Assume that your campus experienced an increase in the numbers of robberies, assaults, and theft. Campus security decides to implement a notification system (students receive a text with the basic info of the incident and are reminded to be aware of their surroundings at all times). You are interested in how these notifications will impact perceived levels of campus safety. With the permission of your dean, you draw a random sample of 30 students and ask them prior to implementation how safe they feel on campus on a scale from 1 to 10 (with 10 representing the highest level of perceived campus safety). Six months after implementation, these 30 students are asked to report their current level of perceived campus safety. You select an alpha level of 0.05. The results of your survey are reported in the table below.
a. State your null and alternative hypotheses (two tailed because you don't know what impact such a system will have).
b. Compute the degrees of freedom.
c. State the decision rule.
d. Compute (for both dependent samples) the sums, means, and standard deviations, differences, and squared differences.
e. Compute t (using formula 6-3).
f. Interpret the t score.
g. Calculate the measure of association with eta squared (η²) using formula 6-5. Interpret your findings.
$Assume that your campus experienced an increase in the numbers of robberies, assaults, and theft. Campus security decides to implement a notification system (students receive a text with the basic info of the incident and are reminded to be aware of their surroundings at all times). You are interested in how these notifications will impact perceived levels of campus safety. With the permission of your dean, you draw a random sample of 30 students and ask them prior to implementation how safe they feel on campus on a scale from 1 to 10 (with 10 representing the highest level of perceived campus safety). Six months after implementation, these 30 students are asked to report their current level of perceived campus safety. You select an alpha level of 0.05. The results of your survey are reported in the table below. a. State your null and alternative hypotheses (two tailed because you don't know what impact such a system will have). b. Compute the degrees of freedom. c. State the decision rule. d. Compute (for both dependent samples) the sums, means, and standard deviations, differences, and squared differences. e. Compute t (using formula 6-3). f. Interpret the t score. g. Calculate the measure of association with eta squared (η<sup>2</sup>) using formula 6-5. Interpret your findings. \begin{array} { | r | r | r | r | r | } \hline 29 & 8 & 8 & & \\ \hline 30 & 7 & 5 & & \\ \hline N = & \Sigma X _ { 1 } = & \Sigma X _ { 2 } = & \Sigma D = & \Sigma D ^ { 2 } = \\ \hline & & & & \\ \hline & \text { mean } x _ { 1 } = & \text { mean } X _ { 2 } = & & \\ \hline & & & & \\ \hline & \mathrm { s } & \mathrm { s } & & \\ \hline & & & & \\ \hline \end{array}$

\begin{array} { | r | r | r | r | r | } \hline 29 & 8 & 8 & & \\\hline 30 & 7 & 5 & & \\\hline N = & \Sigma X _ { 1 } = & \Sigma X _ { 2 } = & \Sigma D = & \Sigma D ^ { 2 } = \\\hline & & & & \\\hline & \text { mean } x _ { 1 } = & \text { mean } X _ { 2 } = & & \\\hline & & & & \\\hline & \mathrm { s } & \mathrm { s } & & \\\hline & & & & \\\hline\end{array}

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