing through a simulation problem in engineering setting.
More informationGood luck! BUSINESS STATISTICS FINAL EXAM INSTRUCTIONS. Name:
Glo bal Leadership M BA BUSINESS STATISTICS FINAL EXAM Name: INSTRUCTIONS 1. Do not open this exam until instructed to do so. 2. Be sure to fill in your name before starting the exam. 3. You have two hours
More informationPractice problems for Homework 12  confidence intervals and hypothesis testing. Open the Homework Assignment 12 and solve the problems.
Practice problems for Homework 1  confidence intervals and hypothesis testing. Read sections 10..3 and 10.3 of the text. Solve the practice problems below. Open the Homework Assignment 1 and solve the
More informationHypothesis Testing. April 21, 2009
Hypothesis Testing April 21, 2009 Your Claim is Just a Hypothesis I ve never made a mistake. Once I thought I did, but I was wrong. Your Claim is Just a Hypothesis Confidence intervals quantify how sure
More informationProvide an appropriate response. Solve the problem. Determine the null and alternative hypotheses for the proposed hypothesis test.
Provide an appropriate response. 1) Suppose that x is a normally distributed variable on each of two populations. Independent samples of sizes n1 and n2, respectively, are selected from the two populations.
More informationMATH 214 (NOTES) Math 214 Al Nosedal. Department of Mathematics Indiana University of Pennsylvania. MATH 214 (NOTES) p. 1/6
MATH 214 (NOTES) Math 214 Al Nosedal Department of Mathematics Indiana University of Pennsylvania MATH 214 (NOTES) p. 1/6 "Pepsi" problem A market research consultant hired by the PepsiCola Co. is interested
More informationReview for Exam 2. H 0 : p 1 p 2 = 0 H A : p 1 p 2 0
Review for Exam 2 1 Time in the shower The distribution of the amount of time spent in the shower (in minutes) of all Americans is rightskewed with mean of 8 minutes and a standard deviation of 10 minutes.
More informationMind on Statistics. Chapter 12
Mind on Statistics Chapter 12 Sections 12.1 Questions 1 to 6: For each statement, determine if the statement is a typical null hypothesis (H 0 ) or alternative hypothesis (H a ). 1. There is no difference
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
STATISTICS/GRACEY EXAM 3 PRACTICE/CH. 89 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the Pvalue for the indicated hypothesis test. 1) A
More informationGeneral Method: Difference of Means. 3. Calculate df: either WelchSatterthwaite formula or simpler df = min(n 1, n 2 ) 1.
General Method: Difference of Means 1. Calculate x 1, x 2, SE 1, SE 2. 2. Combined SE = SE1 2 + SE2 2. ASSUMES INDEPENDENT SAMPLES. 3. Calculate df: either WelchSatterthwaite formula or simpler df = min(n
More informationConfidence Intervals and Hypothesis Testing
Name: Class: Date: Confidence Intervals and Hypothesis Testing Multiple Choice Identify the choice that best completes the statement or answers the question. 1. The librarian at the Library of Congress
More informationHypothesis Test for Mean Using Given Data (Standard Deviation Knownztest)
Hypothesis Test for Mean Using Given Data (Standard Deviation Knownztest) A hypothesis test is conducted when trying to find out if a claim is true or not. And if the claim is true, is it significant.
More informationPsychology 60 Fall 2013 Practice Exam Actual Exam: Next Monday. Good luck!
Psychology 60 Fall 2013 Practice Exam Actual Exam: Next Monday. Good luck! Name: 1. The basic idea behind hypothesis testing: A. is important only if you want to compare two populations. B. depends on
More informationStatistics for Management IISTAT 362Final Review
Statistics for Management IISTAT 362Final Review Multiple Choice Identify the letter of the choice that best completes the statement or answers the question. 1. The ability of an interval estimate to
More informationStatistiek I. ttests. John Nerbonne. CLCG, Rijksuniversiteit Groningen. John Nerbonne 1/35
Statistiek I ttests John Nerbonne CLCG, Rijksuniversiteit Groningen http://wwwletrugnl/nerbonne/teach/statistieki/ John Nerbonne 1/35 ttests To test an average or pair of averages when σ is known, we
More informationChapter 8 Hypothesis Tests. Chapter Table of Contents
Chapter 8 Hypothesis Tests Chapter Table of Contents Introduction...157 OneSample ttest...158 Paired ttest...164 TwoSample Test for Proportions...169 TwoSample Test for Variances...172 Discussion
More informationMath 1070 Exam 2B 22 March, 2013
Math 1070 Exam 2B 22 March, 2013 This exam will last 50 minutes and consists of 13 multiple choice and 6 free response problems. Write your answers in the space provided. All solutions must be sufficiently
More informationChapter 8 Hypothesis Testing Chapter 8 Hypothesis Testing 81 Overview 82 Basics of Hypothesis Testing
Chapter 8 Hypothesis Testing 1 Chapter 8 Hypothesis Testing 81 Overview 82 Basics of Hypothesis Testing 83 Testing a Claim About a Proportion 85 Testing a Claim About a Mean: s Not Known 86 Testing
More informationBusiness Statistics. Lecture 8: More Hypothesis Testing
Business Statistics Lecture 8: More Hypothesis Testing 1 Goals for this Lecture Review of ttests Additional hypothesis tests Twosample tests Paired tests 2 The Basic Idea of Hypothesis Testing Start
More informationProblem Set 2  Solutions
Ecn 102  Analysis of Economic Data University of California  Davis January 13, 2010 John Parman Problem Set 2  Solutions This problem set will be not be graded and does not need to be turned in. However,
More informationThe alternative hypothesis,, is the statement that the parameter value somehow differs from that claimed by the null hypothesis. : 0.5 :>0.5 :<0.
