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 0.23.
1. 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 0.29 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. 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.
2. 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

Answer 1

Answer:

Step-by-step explanation:

The type I error occurs when the researchers rejects the null hypothesis when it is actually true.

The type II error occurs when the researchers fails to reject the null hypothesis when it is not true.

Null hypothesis: The proportion of people who write with their left hand is equal to 0.23: p =0.23

Type I error would be: 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

Since 0.29 is assumed to be the alternative claim.

Type II error would be: Reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually 0.29

Still with the assumption that 0.29 is the alternative claim.