Use a 2 Test to Test the Claim That in the Given

question 86

Essay

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

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Definitions:

Economic Losses

Financial losses incurred due to inefficiencies, decreased demand, or negative external factors affecting the economy.

Economic Profits

The difference between a firm's total revenue and its total costs, including both explicit and implicit costs, indicating the extra income earned over what could have been earned in the next best alternative.

Accounting Profits

The sales revenues minus the expenses of a firm over a designated time period, usually one year. Accounting profits typically make allowances for changes in the firm’s inventories and depreciation of its assets. No allowance is made, however, for the opportunity cost of the equity capital of the firm’s owners, or other implicit costs.

Zero

Zero is a numerical value representing the absence of any quantity or magnitude; it plays a central role in mathematics and economics.