9.1 Hypothesis Testing


 Phoebe Flynn
 1 years ago
 Views:
Transcription
1 9.1 Hypothesis Testing Define: 1. Null Hypothesis 2. Alternative Hypothesis Null Hypothesis: H 0, statement that the population proportion, or population mean is EQUAL TO a number population proportion population mean Jan 28 9:59 AM Jan 28 10:36 AM Examples of Claims 1 A TV network claims that the average length of time devoted to commercials in a 60 min program is 12 minutes. State the null hypothesis: Alternative hypothesis H 1 or H a a statement to show that the population proportion or population mean is DIFFERENT than the null hypothesis State the claim: Examples 2 Medical researchers claim that the mean body temperature of healthy adults is not equal to 98.6 State the null hypothesis: Proportions Mean State the claim: Jan 28 10:00 AM Jan 28 10:43 AM Example: A study of average shopping times in a large national house ware store gave the following information Women with a female companion: 8.3 min Women with male companion: 4.5 min Suppose you want to set up a statistical test to challenge the claim that a woman with a female friend spends an average of 8.3 min shopping in such a store. a) What is the null and alternative hypotheses if you believe the average time is less than 8.3 minutes? What is type of test is used? b) What is the null and alternative hypotheses if you believe the average shopping time is different from 8.3 min? What type of test is used? Suppose stores installed entertainment centers for the male companions who are shopping with women. c)what would you use for the null and alternative hypotheses if you believe that the average shopping time with a male companion is more than 4.5 min? What type of test is used? Feb 2 2:07 PM Feb 2 2:11 PM 1
2 d)what would you use for the null hypotheses if you believe that the average shopping time with a male companion is the store is different from 4.5 min? What type of test is used? Types of Tests: Determined by the Alternative Hypothesis. Left tailed test: If the alternative hypothesis, H 1, is stating that the parameter is less than the value claimed in the null hypothesis,h 0. Right tailed test:if the alternative hypothesis, H 1, is stating that the parameter is greater than the value claimed in the null hypothesis,h 0. Two tailed test:if the alternative hypothesis, H 1, is stating that the parameter is different than the value claimed in the null hypothesis,h 0. Feb 2 2:17 PM Feb 2 1:58 PM homework BRASE pg 411 #2,5,7,8 Day 2 Hypothesis testing Review: State the null and alternative hypotheses and identify the claim. a) A school publicizes that the proportion of its students who are involved in at least one extracurricular activity is 61% b) A car dealership announces that the mean time for an oil change is less than 15 minutes c) A company advertises that the mean life of its furnances is more than 18 years. Feb 2 2:18 PM Feb 9 8:16 AM Types of Errors and Significance Level When you perform a hypothesis test, your ultimate goal is to make one of two decisions: 1) reject the null hypothesis 2) fail to reject the null hypothesis Type I and Type II Errors Truth of H 0 If H 0 is true we do not reject H0 we do reject H0 Correct decision Type I error If H 0 is false Type II error Correct decision Since your decision to reject H 0 or fail to reject H 0 is based on a sample, you must accept the fact that your decision might be incorrect. You might reject a null hypothesis when it is actually true, or you might fail to reject a null hypothesis when it is actually false. Feb 9 8:18 AM Feb 2 3:37 PM 2
3 Significance Level is the probability of rejecting the null hypothesis when it is actually TRUE (Type I error) β The probability of failing to reject the null hypothesis when it is indeed FALSE (Type II error = β) Identifying Type I and Type II Errors: The USDA limit for salmonella contamination for chicken is 20%. A meat inspector reports that the chicken produced by a company exceeds the USDA limit. You perform a hypothesis test to determine whether the mean inspector's claim is true. When will a Type I or Type II error occur? Which is more serious? A company specialized in parachute assembly states that it's main parachute failure rate is not more than 1%. You perform a hypothesis test to determine whether the company's claim is false. When will a type I or type II error occur? Which is more serious? Jan 28 2:35 PM Feb 9 8:52 AM FAIL TO REJECT VS ACCEPTING THE NULL HYPOTHESIS The phrase fail to reject says that the evidence in the sample isn't strong enough to warrant a