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 5% significance level is performed. Arts Humanities Sciences Row Total Men 1151935Women 1122942Column Total 22272877(a) The null and alternative hypotheses are:H0: 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.)

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 a chi-square Test of Independence at the 5% significance level is performed.

	Arts	Humanities	Sciences	Row Total
Men	11	5	19	35
Women	11	22	9	42
Column Total	22	27	28	77

(a) The null and alternative hypotheses are:

H0: 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.)

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