Use A $X^2$ Test to Test the Claim That in the Given Contingency

question 14

Essay

Use a $X^2$ 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:

Declining Balance

Declining balance is a method of accelerated depreciation in which an asset's book value is reduced at a faster rate in the early years of its life.

Straight-Line

A method of calculating depreciation of an asset where the asset's cost is evenly spread over its useful life.

Depreciation

The systematic allocation of the cost of a tangible asset over its useful life, reflecting the decrease in value over time.

Securities and Exchange Act

A U.S. law enacted in 1934 to regulate the securities industry and mandate disclosure of important financial information for publicly traded companies.