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 82 104 37 29 35 Women 7 8 6 18 25 Test the claim that the gender of a professor is independent of the department. Use the significance level a = 0.01 (a) The test statistic is x² (b) The critical value is x? (c) Is there sufficient evidence to warrant the rejection of the claim that the gender of a professor is independent of the department? O A. Yes

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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
82
104
37
29
35
Women 7
8
18
25
Test the claim that the gender of a professor is independent of the department. Use the significance level a = 0.01
(a) The test statistic is x?
(b) The critical value is x?
(c) Is there sufficient evidence to warrant the rejection of the claim that the gender of a professor is independent of the
department?
O A. Yes
ОВ. No
Transcribed Image Text: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 82 104 37 29 35 Women 7 8 18 25 Test the claim that the gender of a professor is independent of the department. Use the significance level a = 0.01 (a) The test statistic is x? (b) The critical value is x? (c) Is there sufficient evidence to warrant the rejection of the claim that the gender of a professor is independent of the department? O A. Yes ОВ. No
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