(1 point) The number of men and women among professors in Math, Physics, Chemist

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. 19 19 30 17 Men 50 75 38 Women 5 9 5 Test the claim that the gender of a professor is independent of the department. Use the significance level a = 0.025 (a) The test statistic is = (o) The critical value isx- (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

Explanation / Answer

The statistical software output for this problem is:

Contingency table results:
Rows: Dept.
Columns: None

Chi-Square test:

Hence,

a) Test statistic = 38.6377

b) Critical value = 11.1433

c) Yes

Math Physics Chemistry Linguistic English Total Men 50 75 38 19 30 212 Women 5 9 5 19 17 55 Total 55 84 43 38 47 267

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