Question

Identify the type I error and the type II error that corresponds to the given hypothesis....

Identify the type I error and the type II error that corresponds to the given hypothesis. The proportion of people who write with their left hand is equal to 0.26

Which of the following is a type I​ error?

A.Fail to reject the claim that the proportion of people who write with their left hand is 0.26 when the proportion is actually 0.26

B.Fail to reject the claim that the proportion of people who write with their left hand is 0.26 when the proportion is actually different from 0.26

C.Reject the claim that the proportion of people who write with their left hand is 0.26 when the proportion is actually 0.26

D.Reject the claim that the proportion of people who write with their left hand is 0.26 when the proportion is actually different from 0.26

Which of the following is a type II​ error?

A.Reject the claim that the proportion of people who write with their left hand is 0.26 when the proportion is actually different from 0.26

B. Fail to reject the claim that the proportion of people who write with their left hand is 0.26 when the proportion is actually different from 0.26

C.Reject the claim that the proportion of people who write with their left hand is 0.26 when the proportion is actually 0.26

D.Fail to reject the claim that the proportion of people who write with their left hand is 0.26 when the proportion is actually 0.26

Solution:

First we write the null and alternative hypothesis

Null H0: p = 0.26

Alternative H1 : p 0.26

Which of the following is a type I​ error?

C.Reject the claim that the proportion of people who write with their left hand is 0.26 when the proportion is actually 0.26

Which of the following is a type II​ error?

B. Fail to reject the claim that the proportion of people who write with their left hand is 0.26 when the proportion is actually different from 0.26.