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

question 41

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.

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