A Sample of 178 University Students Who Recently Moved Off-Campus

question 4

Short Answer

A sample of 178 university students who recently moved off-campus were polled to see whether they agree that off-campus living is preferable to on-campus living. In addition, each was asked how many people live in their current off-campus residence. The results are summarized in the following contingency table.

$\begin{array} { l c c c } \hline & 1 & 2 & 3 \\\hline \text { Agree } & 36 & 41 & 26 \\\text { No Opinion } & 7 & 7 & 30 \\\text { Disagree } & 2 & 10 & 19 \\\hline\end{array}$

i). Compute the row totals, the column totals, and the grand total.
ii). Construct the corresponding table of expected values.
iii). Compute the value of the chi-square test statistic.
iv). Perform a test for independence, using the $\alpha = 0.01$ level of significance. What do you conclude?

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Definitions:

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Reactionary

A political viewpoint characterized by opposition to progress or change and aiming to return to a previous state or condition.