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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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