The number of men and women among professors in Math, Physics, Chemistry, Linguistics, and English departments of a certain college wer counted, and the results are shown in the table below. Dept. Math Physics Chemistry Linguistics English Men 28 34 15 8 14 Women 3 4 2 4 11 Test the claim that the gender of a professor is independent of the department Use the significance level - 0.035 ~-

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