We have created a $99 \%$ confidence interval for $\mu$ with the result $( 8,13 )$. What conclusion will we make if we test $H _ { 0 } : \mu = 15$ vs. $H _ { \mathrm { a } } : \mu \neq 15$ at $\alpha = .01$ ?
A) Fail to reject $H _ { 0 }$.
B) Accept $H _ { 0 }$ rather than $H _ { \mathrm { a } }$.
C) Reject $H _ { 0 }$ in favor of $H _ { \mathrm { a } }$.
D) We cannot tell what our decision will be with the information given.

Question

Quizplus · Accepted Answer

Since the value $\mu = 15$ is not within the $99\%$ confidence interval $(8, 13)$, we reject $H_0$ in favor of $H_a$ at the $\alpha = .01$ level of significance.

We Have Created A 99%99 \%99% Confidence Interval For μ\muμ With the Result

We Have Created A $99 \%$ Confidence Interval For $\mu$ With the Result