Given the following contingency table, conduct a test for independence at the 10% significance level. (You may find it useful : reference the appropriate table: chi-square table or F table) Variable A Variable B 1 2 32 39 2 35 51 a. Choose the null and alternative hypotheses. O Hg: The two variables are independent.; HA: The two varlables are dependent. O Hạ The two variables are dependent.; H: The two variables are independent. b. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) Test statistic

Given the following contingency table, conduct a test for independence at the 10% significance level. (You may find it useful : reference the appropriate table: chi-square table or F table) Variable A Variable B 1 2 32 39 2 35 51 a. Choose the null and alternative hypotheses. O Hg: The two variables are independent.; HA: The two varlables are dependent. O Hạ The two variables are dependent.; H: The two variables are independent. b. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) Test statistic

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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