Given $\mathrm { H } _ { 0 } : \mu \leq 12$ for which confidence interval should you reject $\mathrm { H } _ { 0 } ?$
A)(13, 16)
B)(11.5, 12.5)
C)(10, 13)

Question

Quizplus · Accepted Answer

A confidence interval that does not include the null hypothesis value ($\mu \leq 12$) indicates that the null hypothesis can be rejected. Choice A, (13, 16), does not include 12, so it suggests rejecting $\mathrm { H } _ { 0 }$.

Given H0:μ≤12\mathrm { H } _ { 0 } : \mu \leq 12H0​:μ≤12

Given $\mathrm { H } _ { 0 } : \mu \leq 12$