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Use A χ2\chi ^ { 2 } Test to Test the Claim That in the Given Contingency

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Use a χ2\chi ^ { 2 } test to test the claim that in the given contingency table, the row variable and the column variable are independent.
-Responses to a survey question are broken down according to gender and the sample results are given below. At the 0.05 significance level, test the claim that response and gender are independent.  Yes  No  Undecided  Male 255015 Female 203010\begin{array} { r | r r r } & \text { Yes } & \text { No } & \text { Undecided } \\\hline \text { Male } & 25 & 50 & 15 \\\text { Female } & 20 & 30 & 10\end{array}


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