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The number of men and women among professors in Math, Physics, Chemistry, Linguistics, and English departments...

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 16 . 36 12 10 14

Women 2 . 5 . 4 . 2 . 8

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

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Expert Solution

milcah answered 1 year ago
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