Given H0: μ ≥ 18 and H1: μ

Question

Given H0: μ ≥ 18 and H1: μ < 18,we would commit a Type I error if we
A)conclude that μ ≥ 18 when the truth is that μ < 18.
B)conclude that μ < 18 when the truth is that μ ≥ 18.
C)fail to reject μ ≥ 18 when the truth is that μ < 18.

Quizplus · Accepted Answer

A Type I error occurs when we reject the null hypothesis (H0: μ ≥ 18) when it is actually true. In this case, the null hypothesis states that the population mean is greater than or equal to 18. Therefore, we would commit a Type I error if we incorrectly conclude that the population mean is less than 18 (i.e. H1: μ < 18) when it is actually greater than or equal to 18. This corresponds to choice B.