The number of men and women among professors in Ma shown in the table below. Dept. Math Physics Chemistry Linguistics English Physics, Chemistry, Linguistics, and English Men 36 64 Women 6 8 33 10 15 17 35 13 eparcments om a SRS of small colleges were counted, and the results are 0.025 Test the claim that the gender ofa professor is independent of the department. Use the significance level a (a) The test statistic is (b) The p-value is (c) Is there sufficient evidence to warrant the rejection of the claim that the gender ofa professor is independent of the department?