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

Question 58

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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. 160 students who were majoring in either math or English were asked a test question, and the researcher recorded whether they answered the question correctly. The sample results are given below. At the 0.10 significance level, test the claim that response and major are independent.
 Correct  Incorrect  Math 2753 English 4337\begin{array} { r | c c } & \text { Correct } & \text { Incorrect } \\\hline \text { Math } & 27 & 53 \\\text { English } & 43 & 37\end{array}

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H0: Major and response are independent.
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