Section 8.28.5 Null and Alternative Hypotheses... The null hypothesis,, is a statement that the value of a population parameter is equal to some claimed value. :=0.5 The alternative hypothesis,, is the
More information93.4 Likelihood ratio test. NeymanPearson lemma
93.4 Likelihood ratio test NeymanPearson lemma 91 Hypothesis Testing 91.1 Statistical Hypotheses Statistical hypothesis testing and confidence interval estimation of parameters are the fundamental
More informationHypothesis Testing. Lecture 10
Lecture 10 Hypothesis Testing A hypothesis is a conjecture about the distribution of some random variables. For example, a claim about the value of a parameter of the statistical model. There are two types
More informationCHAPTER 11 SECTION 2: INTRODUCTION TO HYPOTHESIS TESTING
CHAPTER 11 SECTION 2: INTRODUCTION TO HYPOTHESIS TESTING MULTIPLE CHOICE 56. In testing the hypotheses H 0 : µ = 50 vs. H 1 : µ 50, the following information is known: n = 64, = 53.5, and σ = 10. The standardized
More informationGeneral Procedure for Hypothesis Test. Five types of statistical analysis. 1. Formulate H 1 and H 0. General Procedure for Hypothesis Test
Five types of statistical analysis General Procedure for Hypothesis Test Descriptive Inferential Differences Associative Predictive What are the characteristics of the respondents? What are the characteristics
More informationConstruct a scatterplot for the given data. 2) x Answer:
Review for Test 5 STA 2023 spr 2014 Name Given the linear correlation coefficient r and the sample size n, determine the critical values of r and use your finding to state whether or not the given r represents
More information1 Confidence intervals
Math 143 Inference for Means 1 Statistical inference is inferring information about the distribution of a population from information about a sample. We re generally talking about one of two things: 1.
More informationIntroduction to the Practice of Statistics Fifth Edition Moore, McCabe Section 8.1 Homework Answers
Introduction to the Practice of Statistics Fifth Edition Moore, McCabe Section 8.1 Homework Answers 8.1 In each of the following circumstances state whether you would use the large sample confidence interval,
More informationChapter 8. Hypothesis Testing
Chapter 8 Hypothesis Testing Hypothesis In statistics, a hypothesis is a claim or statement about a property of a population. A hypothesis test (or test of significance) is a standard procedure for testing
More informationPower & Effect Size power Effect Size
Power & Effect Size Until recently, researchers were primarily concerned with controlling Type I errors (i.e. finding a difference when one does not truly exist). Although it is important to make sure
More informationUnit 26 Estimation with Confidence Intervals
Unit 26 Estimation with Confidence Intervals Objectives: To see how confidence intervals are used to estimate a population proportion, a population mean, a difference in population proportions, or a difference
More informationSection 12.2, Lesson 3. What Can Go Wrong in Hypothesis Testing: The Two Types of Errors and Their Probabilities
Today: Section 2.2, Lesson 3: What can go wrong with hypothesis testing Section 2.4: Hypothesis tests for difference in two proportions ANNOUNCEMENTS: No discussion today. Check your grades on eee and
More informationp1^ = 0.18 p2^ = 0.12 A) 0.150 B) 0.387 C) 0.300 D) 0.188 3) n 1 = 570 n 2 = 1992 x 1 = 143 x 2 = 550 A) 0.270 B) 0.541 C) 0.520 D) 0.
Practice for chapter 9 and 10 Disclaimer: the actual exam does not mirror this. This is meant for practicing questions only. The actual exam in not multiple choice. Find the number of successes x suggested
More informationindicate how accurate the is and how we are that the result is correct. We use intervals for this purpose.
