X2 X3 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. X1 33 40 49 (34.96)(43.18)(43.87) 18 23 15 Y2 |(16.04)(19.82)(20.13) Click the icon to view the Chi-Square table of critical values. (a) Compute the value of the chi-square test statistic. xổ = 3.001 (Round to three decimal places as needed.) (b) Test the hypothesis that X and Y are independent at the a= 0.1 level of significance. O A. Ho: The Y category and X category have equal proportions. H1: The proportions are not equal. B. Ho: Hx = Ex H: Hx # Ex or Hy #Ey and Hy = Ey %3D C. Ho: The Y category and X category are dependent. H1: The Y category and X category are independent. D. Ho: The Y category and X category are independent. H1: The Y category and X category are dependent.