The proportion of dental procedures that are extractions is 0.16. Which of the following exemplifies a type I error in this situation?
A)Reject the claim that the proportion of dental procedures that are extractions is 0.16 when the proportion is actually different from 0.16.
B)Fail to reject the claim that the proportion of dental procedures that are extractions is 0.16 when the proportion is actually 0.16
C)Reject the claim that the proportion of dental procedures that are extractions is 0.16 when the proportion is actually 0.16
D)Fail to reject the claim that the proportion of dental procedures that are extractions is 0.16 when the proportion is actually different from 0.16

Question

The proportion of dental procedures that are extractions is 0.16. Which of the following exemplifies a type I error in this situation? ​​
A)Reject the claim that the proportion of dental procedures that are extractions is 0.16 when the proportion is actually different from 0.16.
B)Fail to reject the claim that the proportion of dental procedures that are extractions is 0.16 when the proportion is actually 0.16
C)Reject the claim that the proportion of dental procedures that are extractions is 0.16 when the proportion is actually 0.16
D)Fail to reject the claim that the proportion of dental procedures that are extractions is 0.16 when the proportion is actually different from 0.16

Quizplus · Accepted Answer

A type I error occurs when the null hypothesis (proportion of dental procedures that are extractions is 0.16) is rejected when it is actually true. Therefore, option C is an example of a type I error as we would be rejecting the claim that the proportion of dental procedures that are extractions is 0.16 when it is actually true.

The Proportion of Dental Procedures That Are Extractions Is 0