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. Primary Campus University Park World Campus Pennsylvania Yes 62 40 Resident No 54 55 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 Express; you should not need to do any hand calculations, Remember to copy+paste all relevant Minitab Express output and to clearly Identify your answers. [15 points] B. Interpret the confidence interval you computed in part A by completing the following sentence. [5 points] I am 95% confident that.. 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 Express; you should not need to do any hand calculations. Remember to copy+paste all relevant Minitab Express output and to clearly identify your answers. [25 points] Step 1: Check assumptions and write hypotheses Step 2: Calculate the test statistic Step 3: Determine the p-value Step 4: Decide to reject or fail to reject the null hypothesis Step 5: State a real-world conclusion