rejection of the null hypothesis, it does not say that we 100% without a doubt accept the statement. That cannot be said unless data from an ENTIRE population is used. Example 1: Find the critical z values, and draw a curve with a critical region. Assume a normal distribution a) Two tailed test, α= 0.5 b) Right tailed test, α= 0.1 c) Left tailed test, α = 0.01 d) α=0.10, H 1 is p>0.18 e) α=0.005, H 1 is p 0.18 Feb 9 8:30 AM Feb 9 9:01 AM Day 2 Homework 9.1 Worksheet Page 1 #5 19 odd, Page 2 #31 39 odd 9.1 Day 3 Using P Values to Make Decisions Test Statistic and P Values Test Statistic: Value computed from the sample data. This value is used to make a decision to reject the null hypothesis or fail to reject the null hypothesis. We use: Test statistic for proportion: Test statistic for mean or known standard deviation unknown standard deviation Feb 9 12:31 PM Feb 2 2:24 PM 3
4 TRADITIONAL METHOD Critical Region: If the test statistics falls into the critical region of a normal curve, we reject the null hypothesis. Find the critical z value, and graph the critical region: P Value: The probability of having a sample statistic with a more extreme value than the one determined from the sample data(test statistic) right tailed test: α=0.005 α=0.04, H 1 is p 0.25 Feb 3 2:35 PM Feb 9 2:22 PM Example 2: Find the P Value a) right tailed test, z=0.70 b) left tailed test z= 1.34 c) two tailed test z=1.4 d) With H a >0.3, z=1.54 P VALUE METHOD Compare P Value with α  If P α, then reject H 0  If P> α, then fail to reject H 0 e) With H a 0.25, z=.75 Feb 3 2:47 PM Feb 9 12:44 PM Find the P Value for a Hypothesis Test a) Find the P value for a left tailed hypothesis test with a test statistics of z= Decide whether to reject H 0 if the level of significance is α=0.01 b) Find the P Value for a right tailed hypothesis test with a test statistic of z=1.71. Decide whether to reject H 0 if the level of significance is α=0.05 Solving a Hypothesis Test Question Step 1: Identify the null and alternative hypotheses Example: A pit crew claims that it's mean pit stop time is less than 13 seconds. A random selection of 32 pit stop times has a sample mean of 12.9 and a standard deviation of 0.19 second. Is there enough evidence to support the claim at claim Feb 9 12:47 PM Jan 28 10:52 AM 4
5 Step 2: Specify the level of significance Step 3: Determine the test statistic Used to accept or reject the null hypothesis Step 4: Draw a sketch showing the P Value area on the standard normal distribution. Find the P Value Jan 28 11:09 AM Feb 3 2:31 PM Step 5: Compare the level of significance with the P Value. What is your conclusion? Step 6: Interpret your results in the context of the problem Feb 9 1:33 PM Feb 3 2:34 PM homework 9.1 worksheet page 1 #25 31 odd, pg 413 #9 13 odd Jan 28 1:30 PM Feb 14 11:14 AM 5
Chapter 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 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 informationMeasuring the Power of a Test
Textbook Reference: Chapter 9.5 Measuring the Power of a Test An economic problem motivates the statement of a null and alternative hypothesis. For a numeric data set, a decision rule can lead to the rejection
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 informationHomework #3 is due Friday by 5pm. Homework #4 will be posted to the class website later this week. It will be due Friday, March 7 th, at 5pm.
Homework #3 is due Friday by 5pm. Homework #4 will be posted to the class website later this week. It will be due Friday, March 7 th, at 5pm. Political Science 15 Lecture 12: Hypothesis Testing Sampling
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 informationHypothesis Testing  One Mean
Hypothesis Testing  One Mean A hypothesis is simply a statement that something is true. Typically, there are two hypotheses in a hypothesis test: the null, and the alternative. Null Hypothesis The hypothesis
More informationIntroduction to Hypothesis Testing. Hypothesis Testing. Step 1: State the Hypotheses
Introduction to Hypothesis Testing 1 Hypothesis Testing A hypothesis test is a statistical procedure that uses sample data to evaluate a hypothesis about a population Hypothesis is stated in terms of the
More informationHypothesis Testing I
Hypothesis Testing I Tests for the Mean WEEK EIGHT This worksheet relates to chapter eight of the text book (Statistics for Managers 4 th Edition). This topic is crucial for the final exam and for further
More informationIntroduction to Hypothesis Testing. Point estimation and confidence intervals are useful statistical inference procedures.
