## Related questions with answers

*Perform the following steps.*

**Faculty and Students** The number of faculty and the number of students are shown for a random selection of small colleges. Is there a significant relationship between the two variables? Switch $x$ and $y$ and repeat the process. Which do you think is really the independent variable?

$\begin{array}{l|ccccccc} \text { Faculty } & 99 & 110 & 113 & 116 & 138 & 174 & 220 \\ \hline \text { Students } & 1353 & 1290 & 1091 & 1213 & 1384 & 1283 & 2075 \end{array}$

*c.* State the hypotheses.

Solution

VerifiedHere, we are to state the null and alternative hypotheses that will be used in the hypothesis testing for correlation or association of two variables. In stating these hypotheses, remember that the null should state that variables are independent while the alternative should state that variables are associated.

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