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

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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?

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