3.14.D—Justify the appropriateness of a chi-square test for independence or homogeneity by verifying conditions

Justify the appropriateness of a chi-square test for independence or homogeneity by verifying conditions.

• A chi-square test for homogeneity or independence requires that three conditions must be met:
  • i. The randomization condition—the test of independence states that the data should be collected using a random sample. The test for homogeneity states that the data should be collected using independent random samples or a randomized experiment.
  • ii. The 10% condition—when sampling without replacement, check that n 10%N, where N is the size of the population and n is the sample size. (Note: This condition is unnecessary when the data are from a randomized experiment.)
  • iii. The expected counts condition—all expected counts should be greater than 5. Inference for Categorical Data: Proportions UNIT 3 112