Question

A two-sided test of H0: μ=0, α=0.05 (two sided), yields a p-value of 0.19. Will the 95% confidence interval for μ include 0?

Group of answer choices

No

Unknown

Yes

Answer 1

Answer: Yes

Step-by-step explanation

Rule: if the p-value is smaller than alpha, then we reject the null.

We're given a p-value of 0.19 and alpha = 0.05

Based on that rule, it means we fail to reject the null (i.e. "accept" the null), since the p-value is not smaller than alpha.

Therefore, we conclude that mu = 0 must be the case, which means this value is in the confidence interval.

If mu = 0 was outside the confidence interval, then we would reject the null.