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 0.29.
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 0.29 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 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 different from 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.

Explanation:

• Type I error is rejecting the null hypothesis when it is actually true.
• Here, the null hypothesis \(H_0:p = 0.29\) (where \(p\) is the proportion of people who write with their left - hand).

Answer:

D. Reject the claim that the proportion of people who write with their left hand is \(0.29\) when the proportion is actually \(0.29\).