A medical researcher claims that 10 of children suffer from

A medical researcher claims that 10% of children suffer from a certain disorder. Identify the type I error for the test. A) Reject the claim that the percentage of children who suffer from the disorder is different from 10% when that percentage really is different from 10%. B) Fail to reject the claim that the percentage of children who suffer from the disorder is equal to 10% when that percentage is actually different from 10%. C) Fail to reject the claim that the percentage of children who suffer from the disorder is equal to 10% when that percentage is actually 10%. D) Reject the claim that the percentage of children who suffer from the disorder is equal to 10% when that percentage is actually 10%.

Show your work.

Solution

A type I error is incorrectly rejecting a true null hypothesis.

Here, we have

Ho: p = 10%
Ha: p =/= 10%.

Thus, it is

D) Reject the claim that the percentage of children who suffer from the disorder is equal to 10% when that percentage is actually 10%. [ANSWER]