Hypothesis Test Sample Topic Assignment
TASK1:
Answer the following with examples. Include peer-reviewed references.
Topics:
Chapter 9: “Hypothesis Test”
Chapter 10: “Inference about Means and Proportions with Two Populations”
Chapter 11: “Inference About Population Variances”
- Please define each of the following terms and provide a hypothetical example for each: hypothesis testing, null and alternative hypothesis, non-directional and directional hypothesis, type I error in testing a hypothesis, type II error in testing a hypothesis, probability of type I error (ɑ), probability of type II error (ß), power of the test and its significance, the critical value(s) in a test, p value (significance level).
- What is the difference between testing a hypothesis on a population and testing a hypothesis when comparing two populations? Provide hypothetical examples.
- What are the possible outcomes in testing a hypothesis?
- What are the determinant factors in deciding the critical value(s) in testing a hypothesis?
- When is it appropriate to use the z statistic to test a hypothesis?
- When is it appropriate to use the t statistic to test a hypothesis?
- For each case, include the underlying assumptions, and the test statistic, for both testing a hypothesis on the mean of population, and testing hypothesis in comparing the value of the mean in a population with the value of the mean in another population.
- What is the criterion for rejecting the null hypothesis for both non-directional and directional tests?
- How do you find the p value in each case?
- Do not forget to discuss cases that involve proportion(s).
- When is the chi squared statistic used to test hypotheses? Include underlying assumptions and the test statistic for testing hypotheses on a single population.
- What is the criterion for rejecting the null hypothesis for both non-directional and directional tests?
- How do you find the p value in each case?
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