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

question 58

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

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Definitions:

Cost Volume Profit Model

A managerial accounting technique used to analyze how costs and sales volume affect profit.

Tax Factor

A numerical figure used to calculate the impact of taxes on an investment or financing decision, often representing the marginal tax rate.

Breakeven Point

The level of production or sales at which total revenues equal total expenses, with no profit or loss.

Sales Proportion

The ratio of a particular product's sales to the total sales of all products, often used to analyze the performance or popularity of products.