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 0.19. which of the following is a type i error? ○ a. fail to reject the claim that the proportion of people who write with their left hand is 0.19 when the proportion is actually 0.19. ○ b. reject the claim that the proportion of people who write with their left hand is 0.19 when the proportion is actually 0.19. ○ c. reject the claim that the proportion of people who write with their left hand is 0.19 when the proportion is actually different from 0.19. ○ d. fail to reject the claim that the proportion of people who write with their left hand is 0.19 when the proportion is actually different from 0.19. 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 0.19 when the proportion is actually 0.19. ○ b. fail to reject the claim that the proportion of people who write with their left hand is 0.19 when the proportion is actually different from 0.19. ○ c. fail to reject the claim that the proportion of people who write with their left hand is 0.19 when the proportion is actually 0.19. ○ d. reject the claim that the proportion of people who write with their left hand is 0.19 when the proportion is actually different from 0.19.

Explanation:

• Type I error: It is the rejection of a true null hypothesis. Here, the null hypothesis is that the proportion of people who write with their left - hand is 0.19. So, rejecting this claim when it is actually true (i.e., when the proportion is actually 0.19) is a Type I error.
• Type II error: It is the failure to reject a false null hypothesis. So, failing to reject the claim that the proportion of people who write with their left - hand is 0.19 when the proportion is actually different from 0.19 is a Type II error.

Answer:

• Type I error: B. Reject the claim that the proportion of people who write with their left hand is 0.19 when the proportion is actually 0.19
• Type II error: B. Fail to reject the claim that the proportion of people who write with their left hand is 0.19 when the proportion is actually different from 0.19