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

Multiple Choice

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.