Learning Outcome Statements
| 1. Introduction a. define a hypothesis, describe the steps of hypothesis testing, and describe and interpret the choice of the null and alternative hypotheses; | |
| 2. Null Hypothesis and Alternative Hypothesis b. distinguish between one-tailed and two-tailed tests of hypotheses; | |
| 3. Test Statistic and Significance Level c. explain a test statistic, Type I and Type II errors, a significance level, and how significance levels are used in hypothesis testing; | |
| 4. Type I and Type II Errors in Hypothesis Testing c. explain a test statistic, Type I and Type II errors, a significance level, and how significance levels are used in hypothesis testing; | |
| 5. The Power of a Test d. explain a decision rule, the power of a test, and the relation between confidence intervals and hypothesis tests; | |
| 6. The Decision Rule e. distinguish between a statistical result and an economically meaningful result; f. explain and interpret the p-value as it relates to hypothesis testing; | |
| 7. The Relationship between Confidence Intervals and Tests of Significance d. explain a decision rule, the power of a test, and the relation between confidence intervals and hypothesis tests; | |
| 8. Hypothesis Tests Concerning the Mean: T-Test vs. Z-Test g. identify the appropriate test statistic and interpret the results for a hypothesis test concerning the population mean of both large and small samples when the population is normally or approximately distributed and the variance is 1) known or 2) unknown; | |
| 9. Hypothesis Tests Concerning Differences between Means h. identify the appropriate test statistic and interpret the results for a hypothesis test concerning the equality of the population means of two at least approximately normally distributed populations, based on independent random samples with 1) equal or 2) unequal assumed variances; | |
| 10. Hypothesis Tests Concerning Mean Differences (Paired Comparisons Test) i. identify the appropriate test statistic and interpret the results for a hypothesis test concerning the mean difference of two normally distributed populations; | |
| 11. Hypothesis Tests Concerning a Single Variance j. identify the appropriate test statistic and interpret the results for a hypothesis test concerning 1) the variance of a normally distributed population, and 2) the equality of the variances of two normally distributed populations based on two independent random samples; | |
| 12. Hypothesis Tests Concerning Differences between Variances j. identify the appropriate test statistic and interpret the results for a hypothesis test concerning 1) the variance of a normally distributed population, and 2) the equality of the variances of two normally distributed populations based on two independent random samples; | |
| 13. Parametric and Non-Parametric Tests k. distinguish between parametric and nonparametric tests and describe situations in which the use of nonparametric tests may be appropriate. |