Question

(1 point) 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	53	125	49	27	57
Women	10	10	6	14	36

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

Answer 1

The statistic software output for this problem is:

Test statistics is   =  42.920

critical value   =  11.143

Yes