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The table to the right contains observed values and expected values in parentheses for two categorical variables, X and Y, where variable X has three

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The table to the right contains observed values and expected values in parentheses for two categorical variables, X and Y, where variable X has three categories and variable Xy Xz X3 Y has two categories. Use the table to complete parts (a) and (b) below. 34 41 49 (34 52) 44 39 (45.09 15 22 15 (14 48) (18 61) (18.91) Xo = 2.048 (Round to three decimal places as needed.) (b) Test the hypothesis that X and Y are independent at the a = 0.01 level of significance O A. Ho Hy = Ex and Hy = Ey H1 H x * Ex Or Hy # Ey B. Ho: The Y category and X category have equal proportions. H,: The proportions are not equal. &C. Ho: The Y category and X category are independent H, : The Y category and X category are dependent O D. Ho: The Y category and X category are dependent H,: The Y category and X category are independent. What is the P-value? P-value = 0.359 (Round to three decimal places as needed.) Should the null hypothesis be rejected? O A. Yes, reject Ho. There is not sufficient evidence at the a = 0.01 level of significance to conclude that X and Y are dependent because the P.value > at O B. No, do not reject Ho. There is sufficient evidence at the a = 0.01 level of significance to conclude that X and Y are dependent because the P.value a

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