Question Set 1: Pennsylvania State Residency by Campus

Researchers are comparing the proportion of Penn State University Park students who are Pennsylvania residents to the proportion of Penn State World Campus students who are Pennsylvania residents. Data from a random sample are presented in the contingency table below:

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	Primary Campus
University Park	World Campus
Pennsylvania Resident?	Yes	94	60
No	86	89

Question Set 1_A:

Check assumptions for a confidence interval for two proportions, we can use the normal approximation if there are at least 10 "successes" (i.e. Yes's) and 10 "failures" (i.e. No's) in each group (UP and WC).

Question Set 1_B:

Use Minitab to construct a 95% confidence interval to estimate the difference between the population proportion of all UP students who are Pennsylvania residents versus the population proportion of all WC campus students who are Pennsylvania residents.

Question Set 1_C:

Interpret the confidence interval you computed in Question Set 1_B by completing the following sentence. I am 95% confident that...

Question Set 1_D:

Conduct the hypothesis test in Minitab to determine if there is a statistical difference in the proportion of PA residents between UP and WC. Separately state the null and alternative hypotheses. The z test statistic, and the p-value from your Minitab results.

Note: Before you insert the image, circle or highlight both the hypotheses (H0 and Ha) and z test statistic in your Minitab results.

Question Set 1_E:

Decide to reject or fail to reject the null hypothesis. Provide reasoning for your decision

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