(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
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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