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

Question 35

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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 j\mathrm { j } following contingency table.
123 Agree 392729 No Opinion 1557 Disagree 2564\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 α=0.01\alpha = 0.01 level of significance. What do you conclude?


A) Do not reject H0H _ { 0 } . There is insufficient evidence to conclude that the survey responses and the number of roommates are dependent.
B) Reject H0H _ { 0 } . It appears that the survey responses and the number of roommates are dependent.

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