Using your textbook, LIRN-based research, and your study notes, answer the following questions that deal with confidence interval construction and explain the content in detail, including hypothetical examples and calculations. Important: Be sure to include in-text citations and peer reviewed references in APA format in your discussion post.
- Define each of the following terms:
- Hypothesis testing,
- Null and alternative hypothesis,
- Non-directional and directional hypothesis,
- Type I error in testing hypothesis,
- Type II error in testing 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 hypothesis on a population and testing 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 the z statistic is appropriate to be used in testing a hypothesis?
- When the t statistic is appropriate to be used in testing 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 in testing a hypothesis? Include underlying assumptions and the test statistic for testing a hypothesis 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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