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

question 15

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:

Profit Margin

A measure of profitability calculated as net income divided by revenue, or net profits divided by sales.

Interval Measure

Interval measure is a financial metric that assesses a company's ability to meet its current operational expenses by comparing its current assets to its current cash outflows.

Net Fixed Assets

These are a company's total fixed assets minus its accumulated depreciation, representing the actual value of the company’s fixed assets.

Average Daily Operating Costs

The average amount spent by a business on its day-to-day operational activities, divided by the number of days in the period.