Confidence Intervals for Population Proportions


 Jonathan Lyons
 7 months ago
 Views:
Transcription
1 Confidence Intervals for Population Proportions In section 4.2, we learned that the probability of success in a single trial of a binomial experiment is p. This probability is a population proportion. In this section, we will learn how to estimate a population proportion p using a confidence interval. Just like a confidence interval for μ, we will start with a point estimate. The point estimate for p, the population proportion of successes, is given by the proportion of successes in a sample and is denoted by Sample Proportion where x is the number of successes in the sample and n is the sample size. The point estimate for the population proportions of failures is The symbols and are read a "p hat" and "q hat." In a survey of 1000 U.S. teens, 372 said that they own smart phones. Find the point estimate for the population proportion of U.S. teens who own smart phones. n = 1000 and x = 372 1
2 Try It Yourself 1: In a survey of 2462 U.S. teachers, 123 said that "all or almost all" of the information they find using search engines online is accurate or trustworthy. find the point estimate. Confidence Intervals for a Population Proportion Constructing a confidence interval for a population proportion p is similar to constructing a confidence interval for a population mean. You start with a point estimate and margin of error. A c confidence interval for a population proportion is where Margin of error for p. The probability that the confidence interval contains p is c, assuming that the estimation process is repeated a large number of times. 2
3 Constructing Intervals for a Population Proportion Guidelines IN WORDS 1. Identify the sample statistics n and x. IN SYMBOLS 2. Find the point estimate 3. Verify that the sampling distribution of can be approximated by a normal distribution. 4. Find the critical value z c that corresponds to the given level of confidence c. Use Table 4 in Appendix B. 5. Find the margin of error E. 6. Find the left and right endpoints and form the confidence level. Left endpoint: Right endpoint: Interval: 3
4 EXAMPLE 2: In a survey of 1000 U.S. teens, 372 said they own smart phones. Construct a 95% confidence interval for the population proportion of U.S. teens who own smart phones. 1. n = 1000 x = z c = Margin of Error 6. Find left and right endpoints and confidence interval. Confidence Interval: Interpretation: With 95% confidence, you can say that the population proportion of U.S. teens who own smart phones is between 34.2% and 40.2%. 4
5 Constructing a Confidence Interval for a Population Proportion (Calculator) STAT TESTS SCROLL DOWN TO A (1 PROPZInt) x: # of successes n = total number c Level: confidence level SMARTPHONE EXAMPLE: STAT TESTS 1 PROPZInt x: 372 n: 1000 C Level: 95 ( ,.40196) 5
6 TRY IT YOURSELF 2 In a survey of 2462 U.S. teachers, 123 said that "all or almost all" of the information they find using search engines online is accurate or trustworthy. Construct a 90% confidence interval for the population proportion of U.S. teachers who believe that information they find using search engines online is accurate or trustworthy. (a) Find x, n, and (b) Verify that the sampling distribution can be approximated by a normal distribution. (c) Find z c and E. (d) Find right and left endpoints and the confidence interval. (e) Interpret the results. The confidence level of 95% used in Example 2 is typical of opinion polls. The result is usually not stated as a confidence interval. Instead, the result of example 2 would be stated as shown. A survey found that 37.2% of U.S. teens own smartphones. The margin of error for the survey is ± 3%. (Rounding the 2.5% for each side up to 3%) 6
7 EXAMPLE 3: The figure on page 323 is from a survey of 498 U.S. adults. Construct a 99% confidence interval for the population proportion of U.S. adults who think teenagers are the more dangerous drivers. Left endpoint: Right endpoint: Confidence interval: With 99% confidence, you can say the population of U.S. adults who think teenagers are the more dangerous drivers is between 65.8% and 76.2%. Try It Yourself 3: Use the data from P. 323 Example 3 to construct a 99% confidence interval for the population proportion of adults who think that people over 65 are the more dangerous drivers. (a) Find (b) Verify that the sampling distribution of (c) Find z c and E. can be approximated by a normal distribution. (d) Use and E to find the left and right endpoints of the confidence interval. (e) Interpret the results. 7
