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. A chi-square Homogeneity Test at the 1% significance level is performed.  (a)  The null and alternative hypotheses are: H0: The distribution of the two populations are the same. Ha: The distribution of the two populations are not the same. (b)  χ20=16.0 (c)  χ20.01=9.210   (d)  What conclusions can be made? Select all that apply.   Select all that apply:   We should reject H0.     We should not reject H0.     At the 1% significance level, there is sufficient evidence to conclude that the distributions of the two populations are not the same.     At the 1% significance level, there is not sufficient evidence to conclude that the distributions of the two populations are not the same.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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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. A chi-square Homogeneity Test at the 1% significance level is performed. 

(a)  The null and alternative hypotheses are:

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

(b)  χ20=16.0

(c)  χ20.01=9.210

 

(d)  What conclusions can be made? Select all that apply.
 

Select all that apply:

  •  

    We should reject H0.

  •  
  •  

    We should not reject H0.

  •  
  •  

    At the 1% significance level, there is sufficient evidence to conclude that the distributions of the two populations are not the same.

  •  
  •  

    At the 1% significance level, there is not sufficient evidence to conclude that the distributions of the two populations are not the same.

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