Sect. 6.1: Confidence Intervals Statistical Confidence When we calculate an, say, of the population parameter, we want to indicate how accurate the is and how we are that the result is correct. We use
More informationTwosample hypothesis testing, I 9.07 3/09/2004
Twosample hypothesis testing, I 9.07 3/09/2004 But first, from last time More on the tradeoff between Type I and Type II errors The null and the alternative: Sampling distribution of the mean, m, given
More informationHypothesis testing allows us to use a sample to decide between two statements made about a Population characteristic.
Hypothesis Testing Hypothesis testing allows us to use a sample to decide between two statements made about a Population characteristic. Population Characteristics are things like The mean of a population
More informationInferential Statistics
Inferential Statistics Sampling and the normal distribution Zscores Confidence levels and intervals Hypothesis testing Commonly used statistical methods Inferential Statistics Descriptive statistics are
More informationHypothesis Testing Level I Quantitative Methods. IFT Notes for the CFA exam
Hypothesis Testing 2014 Level I Quantitative Methods IFT Notes for the CFA exam Contents 1. Introduction... 3 2. Hypothesis Testing... 3 3. Hypothesis Tests Concerning the Mean... 10 4. Hypothesis Tests
More informationChapter 21. More About Tests and Intervals. Copyright 2012, 2008, 2005 Pearson Education, Inc.
Chapter 21 More About Tests and Intervals Copyright 2012, 2008, 2005 Pearson Education, Inc. Zero In on the Null Null hypotheses have special requirements. To perform a hypothesis test, the null must be
More informationChapter 7. Section Introduction to Hypothesis Testing
Section 7.1  Introduction to Hypothesis Testing Chapter 7 Objectives: State a null hypothesis and an alternative hypothesis Identify type I and type II errors and interpret the level of significance Determine
More informationHow to Conduct a Hypothesis Test
How to Conduct a Hypothesis Test The idea of hypothesis testing is relatively straightforward. In various studies we observe certain events. We must ask, is the event due to chance alone, or is there some
More informationAP Statistics 2009 Scoring Guidelines Form B
AP Statistics 2009 Scoring Guidelines Form B The College Board The College Board is a notforprofit membership association whose mission is to connect students to college success and opportunity. Founded
More information6.1 The Elements of a Test of Hypothesis
University of California, Davis Department of Statistics Summer Session II Statistics 13 August 22, 2012 Date of latest update: August 20 Lecture 6: Tests of Hypothesis Suppose you wanted to determine
More informationpvalues / Tests on Proportions Solutions STATUB.0103 Statistics for Business Control and Regression Models
pvalues / Tests on Proportions Solutions STATUB.0103 Statistics for Business Control and Regression Models pvalues 1. In the Quarter Pounder example, we we tested the null hypothesis that the weight
More informationAP Statistics 2007 Scoring Guidelines
AP Statistics 2007 Scoring Guidelines The College Board: Connecting Students to College Success The College Board is a notforprofit membership association whose mission is to connect students to college
More informationSTAT 350 Practice Final Exam Solution (Spring 2015)
PART 1: Multiple Choice Questions: 1) A study was conducted to compare five different training programs for improving endurance. Forty subjects were randomly divided into five groups of eight subjects
More informationAugust 2012 EXAMINATIONS Solution Part I
August 01 EXAMINATIONS Solution Part I (1) In a random sample of 600 eligible voters, the probability that less than 38% will be in favour of this policy is closest to (B) () In a large random sample,
More informationHypothesis Testing Introduction
Hypothesis Testing Introduction Hypothesis: A conjecture about the distribution of some random variables. A hypothesis can be simple or composite. A simple hypothesis completely specifies the distribution.
More informationCHAPTER 9 HYPOTHESIS TESTING
CHAPTER 9 HYPOTHESIS TESTING The TI83 Plus and TI84 Plus fully support hypothesis testing. Use the key, then highlight TESTS. The options used in Chapter 9 are given on the two screens. TESTING A SINGLE
More informationChapter 23 Inferences About Means
Chapter 23 Inferences About Means Chapter 23  Inferences About Means 391 Chapter 23 Solutions to Class Examples 1. See Class Example 1. 2. We want to know if the mean battery lifespan exceeds the 300minute
More informationAP Statistics 2004 Scoring Guidelines
AP Statistics 2004 Scoring Guidelines The materials included in these files are intended for noncommercial use by AP teachers for course and exam preparation; permission for any other use must be sought
More informationCase l: Watchdog, Inc: Keeping hospitals honest
Case l: Watchdog, Inc: Keeping hospitals honest Insurance companies hire independent firms like Watchdog, Inc to review their hospital bills. They pay Watchdog a percentage of the overcharges it finds.
