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Shown Below Is 3 X 2 Contingency Table with Observed

Question 87

Essay

Shown below is 3 x 2 contingency table with observed values from a sample of 1,500. At 95% confidence, test for independence of the row and column factors.
Column Factor
 Row Factor XY Total A450300750B300300600C10050150 Total 8506501500\begin{array}{|c|c|c|c|}\hline \text { Row Factor } & \mathrm{X} & \mathrm{Y} & \text { Total } \\\hline \mathrm{A} & 450 & 300 & 750 \\\hline \mathrm{B} & 300 & 300 & 600 \\\hline \mathrm{C} & 100 & 50 & 150 \\\hline \text { Total } & 850 & 650 & 1500 \\\hline\end{array}  Row Factor XY Total  A 450300750B300300600 C 10050150 Total 8506501500\begin{array}{|c|c|c|c|}\hline \text { Row Factor } & \mathrm{X} & \mathrm{Y} & \text { Total } \\\hline \text { A } & 450 & 300 & 750 \\\hline \mathrm{B} & 300 & 300 & 600 \\\hline \text { C } & 100 & 50 & 150 \\\hline \text { Total } & 850 & 650 & 1500 \\\hline\end{array}

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χ2 = 20.36; p-value ...

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