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 areshown in the table below.Dept. Math Physics Chemistry Linguistics EnglishMen60101322544Women 69.1229Test 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 y(b) The critical value is y?%3D(c) Is there sufficient evidence to warrant the rejection of the claim that the gender of a professor is independent of the department?OA. YesОВ. No

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a) It is needed to check, whether the gender of a professor is independent of the department.

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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 60 101 32 25 44 Women 6 12 29 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 y? = (b) The critical value is y? = (c) Is there sufficient evidence to warrant the rejection of the claim that the gender of a professor is independent of the department? OA. Yes OB. No

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 60 101 32 25 44 Women 6 12 29 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 y? = (b) The critical value is y? = (c) Is there sufficient evidence to warrant the rejection of the claim that the gender of a professor is independent of the department? OA. Yes OB. No

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Concept explainers

2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.

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Question

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
60
101
32
25
44
Women 6
9.
12
29
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 y
(b) The critical value is y?
%3D
(c) Is there sufficient evidence to warrant the rejection of the claim that the gender of a professor is independent of the department?
OA. Yes
ОВ. No

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