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 67 100 45 23 44 Women 8 Test the claim that the gender of a professor is independent of the department. Use the significance level a = 0.01 7 10 11 15 (a) The test statistic is y? %3D (b) The critical value is y?%3= (c) Is there sufficient evidence to warrant the rejection of the claim that the gender of a professor is independent of the department? OA. No OB. Yes

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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
67
100
45
23
44
Women 8
10
11
15
Test the claim that the gender of a professor is independent of the department. Use the significance level a = 0.01
(a) The test statistic is y
%3D
(b) The critical value is x =
(c) Is there sufficient evidence to warrant the rejection of the claim that the gender of a professor is independent of the department?
O A. No
OB. Yes
Transcribed Image Text: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 67 100 45 23 44 Women 8 10 11 15 Test the claim that the gender of a professor is independent of the department. Use the significance level a = 0.01 (a) The test statistic is y %3D (b) The critical value is x = (c) Is there sufficient evidence to warrant the rejection of the claim that the gender of a professor is independent of the department? O A. No OB. Yes
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