Section 7.1: Overview

1. Answer the question: does a statistical hypothesis make a statement about a sample or a population?
2. State the “Rare Event Rule for Inferential Statistics,” as given in Triola and Triola.

Section 7.2: Basics of Hypothesis Testing

1. Given a claim, identify the null hypothesis and the research / alternative hypothesis, and express both as equalities / inequalities involving the population parameter(s).
2. Given a research hypothesis, identify the corresponding null hypothesis by determining the research hypothesis’s complement, and vice versa.
3. Define the significance level of a hypothesis test.
   
4. Given a test statistic, the sampling distribution of the test statistic, the significance level of the test, and the null and alternative hypotheses, identify the critical region for a hypothesis test.
5. Given a claim and sample data, calculate the value of a relevant test statistic.
6. Determine whether a one-sided or two-sided hypothesis test is appropriate for a given pair of null and research hypotheses. The textbook calls these one-tailed (left-tailed and right-tailed) and two-tailed hypothesis tests.

Section 7.4: Testing a Claim About a Mean: \(\sigma\) Known

1. Specify the requirements necessary for the \(Z\)-based hypothesis test of a population mean to be valid.
2. Given a claim and sample data, determine whether the \(Z\)-based hypothesis test is appropriate to test the claim.
3. Given a claim and sample data, perform a \(Z\)-based hypothesis test for the claim about the population mean.