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...

Extracted text: 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. 30 41 45 (30.89) (41.87)(43.24) 15 20 18 Y2 (14.11)(19.13)(19.76) Click the icon to view the Chi-Square table of critical values. (a) Compute the value of the chi-square test statistic. X6 =| (Round to three decimal places as needed.) %D (b) Test the hypothesis that X and Y are independent at the a = 0.05 level of significance. O A. Ho: The Y category and X category are dependent. H,: The Y category and X category are independent. O B. Ho: The Y category and X category are independent. H,: The Y category and X category are dependent. C. Ho: Hx = Ex and Hy = Ey H4: Hy #Ex or Hy # Ey 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 Should the null hypothesis be rejected? O A. Yes, reject Ho. There is not sufficient evidence at the a = 0.05 level of significance to conclude that X and Y are dependent because the P-value < a.="" o="" b.="" no,="" do="" not="" reject="" ho.="" there="" is="" sufficient="" evidence="" at="" the="" a="0.05" level="" of="" significance="" to="" conclude="" that="" x="" and="" y="" are="" dependent="" because="" the="" p-value="">< a.="" o="" c.="" no,="" do="" not="" reject="" ho.="" there="" is="" not="" sufficient="" evidence="" at="" the="" a="0.05" level="" of="" significance="" to="" conclude="" that="" x="" and="" y="" are="" dependent="" because="" the="" p-value=""> a.