3.3.B—Justify the appropriateness of constructing a confidence interval for a population proportion by verifying…

Justify the appropriateness of constructing a confidence interval for a population proportion by verifying conditions.

• A one-sample z-interval 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 observed number of successes, , and the observed number of failures, 1 , should be at least 10.