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Q72Section III (Statistics)72 of 84

The 2×22\times2 shortcut χ2=N(ad−bc)2/(product of margins)\chi^2=N(ad-bc)^2/(\text{product of margins})

Consider the 2×22\times2 contingency table on two attributes A and B:

A1A2B11020B23040\begin{array}{c|cc} & A_1 & A_2\\\hline B_1 & 10 & 20\\ B_2 & 30 & 40 \end{array}

What is the value of χ2\chi^2 for testing the independence of the attributes A and B?

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