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

question 47

Essay

Use a $\chi ^ { 2 }$ 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.
$\begin{array} { r | c c } & \text { Correct } & \text { Incorrect } \\\hline \text { Math } & 27 & 53 \\\text { English } & 43 & 37\end{array}$

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Definitions:

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A term popularized by a 1968 book predicting widespread famine and disaster as a result of overpopulation.

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The costs associated with acquiring the inputs needed for production, including materials, labor, and capital.

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A severe shortage of food across a large geographic area, leading to widespread hunger and malnutrition.

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The tendency for commonly owned natural resources to be overused, neglected, or degraded because their common ownership gives nobody an incentive to maintain or improve them.