Section 8.2: Inferences About Two Proportions

  1. State scientific or medical claims that could be tested using a hypothesis test for the difference in two population proportions.
  2. Given a claim about two population proportions, determine the appropriate null and alternative hypotheses for testing that claim.
  3. Distinguish between when a right-tailed, left-tailed, or two-tailed test is appropriate for testing a claim about two population proportions.
  4. State when the normal approximation-based hypothesis test for the difference between two population proportions is appropriate.
  5. Given a ‘word problem’ about two population proportions and their sample estimates, identify the number of ‘successes’ in each sample, and the number of ‘trials’ in each sample.
  6. You do not need to memorize the test statistic for a hypothesis test for the difference between two population proportions.
  7. Use Minitab to perform a hypothesis test for the difference between two population proportions.
  8. Interpret a printout from Minitab’s Two-Sample Proportion procedure, and use such a printout to test a claim about the difference between two population proportions.
  9. Given a printout from Minitab’s Two-Sample Proportion procedure, determine the appropriate \(Z\) statistic from the \(P\)-value and vice versa.