In the U.S. court system, a defendant is assumed innocent until proven guilty. Suppose that you regard a court trial as a hypothesis test with null and alternative hypotheses:

1. Explain the meaning of a type I error.

2. Explain the meaning of a Type II error

3. If you were the defendant, would you want α to be large or small? Explain your answer.

4. If you were the prosecuting attorney, would you want β to be large or small? Explain your answer.

5. What are the consequences to the court system if you make α= 0? Β=0