Introduction to Hypothesis Testing Point estimation and confidence intervals are useful statistical inference procedures. Another type of inference is used frequently used concerns tests of hypotheses.
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 informationHYPOTHESIS TESTING: POWER OF THE TEST
HYPOTHESIS TESTING: POWER OF THE TEST The first 6 steps of the 9step test of hypothesis are called "the test". These steps are not dependent on the observed data values. When planning a research project,
More informationLecture 13 More on hypothesis testing
Lecture 13 More on hypothesis testing Thais Paiva STA 111  Summer 2013 Term II July 22, 2013 1 / 27 Thais Paiva STA 111  Summer 2013 Term II Lecture 13, 07/22/2013 Lecture Plan 1 Type I and type II error
More informationTRANSCRIPT: In this lecture, we will talk about both theoretical and applied concepts related to hypothesis testing.
This is Dr. Chumney. The focus of this lecture is hypothesis testing both what it is, how hypothesis tests are used, and how to conduct hypothesis tests. 1 In this lecture, we will talk about both theoretical
More informationChapter 9 Introduction to Hypothesis Testing
Chapter 9 Introduction to Hypothesis Testing 9.2  Hypothesis Testing Hypothesis testing is an eample of inferential statistics We use sample information to draw conclusions about the population from which
More informationSection 7.1. Introduction to Hypothesis Testing. Schrodinger s cat quantum mechanics thought experiment (1935)
Section 7.1 Introduction to Hypothesis Testing Schrodinger s cat quantum mechanics thought experiment (1935) Statistical Hypotheses A statistical hypothesis is a claim about a population. Null hypothesis
More informationChapter 1 Hypothesis Testing
Chapter 1 Hypothesis Testing Principles of Hypothesis Testing tests for one sample case 1 Statistical Hypotheses They are defined as assertion or conjecture about the parameter or parameters of a population,
More informationHypothesis Testing (unknown σ)
Hypothesis Testing (unknown σ) Business Statistics Recall: Plan for Today Null and Alternative Hypotheses Types of errors: type I, type II Types of correct decisions: type A, type B Level of Significance
More informationChapter III. Testing Hypotheses
Chapter III Testing Hypotheses R (Introduction) A statistical hypothesis is an assumption about a population parameter This assumption may or may not be true The best way to determine whether a statistical
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 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 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 informationHypothesis Testing. Barrow, Statistics for Economics, Accounting and Business Studies, 4 th edition Pearson Education Limited 2006
Hypothesis Testing Lecture 4 Hypothesis Testing Hypothesis testing is about making decisions Is a hypothesis true or false? Are women paid less, on average, than men? Principles of Hypothesis Testing The
More information82 Basics of Hypothesis Testing. Definitions. Rare Event Rule for Inferential Statistics. Null Hypothesis
82 Basics of Hypothesis Testing Definitions This section presents individual components of a hypothesis test. We should know and understand the following: How to identify the null hypothesis and alternative
More informationHYPOTHESIS TESTING III: POPULATION PROPORTIONS, ETC.
