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 a true null hypothesis. In this case, the null hypothesis is μ ≥ 18, and the alternative hypothesis is μ < 18. If we reject the null hypothesis (i.e., conclude that μ < 18) when the true population mean is actually greater than or equal to 18, we would have committed a Type I error. Therefore, the correct choice is B.

Given H0: μ ≥ 18 and H1: μ < 18

Given H₀: μ ≥ 18 and H₁: μ < 18