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160 Students Who Were Majoring in Either Math or English  Correct  Incorrect  Math 2753 English 4337\begin{array} { r | c c } & \text { Correct } & \text { Incorrect } \\\hline \text { Math } & 27 & 53 \\\text { English } & 43 & 37\end{array}

Question 59

Multiple Choice

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.  Correct  Incorrect  Math 2753 English 4337\begin{array} { r | c c } & \text { Correct } & \text { Incorrect } \\\hline \text { Math } & 27 & 53 \\\text { English } & 43 & 37\end{array} x2x ^ { 2 } = 6.502; P-value = 0.011 Are the response and major independent? Use a 5% level of significance.


A) Report that the distribution of correct answers is uniform for both majors because the null hypothesis is rejected.
B) Report that response is not dependent on major because the null hypothesis is rejected.
C) Report that response is not dependent on major because the null hypothesis is not rejected.
D) Report that response is dependent on major because the null hypothesis is rejected.
E) Report that response is dependent on major because the null hypothesis is not rejected.

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