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.MathPhysicsChemistryLinguisticsEnglish
Men5688362436
Women61061420
Test the claim that the gender of a professor is independent of the department. Use the significance level

(a) The test statistic is

(b) The critical value is

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



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