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In: Statistics and Probability

In a simple random sample of 1600 young​ people, 86​% had earned a high school diploma....

In a simple random sample of 1600 young​ people, 86​% had earned a high school diploma. Complete parts a through d below. a. What is the standard error for this estimate of the percentage of all young people who earned a high school​ diploma? .0096 nothing ​(Round to four decimal places as​ needed.) b. Find the margin of​ error, using a​ 95% confidence​ level, for estimating the percentage of all young people who earned a high school diploma. nothing​% ​(Round to one decimal place as​ needed.) c. Report the​ 95% confidence interval for the percentage of all young people who earned a high school diploma. left parenthesis nothing % comma nothing % right parenthesis ​(Round to one decimal place as​ needed.) d. Suppose that in the​ past, 80% of all young people earned high school diplomas. Does the confidence interval you found in part c support or refute the claim that the percentage of young people who earn high school diplomas has​ increased? Explain. A. The interval does not support this claim. This is because​ 80% is not in the​ interval, and all values are above​ 80%. B. The interval supports this claim. This is because​ 80% is not in the​ interval, and all values are above​ 80%. C. The interval does not support this claim. This is because​ 80% is in the interval. D. The interval supports this claim. This is because​ 80% is in the interva

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