Test Hypotheses about a Population Mean with Known Using Confidence Intervals
-When testing $\mathrm { H } _ { 0 } : \mu = \mu _ { 0 }$, using confidence intervals, if $\mu$ is not contained in the confidence interval then we would
A) reject $\mathrm { H } _ { 0 }$.
B) fail to reject $\mathrm { H } _ { 0 }$.
C) alter the level of confidence to allow $\mu$ to be in the confidence interval.
D) draw no conclusion and gather more sample data.

Question

Quizplus · Accepted Answer

When $\mu$ (the population mean) is not contained within the confidence interval, it suggests that the hypothesized mean $\mu_0$ is not likely to be the true population mean, leading to the rejection of the null hypothesis $\mathrm { H } _ { 0 }$.

Test Hypotheses About a Population Mean with Known Using Confidence H0:μ=μ0\mathrm { H } _ { 0 } : \mu = \mu _ { 0 }H0​:μ=μ0​

Test Hypotheses About a Population Mean with Known Using Confidence $\mathrm { H } _ { 0 } : \mu = \mu _ { 0 }$