Hypothesis Testing

4) Professor Fair believes that extra time does not improve grades on exams. He randomly divided a group of 356 students into two groups and gave them all the same test. One group had exactly 1 hour in which to finish the test, and the other group could stay as long as desired. The results are shown in the following table. Time A B C F Row Total 1 hour 31 45 68 21 165 Unlimited 29 56 91 15 191 Column Total 60 101 159 36 356 1) Use a chi-square test to test at the 0.01 level of significance that time to complete a test and test results are independent. Contingency Table