The following table contains observed values and expected values in parentheses for two categorical variables, X and

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The following table 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:

X3 52 (48.11) 17 (20.89) X2 X1 43 (44.63) 21 (19.37) 34 (36.26) 18 (15.74)

(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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