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 45 87 36 21 37 Women 10 7 10 18 22 Test the claim that the gender of a professor is independent of the department. Use the significance level α=0.01 (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

          (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
45
87
36
21
37
Women
10
7
10
18
22
Test the claim that the gender of a professor is independent of
the department. Use the significance level α=0.01
(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

Added by Todd F.

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