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Section 9.1: Tests of a Hypothesis Based on a Single Sample
- Define a statistical hypothesis test.
- State what types of quantities are of interest in statistical hypothesis tests.
- Given a claim stated in words, determine a relevant population parameter related to the claim, and write the claim as an equality / inequality in terms of that population parameter.
- Explain what the null and alternative hypotheses correspond to in a hypothesis test.
- Given a claim stated in words, determine whether the claim is a null hypothesis or an alternative hypothesis, and determine the complementary claim.
- Explain the main approach of a hypothesis test as finding evidence either for or against each of the null hypothesis and the alternative hypothesis.
- Define the Type I Error Rate of a hypothesis test.
- Define the significance level (‘level’) of a hypothesis test.
- Relate the Type I Error Rate of a hypothesis test to the confidence level of an interval estimator used to test the hypothesis.
Section 9.2: Tests About a Population Mean
- State and perform the procedure for testing a pair of hypotheses of the form H0:μ=μ0 vs. Ha:μ≠μ0 using a confidence interval.
- State and perform the procedure for testing a pair of hypotheses of the form H0:μ≤μ0 vs. Ha:μ>μ0 using a confidence bound.
- State and perform the procedure for testing a pair of hypotheses of the form H0:μ≥μ0 vs. Ha:μ<μ0 using a confidence bound.
Section 9.3: Tests Concerning a Population Proportion
- State and perform the procedure for testing a pair of hypotheses of the form H0:p=p0 vs. Ha:p≠p0 using a confidence interval.
- State and perform the procedure for testing a pair of hypotheses of the form H0:p≤p0 vs. Ha:p>p0 using a confidence bound.
- State and perform the procedure for testing a pair of hypotheses of the form H0:p≥p0 vs. Ha:p<p0 using a confidence bound.