Perform a chi-square independence test using the critical value approach, provided the conditions for using the test aremet. Be sure to state the hypotheses and the significance level, to obtain the expected frequencies, to obtain the criticalvalue, to compute the value of the test statistic, and to state your conclusion.
-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, do the data provide sufficient evidence to conclude that an association exists between response and major? $$\begin{array} { r | r c } & \text { Correct } & \text { Incorrect } \ \hline \text { Math } & 27 & 53 \ \text { English } & 43 & 37 \end{array}$$

Question

Perform a chi-square independence test using the critical value approach, provided the conditions for using the test aremet. Be sure to state the hypotheses and the significance level, to obtain the expected frequencies, to obtain the criticalvalue, to compute the value of the test statistic, and to state your conclusion.
-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, do the data provide sufficient evidence to conclude that an association exists between response and major? $$\begin{array} { r | r c }  & \text { Correct } & \text { Incorrect } \ \hline \text { Math } & 27 & 53 \ \text { English } & 43 & 37 \end{array}$$

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The Answer of Perform a chi-square independence test using the critical value approach, provided the conditions for using the test aremet. Be sure to state the hypotheses and the significance level, to obtain the expected frequencies, to obtain the criticalvalue, to compute the value of the test statistic, and to state your conclusion.
-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, do the data provide sufficient evidence to conclude that an association exists between response and major? $$\begin{array} { r | r c }  & \text { Correct } & \text { Incorrect } \ \hline \text { Math } & 27 & 53 \ \text { English } & 43 & 37 \end{array}$$