Identity the type I error and the type II error that corresponds to the given hy

Question

Identity the type I error and the type II error that corresponds to the given hypothesis The proportion of settled medical malpractice suits is 0.29 Which of the following is a type I error? A. Reject the claim that the proportion of settled malpractice suits is 0.29 when the proportion is actually different from 0.29. B. Fail to reject the claim that the proportion of settled malpractice suits is 0.29 when the proportion is actually different from 0.29. C. Reject the claim that the proportion of settled malpractice suits is 0.29 when the proportion is actually 0.29. D. Fail to reject the claim that the proportion of settled malpractice suits is 0 29 when the proportion is actually 0.29. Which of the following is a type II error? A. Reject the claim that the proportion of settled malpractice suits is 0.29 when the proportion is actually different from 0.29 B. Reject the claim that the proportion of settled malpractice suits is 0.29 when the proportion is actually 0.29

Explanation / Answer

Let us consider the null hypothesis H0.

Now the type I error is given as:

Reject H0 when H0 is true.

The type II error is given as:

Accept H0 when H0 is false.

Here the null hypothesis is given as:

The proportion of settled medical malpractice suits is 0.29.

Thus in line with the definitions provided above:

Type I error is given as:

Reject the claim that the proportion of settled medical malpractice suits is 0.29 when the proportion is actually 0.29. (Option C)

Similarly Type II error is given as:

Fail to reject the claim that the proportion of settled medical malpractice suits is 0.29 when the proportion is actually different from 0.29.(Option C)

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