Activity 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:

Contingency Table	Primary Campus
University Park	World Campus
PA resident?	Yes	114	57
No	96	89	89

Activity 1_A:

Construct a 95% confidence interval to estimate the difference between the proportion of all University Park students who are Pennsylvania residents and the proportion of all World Campus students who are Pennsylvania residents. If assumptions are met, use the normal approximation method. Explain how you checked assumptions.

Use Minitab; you should not need hand calculations. Remember to upload all relevant Minitab output and to clearly identify your answers.

Activity 1_B:

Interpret the confidence interval you computed in Activity 1_A by completing the following sentence.

I am 95% confident that...

Activity 1_C:

Use the five-step hypothesis testing procedure given below to determine if there is evidence of a difference between the proportion of University Park students who are Pennsylvania residents and the proportion of World Campus students who are Pennsylvania residents. If assumptions are met, use the normal approximation method. Use Minitab; you should not need hand calculations.

Remember to upload all relevant Minitab output and to clearly identify your answers.

Activity 1_C:

Step 1: Check assumptions and write hypotheses.

Activity 1_C:

Step 2: Calculate the test statistic.

Activity 1_C:

Step 3: Determine the p value.

Activity 1_C:

Step 4: Decide to reject or fail to reject the null.

Activity 1_C:

Step 5: State a "real world" conclusion.