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

question 64

Multiple Choice

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

$\begin{array}{ll}\text { Sample Size } & 108 \\\text { Successes } & 16 \\\text { Proportion } & 0.14815\end{array}$


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


$\begin{array}{lccc}\text { Difference } & -0.05185 & & \\\text { Standard Error } & 0.03418 & \\Z & -1.35 & \text { p-value } & 0.0885\end{array}$

Based on the information contained in the printout, what conclusion would be correct when testing at $\alpha = 0.05$ .

• A) Accept \(\mathrm { H } _ { 0 }\)
• B) Fail to reject \(\mathrm { H } _ { 0 }\)
• C) Accept \(\mathrm { H } _ { \mathrm { A } }\)
• D) Reject \(\mathrm { H } _ { 0 }\)

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Definitions:

Adrenaline Loss

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A medical condition characterized by the weakening of bones, making them fragile and more likely to break.

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Physical activities that involve carrying one’s own weight or working against resistance, which can help strengthen bones and muscles.

Calcium

A chemical element essential for living organisms, particularly in cell physiology and skeletal structures, such as bones and teeth.