Does college major depend on gender? Researchers ask a group of college students about their majors. They also group the students by their gender. The data are recorded in the contingency table below, and a chi-square Test of Independence at the 5% significance level is performed.    Arts   Humanities   Sciences   Row Total  Men  11 5 19 35 Women  11 22 9 42 Column Total  22 27 28 77 (a)  The null and alternative hypotheses are: H0: The two variables are independent, so gender does not affect college major. Ha: The two variables are dependent, so gender does affect college major. (b)  Compute the test statistic, rounded to one decimal place. (Use expected

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
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Does college major depend on gender? Researchers ask a group of college students about their majors. They also group the students by their gender. The data are recorded in the contingency table below, and a chi-square Test of Independence at the 5% significance level is performed.

 

 Arts 

 Humanities 

 Sciences 

 Row Total 

Men 

11

5

19

35

Women 

11

22

9

42

Column Total 

22

27

28

77

(a)  The null and alternative hypotheses are:

  • H0: The two variables are independent, so gender does not affect college major.
  • Ha: The two variables are dependent, so gender does affect college major.


(b)  Compute the test statistic, rounded to one decimal place. (Use expected frequencies that are also rounded to one decimal place.)

 

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