In a simple random sample of 1100 young people, 89% 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? (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. % (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. (L%. %) (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 eam high school diplomas has increased? Explain. O A. The interval supports this claim. This is because 80% is in the interval. O B. The interval does not support this claim. This is because 80% is not in the interval, and all values are above 80%. OC. The interval supports this claim. This is because 80% is not in the interval, and all values are above 80%. D The intenval does not suunnort this claim This is hecause 80% ie in the intenval

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In a simple random sample of 1100 young​ people, 89% had earned a high school diploma.

 
Complete parts a through d below.
In a simple random sample of 1100 young people, 89% 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?
|(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.
% (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.
(%, %) (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.
O A. The interval supports this claim. This is because 80% is in the interval.
O B. The interval does not support this claim. This is because 80% is not in the interval, and all values are above 80%.
OC. The interval supports this claim. This is because 80% is not in the interval, and all values are above 80%.
O D. The interval does not support this claim. This is because 80% is in the interval.
Transcribed Image Text:In a simple random sample of 1100 young people, 89% 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? |(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. % (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. (%, %) (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. O A. The interval supports this claim. This is because 80% is in the interval. O B. The interval does not support this claim. This is because 80% is not in the interval, and all values are above 80%. OC. The interval supports this claim. This is because 80% is not in the interval, and all values are above 80%. O D. The interval does not support this claim. This is because 80% is in the interval.
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