o men and women have similar college majors? Researchers ask a group of college students about their majors. They also group the students by their gender. They want to determine if the distribution of college majors is the same for men and women. The data are recorded in the contingency table below, and a chi-square Homogeneity Test at the 1% significance level is performed. Arts Humanities Sciences Row Total Men 5 9 17 31 Women 20 20 6 46 Column Total 25 29 23 77 Select the correct null and alternative hypotheses for this test. Select all that apply: H0: The distribution of the two populations are not the same. H0: The distribution of the two populations are the same. Ha: The distribution of the two populations are not the same. Ha: The distribution of the two populations are the same.

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Author:Amos Gilat
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Do men and women have similar college majors? Researchers ask a group of college students about their majors. They also group the students by their gender. They want to determine if the distribution of college majors is the same for men and women. The data are recorded in the contingency table below, and a chi-square Homogeneity Test at the 1% significance level is performed.

 

 Arts 

 Humanities 

 Sciences 

 Row Total 

Men 

5

9

17

31

Women 

20

20

6

46

Column Total 

25

29

23

77

Select the correct null and alternative hypotheses for this test.

 

Select all that apply:

H0: The distribution of the two populations are not the same.

H0: The distribution of the two populations are the same.

Ha: The distribution of the two populations are not the same.

Ha: The distribution of the two populations are the same.

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