Statistics: The Art and Science of Learning from Data (4th Edition)
4th Edition
ISBN: 9780321997838
Author: Alan Agresti, Christine A. Franklin, Bernhard Klingenberg
Publisher: PEARSON
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Question
Chapter 8, Problem 77CP
a.
To determine
Check whether given statement is true or false.
b.
To determine
Check whether given statement is true or false.
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The General Social Survey asked 1,578 US residents: “Do you think the use of marijuana should be made legal, or not?” 61% of the respondents said it should be made legal.
a.) Construct a 95% confidence interval for the proportion of US residents who think marijuana should be made legal, and interpret it in the context of the data.
b.) A news piece on this survey’s findings states, “Majority of Americans think marijuana should be legal-ized.” Based on your confidence interval, is this news piece’s statement justified?
57 out of 70 students said they were comfortable with “working in a workplace with a lot of activity,” and 38 out of 71 said they were comfortable with “doing group projects.” Find a 90% confidence interval for the difference between these two proportions.
Suppose that in a recent poll, 550 of the 915 randomly selected U.S. adults agreed with the statement “social media sites like Facebook and Twitter do more to divide the country” (as opposed to unite the country, or neither).
a. Use this information to construct a 90% confidence interval.
Chapter 8 Solutions
Statistics: The Art and Science of Learning from Data (4th Edition)
Ch. 8.1 - Health care A study dealing with health care...Ch. 8.1 - Video on demand A recent study from Nielsen...Ch. 8.1 - Projecting winning candidate News coverage during...Ch. 8.1 - Believe in hell? Using the General Social Survey...Ch. 8.1 - Government spying In 2014, news reports worldwide...Ch. 8.1 - Game apps The Google Play app store for...Ch. 8.1 - Nutrient effect on growth rate Researchers are...Ch. 8.1 - Believe in heaven? When a GSS asked 1326 subjects,...Ch. 8.1 - Feel lonely often? The GSS has asked On how many...Ch. 8.1 - CI for loneliness Refer to the previous exercise....
Ch. 8.2 - Putin A Gallup poll of 2000 Russians taken between...Ch. 8.2 - Flu shot In a clinical study (the same as...Ch. 8.2 - How green are you? When the 2000 GSS asked...Ch. 8.2 - Make industry help environment? When the 2006 GSS...Ch. 8.2 - Favor death penalty In the 2012 General Social...Ch. 8.2 - Oppose death penalty Refer to the previous...Ch. 8.2 - Stem cell research A Harris poll of a random...Ch. 8.2 - z-score and confidence level Which z-score is used...Ch. 8.2 - Believe in ghosts A Harris poll of a random sample...Ch. 8.2 - Stem cell research and religion In Exercise 8.18,...Ch. 8.2 - Fear of breast cancer A recent survey of 1000...Ch. 8.2 - Chicken breast In a 2014 Consumer Reports article...Ch. 8.2 - Same-sex marriage A national survey by the Pew...Ch. 8.2 - Exit poll predictions A national television...Ch. 8.2 - Exit poll with smaller sample In the previous...Ch. 8.2 - Simulating confidence intervals Repeat the...Ch. 8.2 - Simulating confidence intervals with poor coverage...Ch. 8.3 - Females ideal number of children The 2012 General...Ch. 8.3 - Males ideal number of children Refer to the...Ch. 8.3 - Using t-table Using Table B, the web app, software...Ch. 8.3 - Anorexia in teenage girls A study6 compared...Ch. 8.3 - Talk time on smartphones One feature smartphone...Ch. 8.3 - Heights of seedlings Exercise 8.7 reported heights...Ch. 8.3 - Buy it now Example 6 mentioned closing prices for...Ch. 8.3 - Time spent on e-mail When the GSS asked n = 1050...Ch. 8.3 - Grandmas using e-mail For the question about...Ch. 8.3 - Prob. 38PBCh. 8.3 - Prob. 39PBCh. 8.3 - Political views The General Social Survey asks...Ch. 8.3 - Prob. 41PBCh. 8.3 - Prob. 42PBCh. 8.3 - Effect of confidence level Find the margin of...Ch. 8.3 - Prob. 44PBCh. 8.3 - Number of children For the question, How many...Ch. 8.3 - Prob. 46PBCh. 8.4 - South Africa study The researcher planning the...Ch. 8.4 - Binge drinkers A study at the Harvard School of...Ch. 8.4 - Prob. 49PBCh. 8.4 - Prob. 50PBCh. 8.4 - Prob. 51PBCh. 8.4 - Farm size An estimate is needed of the mean...Ch. 8.4 - Prob. 53PBCh. 8.4 - Prob. 54PBCh. 8.4 - Prob. 55PBCh. 8.4 - Prob. 56PBCh. 8.4 - Prob. 57PBCh. 8.4 - Prob. 58PBCh. 8.5 - Why bootstrap? Explain the purpose of using the...Ch. 8.5 - Estimating variability Refer to Example 11 about...Ch. 