Q:

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 0.29.Which of the following is a type I​ error?A. Reject the claim that the proportion of people who write with their left hand is 0.29when the proportion is actually different from 0.29.B. Fail to reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually different from 0.29.C. Reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually 0.29.D. Fail to reject the claim that the proportion of people who write with their left hand 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 people who write with their left hand is 0.29 when the proportion is actually different from 0.29.B. Fail to reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually different from 0.29.C. Fail to reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually 0.29.D. Reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually 0.29

Accepted Solution

A:
Answer:Step-by-step explanation:In Statistics, a  type I error is the rejection of a true null hypothesisand  a type II error is the non-rejection of a false null hypothesis Given that p = 0.29 is acceptedNow type I error isC. Reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually 0.29i.e. (false positive)and type II error here isB. Fail to reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually different from 0.29.