# Question: In a simple random sample of 1500 young Americans 87

In a simple random sample of 1500 young Americans, 87% had earned a high school diploma.

a. What is the standard error for this estimate of the percentage of all young Americans who earned a high school diploma?

b. Find the margin of error, using a 95% confidence level, for estimating the percentage of all young Americans who earned a high school diploma.

c. Report the 95% confidence interval for the percentage of all young Americans who earned a high school diploma.

d. Suppose that in the past, 80% of all young Americans earned high school diplomas. Does the confidence interval you found in part c support or refute the claim that the percentage of young Americans who earn high school diplomas has increased? Explain.

a. What is the standard error for this estimate of the percentage of all young Americans who earned a high school diploma?

b. Find the margin of error, using a 95% confidence level, for estimating the percentage of all young Americans who earned a high school diploma.

c. Report the 95% confidence interval for the percentage of all young Americans who earned a high school diploma.

d. Suppose that in the past, 80% of all young Americans earned high school diplomas. Does the confidence interval you found in part c support or refute the claim that the percentage of young Americans who earn high school diplomas has increased? Explain.

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