# 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?

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?

## Answer to relevant Questions

Explain in your own words the meaning of each of the following terms. a. Test statistic b. Rejection region c. Nonrejection region d. Critical values e. Significance level a. Rejection region. b. Nonrejection region. c. Critical value(s). d. Significance level. e. Construct a graph similar to that in Fig 9.2 on page 350 that depicts your results from parts (a)–(d). f. Identify the hypothesis ...A right-tailed test with α = 0.01. Determine the critical value(s) for a one-mean z-test. For each exercise, draw a graph that illustrates your answer. Which provides stronger evidence against the null hypothesis, a P-value of 0.06 or a P-value of 0.04? Explain your answer. Right-tailed test: a. z = 1.24 b. z = −0.69 We have given the value obtained for the test statistic, z, in a one-mean z-test. We have also specified whether the test is two tailed, left tailed, or right tailed. Determine ...Post your question

0