You have created a 95% confidence interval for ? with the result 10 $\le$$\mu$ $\le$ 15 .What decision will you make if you test H₀: ? $\neq$16 versus H₁: ? $\neq$ 16 at ? = 0.05? A)^Reject^H0 ^{in favor of}^H1^. B)^{Do not reject}^H0 ^{in favor of}^H1^. C)^{Fail to reject}^H0 ^{in favor of}^H1^. D)We cannot tell what our decision will be from the information given.

Question

Quizplus · Accepted Answer

Since the confidence interval for μ does not include 16, and the null hypothesis is μ=16, we can reject the null hypothesis in favor of the alternative hypothesis at α=0.05. Therefore, we choose Option A, which correctly states to reject the null hypothesis.

You Have Created a 95% Confidence Interval for ? with the Result