Suppose you have drawn a simple random sample of 300 students from University X

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1.10K viewsFebruary 18, 2019Statistics

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Anonymous 599 January 10, 2019 0 Comments

Suppose you have drawn a simple random sample of 300 students from University X. In this sample, 75 students took AP statistics at high school. Let ? denote the proportion of University X students who took AP statistics in high school. Construct a 95% confidence interval for ?. (Show work)

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score 0 · Answer 1 · 2019-01-10T08:34:19+00:00

The 95% confidence interval for $\pi$ is constructed below,

From the given information, in a sample of 300 students from University X, 75 students took AP statistics at high school and $\pi$ denote the proportion of University X students who taken AP statistics in high school

Instructions to construct 95% confidence interval for $π$ :

1.In EXCEL, Select Add-Ins > MegaStat > Confidence intervals/Sample size.

2.Choose Confidence intervals-p.

3.Enter 0.25 as the p, and 300 as the n.

4.In Confidence Level, Choose 95%

5.Click Preview and then OK.

Follow the above instructions to obtain the following output,

The constructed 95% confidence interval for $π$ is $(0.201, 0.299)$ .