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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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 (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
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You are watching a nightly news broadcast on CNN and the reporter says that a 90% confidence interval for the proportion of Americans who supported going to war in Iraq was ( 0.4441 , 0.5034 ). You also note that the footnote says this is based on a random sample performed by Gallup with 762 respondents. What is the correct interpretation of this confidence interval? Question 10 options:
1) We cannot determine the proper interpretation of this interval.
2) We are 90% confident that the proportion of all Americans who supported going to war in Iraq is between 0.4441 and 0.5034.
3) We are 90% confident that of the 762 respondents, between 0.4441 and 0.5034 of them supported the decision to go to war.
4) We are 90% confident that the proportion of all Americans surveyed who supported going to war in Iraq is between 0.4441 and 0.5034.
5) We are certain that 90% of Americans will be between 0.4441 and 0.5034.
You do a study of hypnotherapy to determine how effective it is in increasing the number of hours of sleep subjects get each night. You measure hours of sleep for 12 subjects with the following results:8.2, 9.1 7.7, 8.6, 6.9, 11.2, 10.1, 9.9, 8.9, 9.2, 7.5, 10.5. Construct a 99% confidence interval for the mean number of hours slept for the population (assumed normal) from which you took the data.
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_forwardSuppose we wish to estimate the average number of hours per week that Americans watch TV. Use the following data from an SRS to find a 90% confidence interval: 30 64 49 40 21 58 9 43 39 43arrow_forward
- Answer.arrow_forwardGoogle is studying the quality of results returned by an upgraded version of its search engine. Google randomly selects 100 users of the new engine and records whether they selected the first result. 23 selected the first result. Construct a 90% confidence interval for the fraction of users of the upgraded search engine who will click on the first result. A. (0.161,0.300) B. (0.227,0.233) C. (0.197,0.343) D. (0.383,0.557) E. (0.176,0.284)arrow_forwardListed below are the amounts of net worth (in millions of dollars) of the ten wealthiest celebrities in a country. Construct a 99% confidence interval. 258 218 193 162 160 159 150 150 150 145 2. A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Before treatment, 23 subjects had a mean wake time of 102.0 min. After treatment, the 23 subjects had a mean wake time of 77.3 min and a standard deviation of 20.7 min. Assume that the 23 sample values appear to be from a normally distributed population and construct a 90% confidence interval estimate of the mean wake time for a population with drug treatments. What does the result suggest about the mean wake time of 102.0 min before the treatment? Does the drug appear to be effective? 3. In a certain survey, 511 people chose to respond to this question: "Should passwords be replaced with biometric security (fingerprints, facial recognition, etc.)?" Among the respondents, 52% said…arrow_forward
- In a past presidential election, 37,979,113 people voted for Candidate A 37,758,117 for Candidate B; and 206,521 for third-party candidates. a. What percentage of voters chose Candidate A? b. Would it be appropriate to find a confidence interval of voters choosing Candidate A? Why or why not?arrow_forwardA genetic experiment with peas resulted in one sample of offspring that consisted of 437 green peas and 156 yellow peas. a. Construct a 90% confidence interval to estimate of the percentage of yellow peas. ... It was expected that 25% of the offspring peas would be yellowarrow_forwardThe Vegetarian Resource Group commissioned Harris Poll in 2016 to conduct a nationally representative online poll of 2,015 adults aged 18 and over. They found that 3.3% of the respondents identified as vegetarian. a. Construct and interpret a 95% confidence interval for the proportion of vegetarians. b. Based on the interval what kind of evidence do you expect to have for the alternative two-sided hypothesis test? explain. I do not understand question barrow_forward
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