At the beginning of the Summer 2017 semester a random sample of Penn State students enrolled in online sections of STAT 200 were surveyed and asked for their employment status and primary campus. These data are presented in the contingency table below. [35 points]

Primary Campus

Employment Status

World Campus

Physical Campus

Full Time

27

12

Less Than Full Time

11

34

C. Use the five-step hypothesis testing procedure to determine if the proportion of World Campus students who were working full time is different from the proportion of students from physical campuses who were working full time. If assumptions are met, use the normal approximation method. Do not do any calculations by hand. Use Minitab Express and remember to include all relevant output.

Step 1: Check assumptions and write hypotheses

Step 2: Calculate the test statistic

Step 3: Determine the p-value

Step 4: Decide between the null and alternative hypotheses

Step 5: State a real world conclusion