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

question 94

Multiple Choice

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.