HYPOTHESIS TESTING III: POPULATION PROPORTIONS, ETC. HYPOTHESIS TESTS OF POPULATION PROPORTIONS Purpose: to determine whether the proportion in the population with some characteristic is or is not equal
More informationMath 10 MPS Homework 6 Answers to additional problems
Math 1 MPS Homework 6 Answers to additional problems 1. What are the two types of hypotheses used in a hypothesis test? How are they related? Ho: Null Hypotheses A statement about a population parameter
More informationChapter 9, Part A Hypothesis Tests. Learning objectives
Chapter 9, Part A Hypothesis Tests Slide 1 Learning objectives 1. Understand how to develop Null and Alternative Hypotheses 2. Understand Type I and Type II Errors 3. Able to do hypothesis test about population
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 information7 Hypothesis testing  one sample tests
7 Hypothesis testing  one sample tests 7.1 Introduction Definition 7.1 A hypothesis is a statement about a population parameter. Example A hypothesis might be that the mean age of students taking MAS113X
More informationChapter 7. Hypothesis Testing with One Sample
Chapter 7 Hypothesis Testing with One Sample 7.1 Introduction to Hypothesis Testing Hypothesis Tests A hypothesis test is a process that uses sample statistics to test a claim about the value of a population
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 informationCh. 8 Hypothesis Testing
Ch. 8 Hypothesis Testing 8.1 Foundations of Hypothesis Testing Definitions In statistics, a hypothesis is a claim about a property of a population. A hypothesis test is a standard procedure for testing
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 informationThe GoodnessofFit Test
on the Lecture 49 Section 14.3 HampdenSydney College Tue, Apr 21, 2009 Outline 1 on the 2 3 on the 4 5 Hypotheses on the (Steps 1 and 2) (1) H 0 : H 1 : H 0 is false. (2) α = 0.05. p 1 = 0.24 p 2 = 0.20
More informationN Mean Std. Deviation Std. Error of Mean
DEPARTMENT OF POLITICAL SCIENCE AND INTERNATIONAL RELATIONS Posc/Uapp 815 SAMPLE QUESTIONS FOR THE FINAL EXAMINATION I. READING: A. Read Agresti and Finalay, Chapters 6, 7, and 8 carefully. 1. Ignore the
More informationTests of Hypotheses: Means
Tests of Hypotheses: Means We often use inferential statistics to make decisions or judgments about the value of a parameter, such as a population mean. For example, we might need to decide whether the
More informationHypothesis Tests for a Population Proportion
Hypothesis Tests for a Population Proportion MATH 130, Elements of Statistics I J. Robert Buchanan Department of Mathematics Fall 2015 Review: Steps of Hypothesis Testing 1. A statement is made regarding
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 informationBasic Statistics Self Assessment Test
Basic Statistics Self Assessment Test Professor Douglas H. Jones PAGE 1 A sodadispensing machine fills 12ounce cans of soda using a normal distribution with a mean of 12.1 ounces and a standard deviation
More informationChapter 9: Hypothesis Testing GBS221, Class April 15, 2013 Notes Compiled by Nicolas C. Rouse, Instructor, Phoenix College
Chapter Objectives 1. Learn how to formulate and test hypotheses about a population mean and a population proportion. 2. Be able to use an Excel worksheet to conduct hypothesis tests about population means
More informationHypothesis Testing Summary
Hypothesis Testing Summary Hypothesis testing begins with the drawing of a sample and calculating its characteristics (aka, statistics ). A statistical test (a specific form of a hypothesis test) is an
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 informationIndependent t Test (Comparing Two Means)
Independent t Test (Comparing Two Means) The objectives of this lesson are to learn: the definition/purpose of independent ttest when to use the independent ttest the use of SPSS to complete an independent
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 informationChapter Additional: Standard Deviation and Chi Square
Chapter Additional: Standard Deviation and Chi Square Chapter Outline: 6.4 Confidence Intervals for the Standard Deviation 7.5 Hypothesis testing for Standard Deviation Section 6.4 Objectives Interpret
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 informationProbability & Statistics
Probability & Statistics BITS Pilani K K Birla Goa Campus Dr. Jajati Keshari Sahoo Department of Mathematics TEST OF HYPOTHESIS There are many problems in which, rather then estimating the value of a parameter,
More informationHYPOTHESIS TESTING AND TYPE I AND TYPE II ERROR
HYPOTHESIS TESTING AND TYPE I AND TYPE II ERROR Hypothesis is a conjecture (an inferring) about one or more population parameters. Null Hypothesis (H 0 ) is a statement of no difference or no relationship
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 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 informationBusiness Statistics, 9e (Groebner/Shannon/Fry) Chapter 9 Introduction to Hypothesis Testing
Business Statistics, 9e (Groebner/Shannon/Fry) Chapter 9 Introduction to Hypothesis Testing 1) Hypothesis testing and confidence interval estimation are essentially two totally different statistical procedures
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 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 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 informationThe Purpose of Hypothesis Testing
Section 8 1A: An Introduction to Hypothesis Testing The Purpose of Hypothesis Testing Seeʼs Candy states that a box of itʼs candy weighs 16 oz. They do not mean that every single box weights exactly 16
More information1. What are the two types of hypotheses used in a hypothesis test? How are they related?
