For Exercises 15–18, test whether or not the variables are independent.

  1. State the hypotheses and the rejection rule for the p-value method, and verify that the conditions for performing the test for independence are met.
  2. Find .
  3. Calculate the p-value.
  4. Compare the p-value with . State the conclusion

Question 11.50

15. Exercise 6, level of significance

11.2.15

(a) : Variable and Variable are independent. : Variable and Variable are dependent. Reject if the -value .

C1 C2 Total
D1 55 95 150
D2 55 95 150
Total 110 190 300

Since none of the expected frequencies is less than 1 and none of the expected frequencies is less than 5, the conditions for performing the test for independence are met. (b) 1.4354 (c) - (d) Since the -value is not , we do not reject . There is insufficient evidence that variable and variable are dependent.