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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 58 128 54 33 53 Women 7 6 5 17 39 Test the claim that the gender of a professor is independent of the department. Use the significance level α=0.025 (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?

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 58 128 54 33 53 Women 7 6 5 17 39 Test the claim that the gender of a professor is independent of the department. Use the significance level α=0.025 (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?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 58 128 54 33 53
Women 7 6 5 17 39

Test the claim that the gender of a professor is independent of the department. Use the significance level α=0.025

(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

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