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Shown Below Is 2 X 3 Contingency Table with Observed

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Shown below is 2 x 3 contingency table with observed values from a sample of 500. At 95% confidence using the critical value approach, test for independence of the row and column factors.
Column Factor
 Row Factor XYZA4050110B60100140\begin{array}{|l|c|c|c|}\hline \text { Row Factor } & \mathrm{X} & \mathrm{Y} & \mathrm{Z} \\\hline \mathrm{A} & 40 & 50 & 110 \\\hline \mathrm{B} & 60 & 100 & 140 \\\hline\end{array}  Row Factor XYZA4050110B60100140\begin{array}{|l|c|c|c|}\hline \text { Row Factor } & \mathrm{X} & \mathrm{Y} & \mathrm{Z} \\\hline \mathrm{A} & 40 & 50 & 110 \\\hline \mathrm{B} & 60 & 100 & 140 \\\hline\end{array}

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χ2 = 4.44 ...

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