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 54 120 41 36 54 Women 8 5 5 12 27 Test the claim that the gender of a professor is independent of the department. Use the significance level α=0.025α=0.025 (a) The test statistic is χ2=χ2=  (b) The critical value is χ2=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. Yes B. No

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