Question

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 0.32. 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 0.32 when the proportion is actually different from 0.32. B. Fail to reject the claim that the proportion of people who write with their left hand is 0.32 when the proportion is actually 0.32. C. Fail to reject the claim that the proportion of people who write with their left hand is 0.32 when the proportion is actually different from 0.32. D. Reject the claim that the proportion of people who write with their left hand is 0.32 when the proportion is actually 0.32.

Answer 1

Type 1 error :

D. Reject the claim that the proportion of people who write with their left hand is 0.32 when the proportion is actually 0.32.

Type 11 error :

C. Fail to reject the claim that the proportion of people who write with their left hand is 0.32 when the proportion is actually different from 0.32.

Explanation:

A type 1 error is committed when a true null rejected. That is an incorrect rejection of a true null. Hence, by rejecting the claim that proportion ofbpop

Type 2 error is made when a false null is adopted. Here, we fail to reject a false null. In the scenario above, type 11 error will be made if we fail to reject the claim that proportion of People who write with their left hand is 0.32, when the proportion is correctly not 0.32