8 FINDING A MINIMUM SAMPLE SIZE Finding a Minimum Sample Size to Estimate p Given a c confidence level and a margin of error E, the minimum sample size n needed to estimate the population proportion p is This formula assumes that you have preliminary estimates of If not, use EXAMPLE 4: You are running a political campaign and wish to estimate, with 95% confidence, the population proportion of registered voters who will vote for your candidate. Your estimate must be accurate within 3% of the population proportion. Find the minimum sample size needed when (1) no preliminary estimate is available and (2) a preliminary estimate gives. Compare your results. 1. We don't have a preliminary estimate for, use Using z c = 1.96 and E = 0.03, you can solve for n. Because n is a decimal, round up to the nearest whole number,
9 2. We have a preliminary estimate of Using z c = 1.96 and E = 0.03, you can solve for n. Because n is a decimal, we would round up to 914. TRY IT YOURSELF 4: A researcher is estimating the population proportion of U.S. adults ages 18 to 24 who have had an HIV test. The estimate must be accurate within 2% of the population proportion with 90% confidence. Find the minimum sample size needed when a previous survey found that 31% of U.S. adults ages 18 to 24 have had an HIV test. (a) Identify (b) Use to find the minimum sample size n. Then determine how many should be included in the sample. P odds 9
10 10
Section 7.2 Confidence Intervals for Population Proportions
Section 7.2 Confidence Intervals for Population Proportions 2012 Pearson Education, Inc. All rights reserved. 1 of 83 Section 7.2 Objectives Find a point estimate for the population proportion Construct
More informationChapter 19 Confidence Intervals for Proportions
Chapter 19 Confidence Intervals for Proportions Use your TI calculator to find the confidence interval. You must know the number of successes, the sample size and confidence level. Under STAT go to TESTS.
More informationEstimating a Population Proportion
About the Lesson In this activity, students find the confidence interval for a population proportion by first finding the critical value and the margin of error. They confirm their answers by using the
More informationConfidence Intervals
Section 6.1 75 Confidence Intervals Section 6.1 C H A P T E R 6 4 Example 4 (pg. 284) Constructing a Confidence Interval Enter the data from Example 1 on pg. 280 into L1. In this example, n > 0, so the
More informationAn interval estimate (confidence interval) is an interval, or range of values, used to estimate a population parameter. For example 0.476<p<0.
Lecture #7 Chapter 7: Estimates and sample sizes In this chapter, we will learn an important technique of statistical inference to use sample statistics to estimate the value of an unknown population parameter.
More information9.2 Examples. Example 1
9.2 Examples Example 1 A simple random sample of size n is drawn. The sample mean,, is found to be 19.2, and the sample standard deviation, s, is found to be 4.7. a) Construct a 95% confidence interval
More informationDetermining the Sample Size: One Sample
Sample Sie Laboratory Determining the Sample Sie: One Sample OVERVIEW In this lab, you will be determining the sample sie for population means and population proportions. This lab is intended to help you
More informationSampling Distribution of a Sample Proportion
Sampling Distribution of a Sample Proportion From earlier material remember that if X is the count of successes in a sample of n trials of a binomial random variable then the proportion of success is given
More informationRound to Decimal Places
Day 1 1 Round 5.0126 to 2 decimal 2 Round 10.3217 to 3 decimal 3 Round 0.1371 to 3 decimal 4 Round 23.4004 to 2 decimal 5 Round 8.1889 to 2 decimal 6 Round 9.4275 to 2 decimal 7 Round 22.8173 to 1 decimal
More informationReview. March 21, 2011. 155S7.1 2_3 Estimating a Population Proportion. Chapter 7 Estimates and Sample Sizes. Test 2 (Chapters 4, 5, & 6) Results
MAT 155 Statistical Analysis Dr. Claude Moore Cape Fear Community College Chapter 7 Estimates and Sample Sizes 7 1 Review and Preview 7 2 Estimating a Population Proportion 7 3 Estimating a Population
More information11. CONFIDENCE INTERVALS FOR THE MEAN; KNOWN VARIANCE
11. CONFIDENCE INTERVALS FOR THE MEAN; KNOWN VARIANCE We assume here that the population variance σ 2 is known. This is an unrealistic assumption, but it allows us to give a simplified presentation which
More informationLesson 17: Margin of Error When Estimating a Population Proportion
Margin of Error When Estimating a Population Proportion Classwork In this lesson, you will find and interpret the standard deviation of a simulated distribution for a sample proportion and use this information