More informationACTM State ExamStatistics
ACTM State ExamStatistics For the 25 multiplechoice questions, make your answer choice and record it on the answer sheet provided. Once you have completed that section of the test, proceed to the tiebreaker
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
STT315 Practice Ch 57 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. 1) The length of time a traffic signal stays green (nicknamed
More informationHypothesis Testing Introduction
Hypothesis Testing Introduction Hypothesis: A conjecture about the distribution of some random variables. For example, a claim about the value of a parameter of the statistical model. A hypothesis can
More informationMATH 10: Elementary Statistics and Probability Chapter 9: Hypothesis Testing with One Sample
MATH 10: Elementary Statistics and Probability Chapter 9: Hypothesis Testing with One Sample Tony Pourmohamad Department of Mathematics De Anza College Spring 2015 Objectives By the end of this set of
More information13 TwoSample T Tests
www.ck12.org CHAPTER 13 TwoSample T Tests Chapter Outline 13.1 TESTING A HYPOTHESIS FOR DEPENDENT AND INDEPENDENT SAMPLES 270 www.ck12.org Chapter 13. TwoSample T Tests 13.1 Testing a Hypothesis for
More informationHypothesis tests: the ttests
Hypothesis tests: the ttests Introduction Invariably investigators wish to ask whether their data answer certain questions that are germane to the purpose of the investigation. It is often the case that
More informationI. Basics of Hypothesis Testing
Introduction to Hypothesis Testing This deals with an issue highly similar to what we did in the previous chapter. In that chapter we used sample information to make inferences about the range of possibilities
More informationChapter 2. Hypothesis testing in one population
Chapter 2. Hypothesis testing in one population Contents Introduction, the null and alternative hypotheses Hypothesis testing process Type I and Type II errors, power Test statistic, level of significance
More informationStatistical Inference and ttests
1 Statistical Inference and ttests Objectives Evaluate the difference between a sample mean and a target value using a onesample ttest. Evaluate the difference between a sample mean and a target value
More informationSTT 430/630/ES 760 Lecture Notes: Chapter 6: Hypothesis Testing 1. February 23, 2009 Chapter 6: Introduction to Hypothesis Testing
STT 430/630/ES 760 Lecture Notes: Chapter 6: Hypothesis Testing 1 February 23, 2009 Chapter 6: Introduction to Hypothesis Testing One of the primary uses of statistics is to use data to infer something
More informationLesson 1: Comparison of Population Means Part c: Comparison of Two Means
Lesson : Comparison of Population Means Part c: Comparison of Two Means Welcome to lesson c. This third lesson of lesson will discuss hypothesis testing for two independent means. Steps in Hypothesis
More informationStatistics 2015 Scoring Guidelines
AP Statistics 2015 Scoring Guidelines College Board, Advanced Placement Program, AP, AP Central, and the acorn logo are registered trademarks of the College Board. AP Central is the official online home
More informationTesting: is my coin fair?
Testing: is my coin fair? Formally: we want to make some inference about P(head) Try it: toss coin several times (say 7 times) Assume that it is fair ( P(head)= ), and see if this assumption is compatible
More informationIntroduction. Hypothesis Testing. Hypothesis Testing. Significance Testing
Introduction Hypothesis Testing Mark Lunt Arthritis Research UK Centre for Ecellence in Epidemiology University of Manchester 13/10/2015 We saw last week that we can never know the population parameters
More informationTtest in SPSS Hypothesis tests of proportions Confidence Intervals (End of chapter 6 material)
Ttest in SPSS Hypothesis tests of proportions Confidence Intervals (End of chapter 6 material) Definition of pvalue: The probability of getting evidence as strong as you did assuming that the null hypothesis
More informationHypothesis testing: Examples. AMS7, Spring 2012
Hypothesis testing: Examples AMS7, Spring 2012 Example 1: Testing a Claim about a Proportion Sect. 7.3, # 2: Survey of Drinking: In a Gallup survey, 1087 randomly selected adults were asked whether they
More informationAP Statistics 2011 Scoring Guidelines
AP Statistics 2011 Scoring Guidelines The College Board The College Board is a notforprofit membership association whose mission is to connect students to college success and opportunity. Founded in
More informationHypothesis Testing. Hypothesis Testing CS 700
Hypothesis Testing CS 700 1 Hypothesis Testing! Purpose: make inferences about a population parameter by analyzing differences between observed sample statistics and the results one expects to obtain if
More informationMONT 107N Understanding Randomness Solutions For Final Examination May 11, 2010
MONT 07N Understanding Randomness Solutions For Final Examination May, 00 Short Answer (a) (0) How are the EV and SE for the sum of n draws with replacement from a box computed? Solution: The EV is n times
More information