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 0.17. 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 0.17 when the proportion is actually 0.17. b. fail to reject the claim that the proportion of people who write with their left hand is 0.17 when the proportion is actually 0.17. c. fail to reject the claim that the proportion of people who write with their left hand is 0.17 when the proportion is actually different from 0.17. d. reject the claim that the proportion of people who write with their left hand is 0.17 when the proportion is actually different from 0.17.

Explanation:

A Type I error occurs when we reject a true null hypothesis. In this case, the null hypothesis is that the proportion of people who write with their left - hand is 0.17.

• Option A: Rejecting a true claim (null hypothesis) is a Type I error.
• Option B: Failing to reject a true claim is a correct decision.
• Option C: Failing to reject a false claim is a Type II error.
• Option D: Rejecting a false claim is a correct decision.

Answer:

A. Reject the claim that the proportion of people who write with their left hand is 0.17 when the proportion is actually 0.17.