The following output from MINITAB presents the results of a hypothesis test for a population mean $\mu$.

Test of $\mathrm { mu } = 59 \mathrm { vs } .$ not $= 59$

$\begin{array}{lrrccrl}
\mathrm{N} & \text { Mean } & \text { StDev } & \text { SE Mean } & 95 \% \mathrm{CI} & \mathrm{T} & \mathrm{P} \
45 & 56.37 & 35.257492 & 5.255877 & (45.777459,66.962541) & -0.500392 & 0.6192
\end{array}$

Do you reject $H _ { 0 }$ at the $\alpha = 0.05$ level of significance?

Question

The following output from MINITAB presents the results of a hypothesis test for a population mean $\mu$.

Test of $\mathrm { mu } = 59 \mathrm { vs } .$ not $= 59$

$\begin{array}{lrrccrl}
\mathrm{N} & \text { Mean } & \text { StDev } & \text { SE Mean } & 95 \% \mathrm{CI} & \mathrm{T} & \mathrm{P} \
45 & 56.37 & 35.257492 & 5.255877 & (45.777459,66.962541) & -0.500392 & 0.6192
\end{array}$

Do you reject $H _ { 0 }$ at the $\alpha = 0.05$ level of significance?

Quizplus · Accepted Answer

The p-value (0.6192) is greater than the significance level ($\alpha = 0.05$), so we do not reject the null hypothesis $H_0$.

The Following Output from MINITAB Presents the Results of a Hypothesis