(Solved by Humans)-The number of men and women among professors in Math, Physics,

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Academic Level: Undergrad. (yrs 3-4)

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Question

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	96	128	58	34	44
Women	10	10	6	13	38

Test the claim that the gender of a professor is independent of the department. Use thesignificance level ?=0.025

(a) The test statistic is ?

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