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K The table to the right contains observed values and expected values in parentheses for two categorical variables, X and Y, where variable X
K 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 01 level of significance OA. Ho x Ex and y-Ey H Ex of My Ey OB. Ho The Y category and X category have equal proportions H, The proportions are not equal OC. Ho The Y category and X category are dependent H, The Y category and X category are independent OD. Ho The Y category and X category are independent H, The Y category and X category are dependent X X2 X3 31 41 50 Y (33.89)(42.70)(45.41) 19 22 17 Y2 (16.11) (20 30 (21.59) list 4 5 6 n7 n 8 on 9 on 10 K 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 X X2 X3 31 41 50 (33.89)(42.70)(45.41) 19 22 17 Y2 (16.11)(20.30)(21 59) What range of P-values does the test statistic correspond to? The P-value is Should the null hypothesis be rejected? OA. Yes, reject Ho. There is not sufficient evidence at the a 0.1 level of significance to conclude that X and Y are dependent because the P-value> a OB. No, do not reject Ho. There is not sufficient evidence at the a 0.1 level of significance to conclude that X and Y are dependent because the P value a OC. Yes, reject Ho. There is not sufficient evidence at the a 0.1 level of significance to conclude that X and Y are dependent because the P-value
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