Math 10  Homework 6 Part A 1. What are the two types of hypotheses used in a hypothesis test? How are they related? 2. Describe the two types of error possible in a hypothesis test decision. True or False?
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 informationIntroduction to. Hypothesis Testing CHAPTER LEARNING OBJECTIVES. 1 Identify the four steps of hypothesis testing.
Introduction to Hypothesis Testing CHAPTER 8 LEARNING OBJECTIVES After reading this chapter, you should be able to: 1 Identify the four steps of hypothesis testing. 2 Define null hypothesis, alternative
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 informationConfidence Interval: pˆ = E = Indicated decision: < p <
Hypothesis (Significance) Tests About a Proportion Example 1 The standard treatment for a disease works in 0.675 of all patients. A new treatment is proposed. Is it better? (The scientists who created
More informationHypothesis Testing. Concept of Hypothesis Testing
Quantitative Methods 2013 Hypothesis Testing with One Sample 1 Concept of Hypothesis Testing Testing Hypotheses is another way to deal with the problem of making a statement about an unknown population
More informationStatistics and Bioinformatics Problem set 8 Due in class, December 7
Practice exercises Statistics and Bioinformatics Problem set 8 Due in class, December 7 1) The t value is an appropriate test to use when the (true standard deviation, true mean) is not known but must
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 informationChapter 1112 1 Review
Chapter 1112 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
More informationreductio ad absurdum null hypothesis, alternate hypothesis
Chapter 10 s Using a Single Sample 10.1: Hypotheses & Test Procedures Basics: In statistics, a hypothesis is a statement about a population characteristic. s are based on an reductio ad absurdum form of
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 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 informationIntroduction to Hypothesis Testing
Introduction to Hypothesis Testing A Hypothesis Test for Heuristic Hypothesis testing works a lot like our legal system. In the legal system, the accused is innocent until proven guilty. After examining
More informationStep 1: Set up hypotheses that ask a question about the population by setting up two opposite statements about the possible value of the parameters.
HYPOTHESIS TEST CLASS NOTES Hypothesis Test: Procedure that allows us to ask a question about an unknown population parameter Uses sample data to draw a conclusion about the unknown population parameter.
More informationExample for testing one population mean:
Today: Sections 13.1 to 13.3 ANNOUNCEMENTS: We will finish hypothesis testing for the 5 situations today. See pages 586587 (end of Chapter 13) for a summary table. Quiz for week 8 starts Wed, ends Monday
More informationIntroduction to Hypothesis Testing
Introduction to Hypothesis Testing A Hypothesis Test for μ Heuristic Hypothesis testing works a lot like our legal system. In the legal system, the accused is innocent until proven guilty. After examining
More informationHypothesis Testing. Learning Objectives. After completing this module, the student will be able to
Hypothesis Testing Learning Objectives After completing this module, the student will be able to carry out a statistical test of significance calculate the acceptance and rejection region calculate and
More informationReasoning with Uncertainty More about Hypothesis Testing. Pvalues, types of errors, power of a test
Reasoning with Uncertainty More about Hypothesis Testing Pvalues, types of errors, power of a test PValues and Decisions Your conclusion about any null hypothesis should be accompanied by the Pvalue
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 information1. What is the critical value for this 95% confidence interval? CV = z.025 = invnorm(0.025) = 1.96
1 Final Review 2 Review 2.1 CI 1propZint Scenario 1 A TV manufacturer claims in its warranty brochure that in the past not more than 10 percent of its TV sets needed any repair during the first two years
More informationHypothesis Testing with One Sample. Introduction to Hypothesis Testing 7.1. Hypothesis Tests. Chapter 7
Chapter 7 Hypothesis Testing with One Sample 71 Introduction to Hypothesis Testing Hypothesis Tests A hypothesis test is a process that uses sample statistics to test a claim about the value of a population
More information4) The goodness of fit test is always a one tail test with the rejection region in the upper tail. Answer: TRUE
Business Statistics, 9e (Groebner/Shannon/Fry) Chapter 13 Goodness of Fit Tests and Contingency Analysis 1) A goodness of fit test can be used to determine whether a set of sample data comes from a specific
More informationA Quick Guide to Confidence Intervals and Hypotheses Tests Using the TICalc AP Statistics
Example: Confidence Intervals for One Proportion In January 2007, Consumer Reports conducted a study of bacteria in frozen chicken sold in the US. They purchased a random selection of 525 packages of frozen
More informationHypothesis Testing: Significance
STAT 101 Dr. Kari Lock Morgan Hypothesis Testing: Significance SECTION 4.3, 4.5 Significance level (4.3) Statistical conclusions (4.3) Type I and II errors (4.3) Statistical versus practical significance
More information4) The role of the sample mean in a confidence interval estimate for the population mean is to: 4)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) Assume that the change in daily closing prices for stocks on the New York Stock Exchange is a random
More informationNull Hypothesis H 0. The null hypothesis (denoted by H 0
Hypothesis test 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 a claim about a property
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 informationHYPOTHESIS TESTING (ONE SAMPLE)  CHAPTER 7 1. used confidence intervals to answer questions such as...
