12. In the context of the null and alternative hypothesis, answer the following question using your own text and hand drawn graphs to explain the following. You may combine all answers on one graph as long as it it clear and clearly answers the question.

a. Explain what a Type I error is and how the researcher controls for Type I error. Use text and graphs and be sure to include in your answer explanation for alpha and significance level, and critical value, and how to reduce the likelihood of making a Type I error.

b. Explain what a Type II error is and how the research can reduce the likelihood of making a Type II. Use text and graphsand be sure to include in your answer an explanation of the power of a test and how the researcher can improve the power of the test.

c. Explain why setting an alpha level that decreases the probability of making a Type I error leads to and increase likelihood of making a Type II error. Use text and graphs and then explain how we can reduce the likelihood of making both types of errors.