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.MathPhysicsChemistryLinguisticsEnglishMen93120561957Women9561022Test 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. NoB. Yes

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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 are shown in the table below.Dept.MathPhysicsChemistryLinguisticsEnglishMen93120

(a) The claim of the test is that the gender of a professor is independent of the department. The…

Answered: (a) The test statistic is χ2=…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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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	93	120	56	19	57
Women	9	5	6	10	22

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. No
B. Yes

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(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. No B. Yes

(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. No B. Yes