An educational researcher wishes to know if there is a difference in academic performance for college freshmen that live on campus and those that commute. Data was collected from 220 students. Can we conclude that freshman housing location and academic performance are related? Location Average Below Average Above Average Total
On campus 77 37 41 155
Off campus 28 12 12 52
Total 105 49 53 207
a) Find the value of the test statistic. Round your answer to three decimal places.
b) Make the decision to reject or fail to reject the null hypothesis at the 0.05 level of significance.
c) State the conclusion of the hypothesis test at the 0.05 level of significance.