We have created a 90% confidence interval for μ with the result (25,32).What conclusion will we make if we test H₀: μ = 28 vs.H₁: μ ≠ 28 at α = 0.10? A)Reject H₀ in favor of H₁. B)Accept H₀ in favor of H₁. C)Fail to reject H₀ in favor of H₁. D)We cannot tell from the information given.

Question

Quizplus · Accepted Answer

Since the 90% confidence interval does not contain the hypothesized value of 28, we can conclude that it is plausible that the true value of μ is not equal to 28. However, this conclusion does not necessarily mean that we can reject H₀ in favor of H₁ at α = 0.10. To make such a conclusion, we would need to perform a formal hypothesis test using the given significance level. Since the calculated p-value is not given, we cannot determine if the null hypothesis should be rejected or not. Therefore, the best choice is option C, which states that we fail to reject H₀ in favor of H₁.

We Have Created a 90% Confidence Interval for μ with the Result