We have created a $99 \%$ confidence interval for $\mu$ with the result $( 10,15 )$. What conclusion will we make if we test $H _ { 0 } : \mu = 17$ vs. $H _ { \mathrm { a } } : \mu \neq 17$ at $\alpha = .01$ ?
A) Reject $H _ { 0 }$ in favor of $H _ { \mathrm { a } }$.
B) Fail to reject $\mathrm { H } _ { 0 }$.
C) Accept $H _ { 0 }$ rather than $H _ { \mathrm { a } }$.
D) We cannot tell what our decision will be with the information given.

Question

Quizplus · Accepted Answer

The confidence interval does not contain the hypothesized mean of 17, so we reject the null hypothesis in favor of the alternative hypothesis.

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