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.
$\begin{array}{r|cc} & \text { Correct } & \text { Incorrect } \\\hline \text { Math } & 27 & 53 \\\text { English } & 43 & 37\end{array}$

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Definitions:

Carbon Dioxide Emissions

The release of CO2 gas into the atmosphere, primarily from burning fossil fuels, which contributes to global warming and climate change.

Backup Storage

A secondary form of storage used to keep copies of data or files to prevent loss in case of primary storage failure.

High-Temperature Heat

Heat energy characterized by temperatures significantly above normal environmental or operational levels, often used in industrial processes.

Pumped-Storage Hydropower

A type of hydroelectric power system that stores energy by pumping water from a lower elevation reservoir to a higher elevation one and generating electricity as the water flows back down through turbines.