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 ii 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 different from 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 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:

• Type I error: Rejecting a true null hypothesis.
• Type II error: Failing to reject a false null hypothesis.
• Here, the null hypothesis \(H_0:p = 0.17\) (where \(p\) is the proportion of people who write with their left - hand).
• For a Type II error, we fail to reject \(H_0\) when \(H_0\) is false (i.e., when \(p

eq0.17\)).

Answer:

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 different from 0.17.