More informationConfidence Intervals. Chapter 11
. Chapter 11 Confidence Intervals Topic 22 covers confidence intervals for a proportion and includes a simulation. Topic 23 addresses confidence intervals for a mean. Differences between two proportions
More informationChapter 7. Estimates and Sample Size
Chapter 7. Estimates and Sample Size Chapter Problem: How do we interpret a poll about global warming? Pew Research Center Poll: From what you ve read and heard, is there a solid evidence that the average
More informationMargin of Error When Estimating a Population Proportion
Margin of Error When Estimating a Population Proportion Student Outcomes Students use data from a random sample to estimate a population proportion. Students calculate and interpret margin of error in
More informationConfidence Intervals about a Population Mean
Confidence Intervals about a Population Mean MATH 130, Elements of Statistics I J. Robert Buchanan Department of Mathematics Fall 2015 Motivation Goal: to estimate a population mean µ based on data collected
More information6.2. PERCENT FORMULA MODULE 6. PERCENT
6.2 Percent Formula In this lesson, we will learn 3 types of percent problems, and use 3 methods to solve each type of problems. You can choose your favorite method. It would be great if you can use all
More informationMAT140: Applied Statistical Methods Summary of Calculating Confidence Intervals and Sample Sizes for Estimating Parameters
MAT140: Applied Statistical Methods Summary of Calculating Confidence Intervals and Sample Sizes for Estimating Parameters Inferences about a population parameter can be made using sample statistics for
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 informationPoint and Interval Estimates
Point and Interval Estimates Suppose we want to estimate a parameter, such as p or µ, based on a finite sample of data. There are two main methods: 1. Point estimate: Summarize the sample by a single number
More informationStats for Strategy Exam 1 InClass Practice Questions DIRECTIONS
Stats for Strategy Exam 1 InClass Practice Questions DIRECTIONS Choose the single best answer for each question. Discuss questions with classmates, TAs and Professor Whitten. Raise your hand to check
More informationSTATCRUNCH ESTIMATION 1
STATCRUNCH ESTIMATION 1 example 6.24, page 183 discusses CONFIDENCE intervals... here is that example done in StatCrunch after entering the data in column 1 (and I also renamed the column to temperature),
More informationEstimation of the Mean and Proportion
1 Excel Manual Estimation of the Mean and Proportion Chapter 8 While the spreadsheet setups described in this guide may seem to be getting more complicated, once they are created (and tested!), they will
More informationSTAT 3090 Test 3  Version A Fall 2015
Multiple Choice: (Questions 116) Answer the following questions on the scantron provided using a #2 pencil. Bubble the response that best answers the question. Each multiple choice correct response is
More informationPower and Sample Size Determination
Power and Sample Size Determination Bret Hanlon and Bret Larget Department of Statistics University of Wisconsin Madison November 3 8, 2011 Power 1 / 31 Experimental Design To this point in the semester,
More informationChapter 16: Confidence intervals
Chapter 16: Confidence intervals Objective (1) Learn how to estimate the errormargin in "proportion" type statistics calculated from a random sample. (2) Learn how to construct confidence intervals. Concept
More informationReview #2. Statistics
Review #2 Statistics Find the mean of the given probability distribution. 1) x P(x) 0 0.19 1 0.37 2 0.16 3 0.26 4 0.02 A) 1.64 B) 1.45 C) 1.55 D) 1.74 2) The number of golf balls ordered by customers of
More informationSection 5 3 The Mean and Standard Deviation of a Binomial Distribution
Section 5 3 The Mean and Standard Deviation of a Binomial Distribution Previous sections required that you to find the Mean and Standard Deviation of a Binomial Distribution by using the values from a
More informationCHAPTER 8 ESTIMATION
CHAPTER 8 ESTIMATION CONFIDENCE INTERVALS FOR A POPULATION MEAN (SECTION 8.1 AND 8.2 OF UNDERSTANDABLE STATISTICS) The TI83 Plus and TI84 Plus fully support confidence intervals. To access the confidence
More informationCONFIDENCE INTERVALS FOR MEANS AND PROPORTIONS
LESSON SEVEN CONFIDENCE INTERVALS FOR MEANS AND PROPORTIONS An interval estimate for μ of the form a margin of error would provide the user with a measure of the uncertainty associated with the point estimate.
