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

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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.  Correct  Incorrect  Math 2753 English 4337\begin{array} { r | r r } & \text { Correct } & \text { Incorrect } \\\hline \text { Math } & 27 & 53 \\\text { English } & 43 & 37\end{array}


Definitions:

Standard Error

A measure of the dispersion or variability of a sampling distribution.

Slope

The measure of the steepness or incline of a line, defined as the ratio of the vertical change to the horizontal change between two points on the line.

True Slope

The actual slope of the relationship between two variables in the population, as opposed to an estimated slope.

Least-Squares Regression

A statistical method that estimates the best-fitting line through a set of points by minimizing the sum of the squares of the vertical distances from the points to the line.

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