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

question 20

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:

Maderno

A reference to Carlo Maderno, an Italian architect who is considered one of the pioneers of Baroque architecture in the early 17th century.

Three Nave Bays

Architectural term describing the division of space in a church or cathedral, split into three longitudinal areas separated by columns or piers.

Caravaggio

An Italian painter known for his dramatic use of light and shadow and realistic depiction of human figures; a significant figure in the Baroque art movement.

Cardinal Del Monte

A title referring to certain cardinals of the Catholic Church; historically, it could refer to several individuals, such as Giovanni Maria del Monte, who became Pope Julius III.