More informationStatistics Final Exam Review MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Statistics Final Exam Review Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Assume that X has a normal distribution, and find the indicated
More informationRepton Manor Primary School. Maths Targets
Repton Manor Primary School Maths Targets Which target is for my child? Every child at Repton Manor Primary School will have a Maths Target, which they will keep in their Maths Book. The teachers work
More informationNUMBERS, FACTS AND TRENDS SHAPING THE WORLD FOR RELEASE NOVEMBER 3, 2014 FOR FURTHER INFORMATION ON THIS REPORT: Aaron Smith, Senior Researcher
NUMBERS, FACTS AND TRENDS SHAPING THE WORLD FOR RELEASE NOVEMBER 3, 2014 FOR FURTHER INFORMATION ON THIS REPORT: Aaron Smith, Senior Researcher 202.419.4372 RECOMMENDED CITATION: Pew Research Center, November,
More informationMath. Rounding to Tens & Hundreds. Answers. 1) Round to the nearest Hundred ) Round to the nearest Hundred. 829
1) Round to the nearest Hundred. 455 2) Round to the nearest Hundred. 829 3) Round to the nearest Hundred. 7,444 4) Round to the nearest Ten. 23,349 5) Round to the nearest Hundred. 759 6) Round to the
More informationSampling (cont d) and Confidence Intervals Lecture 9 8 March 2006 R. Ryznar
Sampling (cont d) and Confidence Intervals 11.220 Lecture 9 8 March 2006 R. Ryznar Census Surveys Decennial Census Every (over 11 million) household gets the short form and 17% or 1/6 get the long form
More informationBinomial Probability Distribution
Binomial Probability Distribution In a binomial setting, we can compute probabilities of certain outcomes. This used to be done with tables, but with graphing calculator technology, these problems are
More informationMath 251, Review Questions for Test 3 Rough Answers
Math 251, Review Questions for Test 3 Rough Answers 1. (Review of some terminology from Section 7.1) In a state with 459,341 voters, a poll of 2300 voters finds that 45 percent support the Republican candidate,
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 information4. Introduction to Statistics
Statistics for Engineers 41 4. Introduction to Statistics Descriptive Statistics Types of data A variate or random variable is a quantity or attribute whose value may vary from one unit of investigation
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 informationExperimental Design. Power and Sample Size Determination. Proportions. Proportions. Confidence Interval for p. The Binomial Test
Experimental Design Power and Sample Size Determination Bret Hanlon and Bret Larget Department of Statistics University of Wisconsin Madison November 3 8, 2011 To this point in the semester, we have largely
More informationAnswers: a. 87.5325 to 92.4675 b. 87.06 to 92.94
1. The average monthly electric bill of a random sample of 256 residents of a city is $90 with a standard deviation of $24. a. Construct a 90% confidence interval for the mean monthly electric bills of
More information6.1. Construct and Interpret Binomial Distributions. p Study probability distributions. Goal VOCABULARY. Your Notes.
6.1 Georgia Performance Standard(s) MM3D1 Your Notes Construct and Interpret Binomial Distributions Goal p Study probability distributions. VOCABULARY Random variable Discrete random variable Continuous
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 informationCalculate and interpret confidence intervals for one population average and one population proportion.
Chapter 8 Confidence Intervals 8.1 Confidence Intervals 1 8.1.1 Student Learning Objectives By the end of this chapter, the student should be able to: Calculate and interpret confidence intervals for one
More informationAP STATISTICS 2011 SCORING GUIDELINES (Form B)
AP STATISTICS 2011 SCORING GUIDELINES (Form B) Question 5 Intent of Question The primary goals of this question were to assess students ability to (1) identify and check appropriate conditions for inference;
More informationAP STATISTICS TEST #2  REVIEW  Ch. 14 &15 Period:
AP STATISTICS Name TEST #2  REVIEW  Ch. 14 &15 Period: 1) The city council has 6 men and 3 women. If we randomly choose two of them to cochair a committee, what is the probability these chairpersons
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question
Stats: Test Review Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question Provide an appropriate response. ) Given H0: p 0% and Ha: p < 0%, determine
More informationQuick Reference Guide MRIA CODE OF CONDUCT FOR MARKET AND SOCIAL RESEARCH
Quick Reference Guide MRIA CODE OF CONDUCT FOR MARKET AND SOCIAL RESEARCH APPENDIX "L" Polling Standards This document contains the following information: 1. Mandatory disclosures when releasing polling
More informationNALEO Educational Fund/Noticias Telemundo/Latino Decisions Weekly Tracking Poll Week 1: September (N=511; MoE +/4.
