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In: Statistics and Probability

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 simple random sample of small colleges were counted, and the results are shown in the table below.

Math Physics Chemistry. Linguistics English

Men 43. 73. 29. 25. 39

Women. 5. 10. 9. 14. 19

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

(a) χ2=

(b) P-value

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Expert Solution

orchestra answered 1 year ago
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