8.5 - Bootstrap interval for the mean In 2014, the...Ch. 8.5 - Prob. 62PBCh. 8 - Unemployed college grads The U.S Bureau of the...Ch. 8 - Prob. 64CPCh. 8 - Prob. 65CPCh. 8 - Born again A poll of a random sample of n = 2000...Ch. 8 - Life after death The variable POSTLIFE in the 2012...Ch. 8 - Prob. 68CPCh. 8 - Prob. 69CPCh. 8 - Prob. 70CPCh. 8 - Prob. 71CPCh. 8 - Wife supporting husband Consider the statement...Ch. 8 - Legalize marijuana? The General Social Survey has...Ch. 8 - Prob. 74CPCh. 8 - Streaming A Harris Poll of 2300 U.S. adults...Ch. 8 - Prob. 76CPCh. 8 - Prob. 77CPCh. 8 - Grandpas using e-mail When the GSS asked in 2012,...Ch. 8 - Prob. 79CPCh. 8 - Prob. 80CPCh. 8 - Fuel efficiency The government website...Ch. 8 - Prob. 82CPCh. 8 - Prob. 83CPCh. 8 - Prob. 84CPCh. 8 - Prob. 85CPCh. 8 - Prob. 86CPCh. 8 - Prob. 87CPCh. 8 - Revisiting mountain bikes Use the Mountain Bike...Ch. 8 - Prob. 89CPCh. 8 - Prob. 90CPCh. 8 - Prob. 91CPCh. 8 - Prob. 92CPCh. 8 - Working mother In response to the statement on a...Ch. 8 - Miami spring break For a trip to Miami, Florida,...Ch. 8 - Prob. 95CPCh. 8 - Prob. 96CPCh. 8 - Prob. 97CPCh. 8 - Prob. 98CPCh. 8 - Prob. 99CPCh. 8 - Prob. 100CPCh. 8 - Kicking accuracy A football coach decides to...Ch. 8 - Prob. 103CPCh. 8 - Prob. 104CPCh. 8 - Prob. 106CPCh. 8 - Width of a confidence interval Why are confidence...Ch. 8 - Prob. 108CPCh. 8 - Prob. 109CPCh. 8 - Prob. 110CPCh. 8 - Prob. 111CPCh. 8 - Prob. 112CPCh. 8 - Prob. 113CPCh. 8 - Prob. 114CPCh. 8 - Prob. 115CPCh. 8 - Prob. 116CPCh. 8 - Prob. 117CPCh. 8 - Prob. 118CPCh. 8 - Prob. 119CPCh. 8 - Prob. 120CPCh. 8 - Prob. 121CPCh. 8 - Prob. 122CPCh. 8 - Prob. 123CPCh. 8 - Why called degrees of freedom? You know the sample...Ch. 8 - Prob. 125CPCh. 8 - Prob. 126CPCh. 8 - Median as point estimate When the population...
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- List the sample space of each experiment. Tossing three coinsarrow_forwardWhat is a sample space?arrow_forwardThe General Social Survey (GSS) is a survey administered to a random sample of adult Americans by the National Opinion Research Center (NORC) at the University of Chicago. One question on this survey was, "Taken all together, how would you say things are these days-would you say that you are very happy, pretty happy, or not too happy?" Of the 2500 respondents, 725 responded that they were "very happy." Construct and interpret a 95% confidence interval for the corresponding population parameter. Use the 4-step process 3 d C Show Your Work 0 de in 5 t g y h ∞ 7 u Sign out 4 Feb 23 Parrow_forward
- The second annual Airplane Etiquette Study commissioned by Expedia asked 1000 Americans to rank the most annoying on-board behaviors of fellow passengers. Rear seat kickers topped the list with 67% of those surveyed ranking this annoying behavior as number one. You create a 99% confidence interval and find the population proportion to be within 0.038 of 0.67, or between (0.632, 0.708). Which of the following statements gives a valid interpretation of this interval? There is a 67% chance that between 63.2% and 70.8% of all Americans would rank rear seat kickers as the most annoying on-board behavior of fellow passengers. There is a 99% chance that between 63.2% and 70.8% of all Americans would rank rear seat kickers as the most annoying on-board behavior of fellow passengers. You are 99% confident that between 63.2% and 70.8% of the 1000 sampled passengers ranked rear seat kickers as the most annoying on-board behavior of fellow passengers. You are 99% confident that between 63.2% and…arrow_forwardConstruct a 95% confidence interval for p1 - p2 for a survey that finds 30% of 240 males and 41% of 200 females are opposed to the death penalty. Group of answer choices a.(-0.200, -0.021) b.(-1.532, 1.342) c.(-1.324, 1.512) d.(-0.561, 0.651)arrow_forwardA poll asked college students in 2016 and again in 2017 whether they believed the First Amendment guarantee of freedom of the press was secure or threatened in the country today. In 2016, 2087 of 3103 students surveyed said that freedom of the press was secure or very secure. In 2017, 1930 of 2988 students surveyed felt this way. b. Use the sample data to construct a 95% confidence interval for the difference in the proportions of college students in 2016 and 2017 who felt freedom of religion was secure or very secure. How does your confidence interval support your hypothesis test conclusion?arrow_forward
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