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 11.61

26.

Sample 1 Sample 2 Sample 3 Sample 4
Successes 100 200 300 400
Failures 30 70 150 300