Question

In a simple random sample of 460 young people, 85% had earned a high school diploma....

In a simple random sample of 460 young people, 85% had earned a high school diploma. Complete the following parts (Round all answers to 2 decimal places.)


a) What is the standard error for this estimate of the percentage of all young people who earned a high school diploma? (as a percentage). Answer: %


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. (as a percentage).

Answer: %


c) Find the 95% confidence interval for the percentage of all young people who earned a high school diploma.

Answer: % to %


d) Suppose that in the past, 80.01% 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.Answer:

a) The interval does not support this claim. This is because 80.01% is in the interval.

b) The interval does not support this claim. This is because 80.01% is not in the interval, and all values are above 80.01%.
c) The interval supports this claim. This is because 80.01% is not in the interval, and all values are above 80.01%.

d)The interval supports this claim. This is because 80.01% is in the interval.


Math   Statistics-And-Probability   
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