HYPOTHESIS TESTING (ONE SAMPLE)  CHAPTER 7 1 PREVIOUSLY used confidence intervals to answer questions such as... You know that 0.25% of women have red/green color blindness. You conduct a study of men
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 informationSections 4.54.7: TwoSample Problems. Paired ttest (Section 4.6)
Sections 4.54.7: TwoSample Problems Paired ttest (Section 4.6) Examples of Paired Differences studies: Similar subjects are paired off and one of two treatments is given to each subject in the pair.
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 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 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 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 7 Section 7.1: Inference for the Mean of a Population
Chapter 7 Section 7.1: Inference for the Mean of a Population Now let s look at a similar situation Take an SRS of size n Normal Population : N(, ). Both and are unknown parameters. Unlike what we used
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 informationExample Hypotheses. Chapter 82: Basics of Hypothesis Testing. A newspaper headline makes the claim: Most workers get their jobs through networking
Chapter 82: Basics of Hypothesis Testing Two main activities in statistical inference are using sample data to: 1. estimate a population parameter forming confidence intervals 2. test a hypothesis or
More informationSample Size Determination
Sample Size Determination Population A: 10,000 Population B: 5,000 Sample 10% Sample 15% Sample size 1000 Sample size 750 The process of obtaining information from a subset (sample) of a larger group (population)
More informationChapter 08. Introduction
Chapter 08 Introduction Hypothesis testing may best be summarized as a decision making process in which one attempts to arrive at a particular conclusion based upon "statistical" evidence. A typical hypothesis
More informationHypothesis testing  Steps
Hypothesis testing  Steps Steps to do a twotailed test of the hypothesis that β 1 0: 1. Set up the hypotheses: H 0 : β 1 = 0 H a : β 1 0. 2. Compute the test statistic: t = b 1 0 Std. error of b 1 =
More informationStatistics 2014 Scoring Guidelines
AP Statistics 2014 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 informationHypothesis testing for µ:
University of California, Los Angeles Department of Statistics Statistics 13 Elements of a hypothesis test: Hypothesis testing Instructor: Nicolas Christou 1. Null hypothesis, H 0 (always =). 2. Alternative
More informationFor eg: The yield of a new paddy variety will be 3500 kg per hectare scientific hypothesis. In Statistical language if may be stated as the random
Lecture.9 Test of significance Basic concepts null hypothesis alternative hypothesis level of significance Standard error and its importance steps in testing Test of Significance Objective To familiarize
More informationIntroductory Statistics Hypothesis Testing Review( Critical Value Approach)
MULTIPLE CHOICE. Introductory Statistics Hypothesis Testing Review( Critical Value Approach) Determine the critical value(s) for a onemean ztest. 1) A lefttailed test with α = 0.02. A) ±1.96 B) ±2.054
More informationHypothesis Testing  II
3σ 2σ +σ +2σ +3σ Hypothesis Testing  II Lecture 9 0909.400.01 / 0909.400.02 Dr. P. s Clinic Consultant Module in Probability & Statistics in Engineering Today in P&S 3σ 2σ +σ +2σ +3σ Review: Hypothesis
More information