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Use a ?2 Test to Test the Claim That in the Given

Question 5

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Use a ?2 test to test the claim that in the given contingency table, the row variable and the column variable are independent
-In studying the responses to a multiple-choice test question, the following sample data were obtained. At the 0.05 significance level, test the claim that the responses occur with the same frequency.  Response ABCDE Frequency 1215161819\begin{array} { r | r r r r r } \text { Response } & \mathrm { A } & \mathrm { B } & \mathrm { C } & \mathrm { D } & \mathrm { E } \\\hline \text { Frequency } & 12 & 15 & 16 & 18 & 19\end{array}

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