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The following $2 \times 3$ contingency table contains observed frequencies for a sample of $200 .$Test for independence of the row and column variables using the $\chi^{2}$ test with $\alpha=.05$$$ \begin{array}{c}{\text { Row Variable }} \\ {\text { P }} \\ {\text { Q }}\end{array} $$$$ \begin{array}{ccc}{\text { Column Variable }} & {{ } \\ {\text { A }} & {\mathrm{B}} & {\mathrm{C}} \\ {20} & {30} & {\mathrm{C}} \\ {30} & {60} & {20} \\ {10} & {15} & {30}\end{array} $$

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There is sufficient evidence to support the claim that the variables are notindependent.

Intro Stats / AP Statistics

Chapter 11

Comparisons Involving Proportions and a Test of Independence

Descriptive Statistics

Confidence Intervals

The Chi-Square Distribution

Janane J.

July 14, 2021

The following 2 × 3 contingency table contains observed frequencies for a sample of 200. Test for independence of the row and column variable using ?2 test with ? = 0.05. A B C P 20 44 50 Q 30 26 30

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