Topic 8: Hypothesis Testing - One Sample and t-Table

This chapter introduces students to hypothesis testing including the logic of hypothesis testing, the five-step model of hypothesis testing, choosing critical boundaries and establishing critical areas, and decision making in statistical significance testing.

** Given the complexity of the topic, this chapter typically requires two class periods.

• in-class practice - One Sample Hypothesis Testing

• practice hmwk - One Sample Hypothesis Testing

Objectives Check

1. Explain the logic of hypothesis testing, including concepts of the null hypothesis, the sampling distribution, the alpha level, and the test statistic.

2. Explain what it means to “reject the null hypothesis” or “fail to reject the null hypothesis.”

3. Identify and cite examples of situations in which one-sample tests of hypotheses are appropriate.

4. Test the significance of single-sample means and proportions using the five-step model, and correctly interpret the results.

5. How do we establish critical areas for hypothesis testing?

6. What are the assumptions for a one-sample means test?

7. Explain the difference between one- and two-tailed tests, and specify when each is appropriate.

8. Define and explain Type I and Type II errors, and related each to the selection of an alpha level.

9. What is the relation between alphas and p-values?

10. Use the Student’s t distribution to test the significance of a sample mean for a small sample.