Please define each of the following terms and provide hypothetical example for each: 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 (É‘), probability of type II error (ÃŸ), 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 the chi squared statistic is used in testing hypothesis? Include underlying assumptions and the test statistic for testing 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?