In the U.S. court system, a defendant is assumed innocent until proven guilty. Suppose that you regard

Question:

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
H0: Defendant is innocent
Ha: Defendant is guilty.
a. Explain the meaning of a Type I error.
b. Explain the meaning of a Type II error.
c. If you were the defendant, would you want α to be large or small? Explain your answer.
d. If you were the prosecuting attorney, would you want β to be large or small? Explain your answer.
e. What are the consequences to the court system if you make α = 0? β = 0?