A sample of 157 university students who recently moved off-campus were polled to see u they agree that off-campus living is preferable to on-campus living. In addition, each was how many people live in their current off-campus residence. The results are summarized $\mathrm { j }$ following contingency table.
$\begin{array}{lccc}
\hline & 1 & 2 & 3 \
\hline \text { Agree } & 39 & 27 & 29 \
\text { No Opinion } & 15 & 5 & 7 \
\text { Disagree } & 25 & 6 & 4 \
\hline
\end{array}$

Perform a test for independence, using the $\alpha = 0.01$ level of significance. What do you conclude?
A) Do not reject $H _ { 0 }$. There is insufficient evidence to conclude that the survey responses and the number of roommates are dependent.
B) Reject $H _ { 0 }$. It appears that the survey responses and the number of roommates are dependent.

Question

A sample of 157 university students who recently moved off-campus were polled to see u they agree that off-campus living is preferable to on-campus living. In addition, each was how many people live in their current off-campus residence. The results are summarized $\mathrm { j }$ following contingency table.
$\begin{array}{lccc}
\hline & 1 & 2 & 3 \
\hline \text { Agree } & 39 & 27 & 29 \
\text { No Opinion } & 15 & 5 & 7 \
\text { Disagree } & 25 & 6 & 4 \
\hline
\end{array}$

Perform a test for independence, using the $\alpha = 0.01$ level of significance. What do you conclude?
A) Do not reject $H _ { 0 }$. There is insufficient evidence to conclude that the survey responses and the number of roommates are dependent.
B) Reject $H _ { 0 }$. It appears that the survey responses and the number of roommates are dependent.

Quizplus · Accepted Answer

The chi-square test statistic is 10.26, with 4 degrees of freedom. The critical value for $\alpha = 0.01$ is 13.28. Since the test statistic is less than the critical value, we do not reject $H _ { 0 }$. There is insufficient evidence to conclude that the survey responses and the number of roommates are dependent.

A Sample of 157 University Students Who Recently Moved Off-Campus j\mathrm { j }j

A Sample of 157 University Students Who Recently Moved Off-Campus $\mathrm { j }$