For Exercises 19–22, test whether or not the proportions of successes are the same for all populations.

  1. State the hypotheses.
  2. Calculate the expected frequencies and verify that the conditions for performing the test for homogeneity of proportions are met.
  3. Find and state the rejection rule. Use level of significance .
  4. Find .
  5. Compare with . State the conclusion and the interpretation.

Question 11.55

20.

Sample 1 Sample 2 Sample 3
Successes 50 50 100
Failures 200 210 425