For Exercises 23–26, test whether or not the proportions of successes are the same for all populations.

  1. State the rejection rule for the p-value method using level of significance , calculate the expected frequencies, and verify that the conditions for performing the test for homogeneity of proportions are met.
  2. Find .
  3. Calculate the p-value.
  4. Compare the p-value with . State the conclusion and the interpretation.

Question 11.59

24.

Sample 1 Sample 2 Sample 3
Successes 100 120 140
Failures 20 25 30