Question

The alternate theory and the null hypothesis are: H0: Equal frequencies exist. H1: There is inequity in the frequencies.

 Category foA10 B20C30\begin{array}{|cc|} \hline \text { Category } & \boldsymbol{f}_{\boldsymbol{o}} \\ \hline \mathrm{A} & 10 \\ \mathrm{~B} & 20 \\ \mathrm{C} & 30 \\ \hline \end{array}

What is your decision regarding H0?

Solution

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Answered 9 months ago
Answered 9 months ago
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Recall that, from part (a), the decision rule was to

 reject H0 if χ2>5.991\text{ reject $H_{0}$ if $\chi^{2}>5.991$}

and the test score we found in part (b) was

χ2=10.0>5.991.\chi^{2}=10.0\,\,>5.991.

The test score belongs to the rejection region, so we reject the null hypothesis. The frequencies are not equal.

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