Question

You are conducting a test of the claim that the row variable and the column variable are dependent in the following contingency table. X Y Z A 21 46 47 B 15 33 25 Give all answers rounded to 3 places after the decimal point, if necessary. (a) Enter the expected frequencies below: XY To find the expected frequencies: 1. Enter the observed matrix into the calculator, per the Technology Corner. 2. Perform the test, per the Technology Corner. 3. Return to the matrix menu and view the B matrix. This will be the expected frequencies. (b) What is the chi-square test-statistic for this data? Test Statistic: x = (c) What is the critical value for this test of independence when using a significance level of a -0.057 Critical Value: x = (Enter 5.991 as the answer to this question.) @ What is the correct conclusion of this hypothesis test at the 0.05 significance level?

Answer 1

a)

6 Test statistic = x² = 0.9162 (C) critical value x².. sogg15 (from x²_table.) odt I Here x²=0.9162 L x = 5.9915 ... We accept Ho ire. The row variable and column ua siable are not dependenti e, indepen dent.