Does college major depend on gender

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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 the first few steps of a chi-square test of independence are summarized. (The observed values are above the expected values.)

MenWomenColumn TotalArts34.72732.34067Humanities21.82520.21742Sciences14.51913.5928Row Total7166137

 

  • H0: Gender does not affect college major (they are independent).
    Ha: Gender affects college major (they are dependent).
  • α=0.01
  • The test statistic, χ20=7.417.

 

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