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@ Exam 2: Chapters 5-7 - Personal - Microsoft Edge s (] X () https://mylab.pearson.com/Student/PlayerTest.aspx?TestResultld=1057569681&review=yes&questionld=13 A Statistics 2024SP ATW350 - 04/15/24 6:01PM (D Review Test: Exam 2: Chapters57 < Question22,7464 > lestScore:8213%28750f35paints @ close @ Points: 30f3 Question list @ CQuestion 16 @ Question 17 % Question 18 % Question 19 @ Question 20 %, Question 21 @ CQuestion 22 % Question 23 Statcrunch 1< A survey of adults in a certain country found the 61% believed that freedom of news organizations to criticize political leaders is essential to maintaining a strong democracy. Assume the sample size was 500. Complete parts (a) through (f) below. ) e e e e G e gty it ie e em e et ot oot e ti aten i et et st et S e tm ) et eiiote e Gt areate —1 Cqet et No, the sample size is not large enough, since the estimated standard erroris |, which is less than 10. Yes, the sample size is large enough, since the estimated standard erroris , which is greater than or equal to 10. No, the sample size is not large enough, since the expected number of successes is and the expected number of failures is | at least one of which is less than 10. c. Find a 95% confidence interval for the proportion of adults in the country who believe that freedom of news organizations to criticize political leaders is essential to maintaining a strong democracy. The 95% confidence interval is ( .566 , .654 ). (Round to three decimal places as needed.) d. Find the width of the 95% confidence interval. The width of the 95% confidence interval is .088 . (Round to three decimal places as needed.) e. Now assume the sample size was increased to 4500 and the percentage was still 61%. Find a 95% confidence interval and report the width of the interval. The 95% confidence interval is ( .595 | 624 ). (Round to three decimal places as needed.) The width of the 95% confidence interval is .029 . (Round to three decimal places as needed.) f. What happened to the width of the confidence interval when the sample size was increased. Did it increase or decrease? When the sample size is increased the width of the interval decreased. 5:52 PM 1 o @ @' 79°F Sunny &+ 4/15/2024 B
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