Chi-Square Test of Independence

Research question: Is there a relationship between primary campus and Pennsylvania state residency in the population of all Penn State undergraduate students?

The following data were collected from a random sample of Penn State students:

Pennsylvania Non-Pennsylvania

University Park 116 86

Commonwealth Campuses 162 42

World Campus 76 92

Use Minitab Express to conduct a chi-square test of independence to address the given research question. Use the five step hypothesis testing procedure outlined below. Remember to copy + paste all relevant Minitab Express output and to clearly identify your answer from the output.

Step 1: State hypotheses and check assumptions.

Step 2: Compute 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.

a.Compute the relative risk of a being a Pennsylvania resident for Commonwealth Campus students compared to World Campus students.Show all work.

b.Interpret the relative risk that you calculated in part b.