1. Thinking ahead to the November 2016 election, what would you say the chances are that you will vote in the election for U.S. President, Congress and other state offices  are you almost certain to vote,
More informationConversions between percents, decimals, and fractions
Click on the links below to jump directly to the relevant section Conversions between percents, decimals and fractions Operations with percents Percentage of a number Percent change Conversions between
More informationStat1600 Midterm #2 Solution to Form A
Stat1600 Midterm #2 Solution to Form A 1. Of 100 adults selected randomly from one town, 64 have health insurance. A researcher wants to construct a 95% confidence interval for the percentage of all adults
More informationNull and Alternative Hypotheses
OpenStaxCNX module m47033 1 Null and Alternative Hypotheses OpenStax College This work is produced by OpenStaxCNX and licensed under the Creative Commons Attribution License 3.0 The actual test begins
More informationSocial Studies 201 Notes for November 19, 2003
1 Social Studies 201 Notes for November 19, 2003 Determining sample size for estimation of a population proportion Section 8.6.2, p. 541. As indicated in the notes for November 17, when sample size is
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 informationMath. Fraction, Decimal & Percent (Visual) Answers. Name: Determine the value written as a fraction, decimal & a percent. Ex) Fraction.
, Decimal & Percent (Visual) ) ) 0. 0%. 0. % ) Decimal 0. Percent 0% Decimal 0. Percent % ) Decimal 0. Percent %... 0. % 0. 0% 0. % 0. %. 0. %. 0. 0% ) Decimal 0. Percent 0% ) Decimal 0. Percent % ) Decimal
More informationEstimates and Sample Sizes
71 Review and Preview 72 Estimating a Population Proportion 73 Estimating a Population Mean: s Known 74 Estimating a Population Mean: s Not Known 75 Estimating a Population Variance Estimates and
More informationEstimating and Finding Confidence Intervals
. Activity 7 Estimating and Finding Confidence Intervals Topic 33 (40) Estimating A Normal Population Mean μ (σ Known) A random sample of size 10 from a population of heights that has a normal distribution
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 informationLess Stress More Success Maths Leaving Cert Higher Level Paper 2
Less Stress More Success Maths Leaving Cert Higher Level Paper 2 Revised pages for Chapter 13 Statistics IV: The Normal Curve, z Scores, Hypothesis Testing and Simulation 228 LESS STRESS MORE SUCCESS
More informationMath Chapter Seven Sample Exam
Math 333  Chapter Seven Sample Exam 1. The cereal boxes coming off an assembly line are each supposed to contain 12 ounces. It is reasonable to assume that the amount of cereal per box has an approximate
More informationThe Math. P (x) = 5! = 1 2 3 4 5 = 120.
The Math Suppose there are n experiments, and the probability that someone gets the right answer on any given experiment is p. So in the first example above, n = 5 and p = 0.2. Let X be the number of correct
More informationSurvey of Michigan Statewide Voters
410 Clarendon East Lansing MI 48823 5174022453 www.dennonoor.com Survey of Michigan Statewide Voters Monday, March 9 through Thursday, March 12, 2009 600 sample, plus/minus 4% Hello, this is from a research
More information5.1 Identifying the Target Parameter
University of California, Davis Department of Statistics Summer Session II Statistics 13 August 20, 2012 Date of latest update: August 20 Lecture 5: Estimation with Confidence intervals 5.1 Identifying
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 informationWhat is rounding? Rounding is deciding which ten, hundred or thousand a number is closest to.
