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

Name: The number of men and women among professors in Math, Physics, Chemis
Uploaded: 2024-03-20T07:07:00.000Z
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Description: 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 EnglishMen

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

Math

Statistics

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