Question 1169340: Could you PLEASE SHOW me how to solve problem?
Provide an appropriate response.
A criminal trial can be compared to a hypothesis test. The hypotheses are as follows:
Null hypothesis: The defendant is innocent
Alternative hypothesis: The defendant is guilty
Suppose that in one trial, if convicted, the defendant will receive the death penalty. Do you think that a significance level of 0.05 or 0.01 is more appropriate in this case. Why?
Select one:
A.
0.05. It is important to reject the null hypothesis if it is false.
B.
0.01. It is important to reject the null hypothesis if it is false.
C.
0.05. It is important not to reject the null hypothesis if it is true.
D.
0.01. It is important not to reject the null hypothesis if it is true.
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! To reject Ho when it is not true is what we want to do.
To not reject Ho when it is true is what we want to do.
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We don't want to reject Ho in error, say Ho is wrong when it isn't. That is saying someone is guilty when he isn't. Here, that is bad.
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We don't want to accept a false null hypothesis. We don't want to say something is acceptable when it is not.
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So, we would want to be exceptionally certain NOT to kill an innocent person, and a very high significance level is required.
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That is D.
P{reject Ho|Ho true} should be small. Call the defendant guilty when he is innocent should be small.
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