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Does college major depend on gender? Researchers asked a group of college students about their majors. They also group the students by their gender. The

Does college major depend on gender? Researchers asked 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, anda chi-square Test of Independence at the 1%significance level is performed.

Arts Humanities Sciences Row Total
Men 15 34 25 74
Women 33 26 24 83
Column Total 48 60 49 157

The null and alternative hypotheses are:

  • H0: The two variables are independent, so gender does affect college major.
  • Ha: The two variables are dependent, so gender does notaffect college major.

Compute the test statistic, rounded to one decimal place.

Provide your answer below:

test statistic =

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