Use the Following Information to Answer the Question $\begin{array}{l}H_{0}: \text { median }=0 \\H_{A}: \text { median } \neq 0\end{array}$

question 18

Multiple Choice

Use the following information to answer the question. Can stretching help you stay alert in class? Thirty-six subjects were
measured for alertness at the beginning of class; the subjects then participated in some light arm and neck stretches followed
by a forty-five minute lecture. Each subject was then measured for alertness at the end of the lecture. The hypothesis test
results for the sign test are summarized below. Assume that all conditions for testing have been met: Hypothesis test results:
Parameter: Median of variable
$\begin{array}{l}H_{0}: \text { median }=0 \\H_{A}: \text { median } \neq 0\end{array}$
$\begin{array}{|l|l|l|l|l|l|l|l|}\hline \text { Variable } & \mathrm{n} & \mathrm{n} \text { for tests } & \text { Sample Median } & \text { Below } & \text { Equal } & \text { Above } & \text { P-value } \\\hline \text { Difference } & 36 & 32 & 1 & 12 & 4 & 20 & 0.2153 \\\hline\end{array}$
-Using a significance level of 5%, state the correct decision regarding the null hypothesis and the concluding statement.

• A) Reject \( \mathrm{H}_{0} \). There is evidence to suggest that there is no difference in alertness after light arm and neck stretches before the lecture.
• B) Reject \( \mathrm{H}_{0} \). There is evidence to suggest that there is difference in alertness after light arm and neck stretches before the lecture.
• C) Fail to reject \( \mathrm{H}_{0} \). There is evidence to suggest that there is no difference in alertness after light arm and neck stretches before the lecture.
• D) Fail to reject \( \mathrm{H}_{0} \). There is evidence to suggest that there is a difference in alertness after light arm and neck stretches before the lecture.