Given H₀: μ ≥ 18 and H₁: μ

Question

Given H₀: μ ≥ 18 and H₁: μ < 18,we would commit 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

Type I error occurs when we reject a true null hypothesis. In this case, the null hypothesis is that μ ≥ 18. If we conclude that μ < 18 based on the sample data, we are rejecting the null hypothesis, which is only true if μ < 18. Therefore, if the true value of μ is actually greater than or equal to 18, we have committed a Type I error by rejecting the null hypothesis.

Given H0: μ ≥ 18 and H1: μ < 18,we

Given H₀: μ ≥ 18 and H₁: μ < 18,we