A lower-tailed test of H₀: μ = 45 fails to reject at α = 0.05. Which conclusion is acceptable?

Answer

Insufficient evidence at α = 0.05 that the mean is below 45

Options - A. Insufficient evidence at α = 0.05 that the mean is below 45 - B. The mean days-to-pay is exactly 45 days - C. We accept H₀: the mean days-to-pay is 45 days at the 5 % level - D. There is evidence the mean is above 45 Why - A. Correct — the data did not clear the bar; the sentence names the level, the parameter and the direction. - B. Not rejecting a value is not proving it. - C. "Accept" claims a proof the test never offers; the paper deducts for the word. - D. The test looked only downward; it says nothing about "above".

IBS1 §9.4 (the four wordings), §10.2 (practical significance — note only), CC BY 4.0; BCc ch 5; H-W9 — shape only; original dataset