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

The table to the right contains observed values and expected values in

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 Y has two categories. Use the table to complete parts (a) and (b) below. Click the icon to view the Chi-Square table of critical values. (a) Compute the value of the chi-square test statistic. x = (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. A. Ho: The Y category and X category have equal proportions. H: The proportions are not equal. OB. HoHxEx and y = Ey H: Hx #Ex or y #Ey C. Ho: The Y category and X category are dependent. H: The Y category and X category are independent. D. Ho: The Y category and X category are independent. H: The Y category and X category are dependent. What range of P-values does the test statistic correspond to? The P-value is Should the null hypothesis be rejected? 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> . B. No, do not reject Ho. There is sufficient evidence at the x = 0.01 level of significance to conclude that X and Y are dependent because the P-value . X X2 X3 33 41 51 (34.09) (44.03) (46.88) 15 21 15 (13.91) (17.97) (19.13)

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