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  31   56   44  B  45   22   16  Give all answers rounded to 3 places after the decimal point, if necessary. (a) Enter the expected frequencies below:   X Y Z A       B       (b) What is the chi-square test-statistic for this data?       Test Statistic: χ2=χ2=  (c) What is the critical value for this test of independence when using a significance level of αα = 0.10?       Critical Value: χ2=χ2=   (d) What is the correct conclusion of this hypothesis test at the 0.10 significance level?   There is not sufficient evidence to support independence of the row and column variables. There is sufficient evidence to support independence of the row and column variables. There is sufficient evidence to reject independence of the row and column variables. There is not sufficient evidence to reject independence of the row and column variables.

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