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 X1 X2 X3 Y has two categories. Use the table to complete parts (a) and (b) below. 30 45 53 (33 39) (45.22) (49.39) 18 20 18 (14 61) (19.78) (21.61) Click the icon to view the Chi-Square table of critical values. (a) Compute the value of the chi-square test statistic. Xo = 2.001 (Round to three decimal places as needed.) (b) Test the hypothesis that X and Y are independent at the a = 0.05 level of significance. A. Ho: The Y category and X category are independent. H,: The Y category and X category are dependent. O B. Ho: The Y category and X category are dependent. H, The Y category and X category are independent. O C. Ho Hx = Ex and My = Ey H 1 : Hx * Ex or Hy * Ey O D. Ho The Y category and X category have equal proportions. H,: The proportions are not equal. What range of P-values does the test statistic correspond to? The P-value is between .05 and .10