Mathematics Homework Help

I don’t know how to handle this Statistics question and need guidance.

1. 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 hypothesis, type II error in testing hypothesis, probability of type I error (?), probability of type II error (ß), power of the test and its significance, the critical value(s) in a test, p value (significance level).
2. What are the possible outcomes in testing a hypothesis? What are the determinant factors in deciding the critical value(s) in testing a hypothesis?
3. 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? 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?