What is rounding? Rounding is deciding which ten, hundred or thousand a number is closest to. 1. Ask yourself What place am I rounding my number to? Nearest Ten? Nearest Hundred? Nearest Thousand? 2. Think
More informationThis formula will be used 7 times in 7 rounds to elect 7 regional MSPs. With me so far...let s go to round 1 Let s take an example of a region
Elections and voting The Additional Member System Hi! Let me explain what it is... The Additional Member System is a form of proportional representation which aims to make the results of an election reflect
More informationAP * Statistics Review
AP * Statistics Review Confidence Intervals Teacher Packet AP* is a trademark of the College Entrance Examination Board. The College Entrance Examination Board was not involved in the production of this
More informationConfidence level. Most common choices are 90%, 95%, or 99%. (α = 10%), (α = 5%), (α = 1%)
Confidence Interval A confidence interval (or interval estimate) is a range (or an interval) of values used to estimate the true value of a population parameter. A confidence interval is sometimes abbreviated
More informationMath 3C Homework 9 Solutions
Math 3C Homewk 9 s Ilhwan Jo and Akemi Kashiwada ilhwanjo@math.ucla.edu, akashiwada@ucla.edu Assignment: Section 1.6 Problems 15, 16, 17a, 18a, 19a, 0a, 36 15. Toss a fair coin 400 times. Use the central
More information1) What is the probability that the random variable has a value greater than 2? A) 0.750 B) 0.625 C) 0.875 D) 0.700
Practice for Chapter 6 & 7 Math 227 This is merely an aid to help you study. The actual exam is not multiple choice nor is it limited to these types of questions. Using the following uniform density curve,
More informationThere are 8000 registered voters in Brownsville, and 3 8. of these voters live in
Politics and the political process affect everyone in some way. In local, state or national elections, registered voters make decisions about who will represent them and make choices about various ballot
More informationSampling Central Limit Theorem Proportions. Outline. 1 Sampling. 2 Central Limit Theorem. 3 Proportions
Outline 1 Sampling 2 Central Limit Theorem 3 Proportions Outline 1 Sampling 2 Central Limit Theorem 3 Proportions Populations and samples When we use statistics, we are trying to find out information about
More informationA Trial Analogy for Statistical. Hypothesis Testing. Legal Trial Begin with claim: Statistical Significance Test Hypotheses (statements)
A Trial Analogy for Statistical Slide 1 Hypothesis Testing Legal Trial Begin with claim: Smith is not guilty If this is rejected, we accept Smith is guilty reasonable doubt Present evidence (facts) Evaluate
More informationConfidence Intervals in Excel
Confidence Intervals in Excel By Mark Harmon Copyright 2011 Mark Harmon No part of this publication may be reproduced or distributed without the express permission of the author. mark@excelmasterseries.com
More informationMATH Chapter 23 April 15 and 17, 2013 page 1 of 8 CHAPTER 23: COMPARING TWO CATEGORICAL VARIABLES THE CHISQUARE TEST
MATH 1342. Chapter 23 April 15 and 17, 2013 page 1 of 8 CHAPTER 23: COMPARING TWO CATEGORICAL VARIABLES THE CHISQUARE TEST Relationships: Categorical Variables Chapter 21: compare proportions of successes
More informationMind on Statistics. Chapter 10
Mind on Statistics Chapter 10 Section 10.1 Questions 1 to 4: Some statistical procedures move from population to sample; some move from sample to population. For each of the following procedures, determine
More informationThe Opinion of Canadians on Access to Health Care
Montreal Economic Institute PanCanadian Survey Report December 2005 The Opinion of Canadians on Access to Health Care December 14, 2005 13026008 507 Place d Armes, suite 700, Montréal (Québec) H2Y 2W8
More informationConstructing and Interpreting Confidence Intervals
Constructing and Interpreting Confidence Intervals Confidence Intervals In this power point, you will learn: Why confidence intervals are important in evaluation research How to interpret a confidence
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 informationFINAL EXAM REVIEW  Fa 13
FINAL EXAM REVIEW  Fa 13 Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate. 1) The temperatures of eight different plastic spheres. 2) The sample
More informationStat1600 Solution to Midterm #2 Form A
Stat1600 Solution to Midterm #2 Form A 1. (10 points) According to the Centers for Disease Control and Prevention, 33.5% U.S. adults have high LDL, or bad, cholestrol. Given a random sample of n=12 U.S.
More informationChanging a Decimal or Fraction to a Percent
6. Changing a Decimal or Fraction to a Percent 6. OBJECTIVES. Change a decimal to a percent. Change a fraction to a percent. Change a mixed number to a percent Changing a decimal to a percent is the opposite
More informationthe number of organisms in the squares of a haemocytometer? the number of goals scored by a football team in a match?
