In: Statistics and Probability
Professor Fair believes that extra time does not improve grades on exams. He randomly divided a group of 300 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. Test at the 0.01 level of significance that time to complete a test and test results are independent.
Time | A | B | C | F | Row Total |
1 h | 23 | 41 | 66 | 13 | 143 |
Unlimited | 18 | 49 | 84 | 6 | 157 |
Column Total | 41 | 90 | 150 | 19 | 300 |
Classify the problem as one of the following: Chi-square test of independence or homogeneity, Chi-square goodness of fit, Chi-square for testing σ2 or σ.
(ii) Find the sample test statistic. (Round your answer to two
decimal places.)