A Small Private College Is Interested in Determining the Percentage $\begin{array} { l l } \text { Sample Size } & 108 \\ \text { Successes } & 16 \\ \text { Proportion } & 0.14815 \end{array}$

Short Answer

A small private college is interested in determining the percentage of its students who live off campus and drive to class. Specifically, it was desired to determine if less than 20% of their current students live off campus and drive to class. A sample of 108 students was randomly selected and the following printout was obtained: Hypothesis Test - One Proportion
$\begin{array} { l l } \text { Sample Size } & 108 \\ \text { Successes } & 16 \\ \text { Proportion } & 0.14815 \end{array}$

Null Hypothesis: $\quad P = 0.2$
Alternative Hyp: $\quad P < 0.2$

Difference $\quad - 0.05185$
Standard Error $\quad 0.03418$

$\begin{array} { l l l l } \mathrm { Z } & - 1.35 & \mathrm { p } \text {-value } & 0.0885 \end{array}$ Based on the information contained in the printout, what conclusion would be correct when testing at α = 0.05. A) Reject $\mathrm { H } _ { 0 }$
B) Fail to reject $\mathrm { H } _ { 0 }$
C) Accept $\mathrm { H } _ { 0 }$
D) Accept $\mathrm { H } _ { \mathrm { A } }$