Poisson Random Variables (Rees: 6.8 6.14) Examples: What is the distribution of: the number of organisms in the squares of a haemocytometer? the number of hits on a web site in one hour? the number of
More informationInstructor: Doug Ensley Course: MAT Applied Statistics  Ensley
Student: Date: Instructor: Doug Ensley Course: MAT117 01 Applied Statistics  Ensley Assignment: Online 15  Sections 8.28.3 1. A survey asked the question "What do you think is the ideal number of children
More informationStatistical Inference
Statistical Inference Idea: Estimate parameters of the population distribution using data. How: Use the sampling distribution of sample statistics and methods based on what would happen if we used this
More informationProbability Distributions
CHAPTER 5 Probability Distributions CHAPTER OUTLINE 5.1 Probability Distribution of a Discrete Random Variable 5.2 Mean and Standard Deviation of a Probability Distribution 5.3 The Binomial Distribution
More informationSequences. A sequence is a list of numbers, or a pattern, which obeys a rule.
Sequences A sequence is a list of numbers, or a pattern, which obeys a rule. Each number in a sequence is called a term. ie the fourth term of the sequence 2, 4, 6, 8, 10, 12... is 8, because it is the
More informationHypothesis Testing. Raja Almukkahal Larry Ottman Danielle DeLancey Addie Evans Ellen Lawsky Brenda Meery
Hypothesis Testing Raja Almukkahal Larry Ottman Danielle DeLancey Addie Evans Ellen Lawsky Brenda Meery Say Thanks to the Authors Click http://www.ck12.org/saythanks (No sign in required) To access a customizable
More informationSTT 315 Practice Problems II for Sections
STT 315 Practice Problems II for Sections 4.14.8 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. 1) Classify the following random
More informationLet m denote the margin of error. Then
S:105 Statistical Methods and Computing Sample size for confidence intervals with σ known t Intervals Lecture 13 Mar. 6, 009 Kate Cowles 374 SH, 335077 kcowles@stat.uiowa.edu 1 The margin of error The
More informationGroup Unweighted N Plus or minus Total sample 5,113 2.0 percentage points
METHODOLOGY The NBC News Online Survey was conducted online by SurveyMonkey September 168, 2015 among a national sample of 5,113 adults aged 18 and over. Respondents for this nonprobability survey were
More informationChapter 8 Section 1. Homework A
Chapter 8 Section 1 Homework A 8.7 Can we use the largesample confidence interval? In each of the following circumstances state whether you would use the largesample confidence interval. The variable
More informationSolutions to Homework 8 Statistics 302 Professor Larget
s to Homework 8 Statistics 302 Professor Larget Tetbook Eercises 6.12 Impact of the Population Proportion on SE Compute the standard error for sample proportions from a population with proportions p =
More informationApplications of Trigonometry
chapter 6 Tides on a Florida beach follow a periodic pattern modeled by trigonometric functions. Applications of Trigonometry This chapter focuses on applications of the trigonometry that was introduced
More informationMAT 118 DEPARTMENTAL FINAL EXAMINATION (written part) REVIEW. Ch 13. One problem similar to the problems below will be included in the final
MAT 118 DEPARTMENTAL FINAL EXAMINATION (written part) REVIEW Ch 13 One problem similar to the problems below will be included in the final 1.This table presents the price distribution of shoe styles offered
More information2) The ph level in a shampoo 2) A) Discrete B) Continuous. 3) The number of field goals kicked in a football game 3)
ch5practice test Identify the given random variable as being discrete or continuous. 1) The number of oil spills occurring off the Alaskan coast 1) A) Continuous B) Discrete 2) The ph level in a shampoo
More informationNumber of events classifiable as A Total number of possible events
PROBABILITY EXERCISE For the following probability practice questions, use the following formulas. NOTE: the formulas are in the basic format and may require slight modification to account for subsequent
More informationTHE FIRST SET OF EXAMPLES USE SUMMARY DATA... EXAMPLE 7.2, PAGE 227 DESCRIBES A PROBLEM AND A HYPOTHESIS TEST IS PERFORMED IN EXAMPLE 7.
THERE ARE TWO WAYS TO DO HYPOTHESIS TESTING WITH STATCRUNCH: WITH SUMMARY DATA (AS IN EXAMPLE 7.17, PAGE 236, IN ROSNER); WITH THE ORIGINAL DATA (AS IN EXAMPLE 8.5, PAGE 301 IN ROSNER THAT USES DATA FROM
More information