In the Country A legal system, a defendant is presumed innocent until proven guilty. Consider a nullhypothesis, 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., reject the nullhypothesis) or do not convict the defendant (i.e., do not reject the null hypothesis). Explain the meaning of the risks of committing either a Type I or Type II error in this example.

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02-03-2022
Mathematics

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In the Country A legal system, a defendant is presumed innocent until proven guilty. Consider a nullhypothesis, 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., reject the nullhypothesis) or do not convict the defendant (i.e., do not reject the null hypothesis). Explain the meaning of the risks of committing either a Type I or Type II error in this example.

Sagot :

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joaobezerra joaobezerra · Answer 1 · 2022-03-07T04:25:39-05:00

Using error concepts, it is found that in this problem, a type I error would be finding an innocent person guilty, while a type II error would be finding a guilty person innocent.

What are Type I and Type II errors?

Type I: Rejection of a true null hypothesis. The null hypothesis is true, but from a sample, you get enough evidence to reject.

Type II: Non-rejection of a false null hypothesis. The null hypothesis is false, but from a sample, you do not get enough evidence to reject.

Hence:

In this problem, a type I error would be finding an innocent person guilty, while a type II error would be finding a guilty person innocent.

More can be learned about error concepts at https://brainly.com/question/25225353

Sagot :

What are Type I and Type II errors?

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