Question

The number of men and women among professors in Math, Physics, Chemistry, Linguistics, and English departments from a SRS of small colleges were counted, and the results are shown in the table below. Dept. Math Physics Chemistry Linguistics English Men 88 102 48 34 55 Women 8 10 5 16 29 Test the claim that the gender of a professor is independent of the department. Use the significance level α=0.025 (a) The test statistic is χ2= (b) The critical value is χ2= (c) Is there sufficient evidence to warrant the rejection of the claim that the gender of a professor is independent of the department? A. No B. Yes

Answer 1