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
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
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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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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