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	50	99	49	33	48
Women	5	5	7	18	27

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. Yes
B. No

Answer 1

(a) The test statistic is χ2= 42.822

(b) The critical value is χ2= 11.143

(c) Is there sufficient evidence to warrant the rejection of the claim that the gender of a professor is independent of the department?

A. Yes