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

Question 116

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

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

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

Z1.35p-value 0.0885\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 H0\mathrm { H } _ { 0 }
B) Fail to reject H0\mathrm { H } _ { 0 }
C) Accept H0\mathrm { H } _ { 0 }
D) Accept HA\mathrm { H } _ { \mathrm { A } }

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