Test of Independence: Opinion on Core Curriculum Change vs. Class Standing A random sample of students is asked their opinion on proposed core curriculum change. The results are as follows. Test the hypothesis that opinion on the change is independent of class standing. Use 0.01 significance level.
Test of Independence: Opinion on Core Curriculum Change vs. Class Standing
A random sample of students is asked their opinion on proposed core curriculum change. The results are as follows. Test the hypothesis that opinion on the change is independent of class standing. Use 0.01 significance level.
$$\begin{array}{|c|c|c|} \hline \text{Class} & \text{Favoring} & \text{Opposing} \ \hline \text{Freshman} & 125 & 80 \ \text{Sophomore} & 60 & 140 \ \text{Junior} & 50 & 60 \ \text{Senior} & 40 & 55 \ \hline \end{array}$$
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Observed frequencies: Class Favoring Opposing --------------------------- Freshman 125 80 Sophomore 60 140 Junior 50 60 Senior 40 55 Significance level: $\alpha = 0.01$ - $H0$: Opinion on the change is independent of class standing. - $H1$: Opinion is not independent of class standing. Class Favo...