High School Diplomas (Example 8) 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.
High School Diplomas (Example 8) 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.
Solution Summary: The author calculates the standard error for the estimate of the percentage of all young Americans who earned a high school diploma.
High School Diplomas (Example 8) 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.
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