3.5.C—Justify the appropriateness of a hypothesis test for a population proportion by verifying conditions

Justify the appropriateness of a hypothesis test for a population proportion by verifying conditions.

• A one-sample z-test for a population proportion requires that three conditions be met:
  • i. The randomization condition—the data should be collected using a random sample.
  • ii. The 10% condition—when sampling without replacement, the population size must be at least 10 times larger than the sample size nN10 , where N is the size of the population and n is the sample size.
  • iii. The normality condition—the expected number of successes, np0 0, and the expected number of failures, n 1 p0 , should be at least 10. Inference for Categorical Data: Proportions UNIT 3 94