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,...

Extracted text: 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 a chi-square Test of Independence at the 1% significance level is performed. Arts Humanities Sciences Row Total Men 16 6. 20 42 Women 20 16 44 Column Total 24 26 36 86 (a) The null and alternative hypotheses are: • Ho: The two variables are independent, so gender does not affect college major. • Ha: The two variables are dependent, so gender does affect college major. (b) Compute the test statistic, rounded to one decimal place. (Use expected frequencies that are also rounded to one decimal place.) Provide your answer below: test statistic