Identify the type I error and the type II error that corresponds to the given hypothesis. The proportion of settled medical malpractice suits is 0.260.26. Which of the following is a type I​ error? A. Fail to reject the claim that the proportion of settled malpractice suits is 0.260.26 when the proportion is actually 0.260.26. B. Reject the claim that the proportion of settled malpractice suits is 0.260.26 when the proportion is actually 0.260.26. This is the correct answer.C. Fail to reject the claim that the proportion of settled malpractice suits is 0.260.26 when the proportion is actually different from 0.260.26. Your answer is not correct.D. Reject the claim that the proportion of settled malpractice suits is 0.260.26 when the proportion is actually different from 0.260.26. Which of the following is a type II​ error? A. Reject the claim that the proportion of settled malpractice suits is 0.260.26 when the proportion is actually 0.260.26. B. Fail to reject the claim that the proportion of settled malpractice suits is 0.260.26 when the proportion is actually 0.260.26. C. Fail to reject the claim that the proportion of settled malpractice suits is 0.260.26 when the proportion is actually different from 0.260.26. D. Reject the claim that the proportion of settled malpractice suits is 0.260.26 when the proportion is actually different from 0.260.26.

Respuesta :

Answer:

1.    

Option B) Reject the claim that the proportion of settled malpractice suits is 0.26 when the proportion is actually 0.26

2.

Option C) Fail to reject the claim that the proportion of settled malpractice suits is 0.26 when the proportion is actually different from 0.26      

Step-by-step explanation:

We are given the following claim:

Claim: The proportion of settled medical malpractice suits is 0.26

Thus, we can design the null hypothesis as

[tex]H_{0}: p = 0.26[/tex]

Type I error:

It is the error made when we reject the null hypothesis given it is true.

Thus, the type I error with respect to given claim would be

Option B) Reject the claim that the proportion of settled malpractice suits is 0.26 when the proportion is actually 0.26

Type II error:

It is defined as the error made when we fail to reject the null hypothesis given it is not true.

Thus, the type II error with respect to given claim would be

Option C) Fail to reject the claim that the proportion of settled malpractice suits is 0.26 when the proportion is actually different from 0.26