Question: The number of men and women among professors in Ma shown in the table below. Dept. Math Physics Chemistry Linguistics English Physics, Chemistry, Linguistics,

The number of men and women among professors in Ma shown in

the table below. Dept. Math Physics Chemistry Linguistics English Physics, Chemistry, Linguistics,

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?

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