The table in the next column contains observed values and expected values in parentheses

Chapter 12, Problem 4

(choose chapter or problem)

The table in the next column contains observed values and expected values in parentheses for two categorical variables, X and Y, where variable X has three categories and variable Y has two categories. X1 X2 X3 Y1 87 (75.12) 74 (80.43) 34 (39.46) Y2 12 (23.88) 32 (25.57) 18 (12.54) (a) Compute the value of the chi-square test statistic. (b) Test the hypothesis that X and Y are independent at the a = 0.05 level of significance.

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