# Type I errors and Type II errors

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9.13 In the U.S. legal system, a defendant is presume innocent until proven guilty. Consider a null hypothesis H o. that the defendant is innocent, and an alternative hypothesis H 1 that the defendant is guilty. A jury has two possible decisions: Convict the defendant(i.e., do not reject the null hypothesis). Explain the meaning of the risks of committing either a Type I or a Type II error in this example.

9.14 Suppose the defendant in problem 9.13 is presumed guilty until proven innocent as in some other judicial systems. How do the null and alternative hypotheses differ from those in 9.13? What are the meanings of the risks of commiting either a Type I or Type II here?

Answer:H o: defendant is guilty, H 1:defendant is innocent. A type I error would be not convicting a guilty person. A type II error would be convicting an innocent person.

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This is a 450 word solution explaining Type I and Type II errors in the context of the U.S. legal system.

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9.13 In the U.S. legal system, a defendant is presumed innocent until proven guilty. Consider a null hypothesis H0: that the defendant is innocent, and an alternative hypothesis H1 that the defendant is guilty. A jury has two possible decisions: Convict the defendant (i.e., do not reject the null hypothesis). Explain the meaning of the risks of committing either a Type I or a Type II error in this example.

It appears that there is an error in your problem as stated. The problem states that if you convict the defendant it means you do not reject the null hypothesis. In fact, it you convict the defendant you do reject the ...

#### Solution Summary

This is a 450 word solution explaining Type I and Type II errors in the context of the U.S. legal system.