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  21 5 14 40 Women  9 23 19 51 Column Total  30 28 33 91 (a)  Select the correct null and alternative hypotheses for this test.   Select all that apply:   H0: The distribution of the two populations are the same.     Ha: The distribution of the two populations are the same.      H0: The distribution of the two populations are not the same.      Ha: The distribution of the two populations are not the same.

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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 

21

5

14

40

Women 

9

23

19

51

Column Total 

30

28

33

91

(a)  Select the correct null and alternative hypotheses for this test.
 

Select all that apply:

  •  

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

  •  
  •  

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

  •  
  •  

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

  •  
  •  

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

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