Does college major depend on gender? Researchers ask a group of college students about their majors. They also group the students by their gender. The data are recorded in the contingency table below, and the first few steps of a chi-square test of independence are summarized. (The observed values are above the expected values.) Arts Humanities Sciences Row Total 27 34.7 25 21.8 19 14.5 71 Men 40 32.3 17 20.2 9. 13.5 66 Women Column Total 67 42 28 137 Ho: Gender does not affect college major (they are independent). Ha: Gender affects college major (they are dependent). a = 0.01 The test statistic, xi = 7.417. %3D Determine the critical value using the following portion of the x2-table. X.10 X6.005 df X0.05 X0.025 1 2.706 3.841 5.024 6.635 7.879 2 4.605 5.991 7.378 9.210 10.597 6.251 7.815 9.348 11.345 12.838 4 7.779 9.488 11.143 13.277 14.860 5 9.236 11.070 12.833 15.086 16.750 6 10.645 12.592 14.449 16.812 18.548