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 15

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
$\begin{array}{l}H_{0}: \text { median }=0 \\H_{A}: \text { median } \neq 0\end{array}$
$\begin{array}{|l|l|l|l|l|l|l|l|}\hline \text { Variable } & \mathrm{n} & \mathrm{n} \text { for tests } & \text { Sample Median } & \text { Below } & \text { Equal } & \text { Above } & \text { P-value } \\\hline \text { Difference } & 36 & 32 &1& 12 & 4 & 20 & 0.2153 \\\hline\end{array}$
-Choose the correct null and alternative hypothesis.

• A) \( \mathrm{H}_{0} \) : The median difference in alertness is 1 . \( \mathrm{H}_{\mathrm{A}} \) : The median difference in alertness is not 1 .
• B) \( \mathrm{H}_{0} \) : The median difference in alertness is not 0 . \( \mathrm{H}_{\mathrm{A}} \) : The median difference in alertness is 0 .
• C) \( \mathrm{H}_{0} \) : The median difference in alertness is 0 . \( \mathrm{H}_{\mathrm{A}} \) : The median difference in alertness is not 0 .
• D) None of these.

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Definitions:

Regression Line

A line that best fits the data points in a scatter plot, showing the relationship between a dependent variable and one or more independent variables.

Coefficient of Determination

A metric that quantifies the proportion of the variance in the dependent variable predictable from the independent variable(s).

Television Game Shows

Competitive entertainment programs on television where participants play games to win prizes.

Regression Line

A straight line that best fits the data points on a scatter plot, used in linear regression to model the relationship between independent and dependent variables.