The number of men and women among professors in Math, Physics, Chemistry, Lingui

Question

The number of men and women among professors in Math, Physics, Chemistry, Linguistics, and English departments of a certain college were counted, and the results are shown in the table below. Test the claim that the gender of a professor is independent of the department. Use the significance level alpha = 001 The test statistic is x^2 n= The critical value is x^2 = 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

Explanation / Answer

The statistical software output for this problem is:

Contingency table results:
Rows: var7
Columns: None

Chi-Square test:

Hence,

Test statistic = 0.7799

Critical value = 13.2767

No; Option B

Math Physics Chemistry Linguistics English Total Men 38 41 18 15 22 134 Women 4 5 3 3 3 18 Total 42 46 21 18 25 152

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