Describe the type I error and the type II error for a hypothesis tests of the gi

ID: 3260532 • Letter: D

Question

Describe the type I error and the type II error for a hypothesis tests of the given claim.

The proportion of settled medical malpractice suits is 0.22.

Which of the following is a type I error?

A.Fail to reject the claim that the proportion of settled malpractice suits is 0.22 when the proportion is actually different from 0.22.

B.Fail to reject the claim that the proportion of settled malpractice suits is 0.22 when the proportion is actually 0.22.

C.Reject the claim that the proportion of settled malpractice suits is 0.22 when the proportion is actually 0.22.

D.Reject the claim that the proportion of settled malpractice suits is 0.22 when the proportion is actually different from 0.22.

Which of the following is a type II error?

A.Reject the claim that the proportion of settled malpractice suits is 0.22 when the proportion is actually 0.22.

B.Fail to reject the claim that the proportion of settled malpractice suits is 0.22 when the proportion is actually different from 0.22.

C.Reject the claim that the proportion of settled malpractice suits is 0.22 when the proportion is actually different from 0.22.

D.Fail to reject the claim that the proportion of settled malpractice suits is 0.22 when the proportion is actually 0.22.

1) Let Ho (Null Hypothesis) is the proportion of settled medical malpractice suits is 0.22.

We know that Type I error is the probability of reject Ho when Ho is true.

i.e Reject the claim that the proportion of settled malpractice suits is 0.22 when the proportion is actually 0.22.

hence option A is correct.

2) Type II error is the probability of fail to reject Ho when Ho is not true.

i.e Fail to reject the claim that the proportion of settled malpractice suits is 0.22 when the proportion is actually different from 0.22.

Hence option B is correct.

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.