Find the Value of The $\chi ^ { 2 }$ Test Statistic for a Hypothesis Test of Independence

question 18

Multiple Choice

Find the value of the $\chi ^ { 2 }$ test statistic for a hypothesis test of independence. Round your answer to 3 decimal places.
-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. $$\begin{array} { l | c c } & \text { Correct } & \text { Incorrect } \\\hline \text { Math } & 27 & 53 \\\text { English } & 43 & 37\end{array}$$

• A)0.011
• B)6.205
• C)6.635
• D)6.502

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Definitions:

Elementary School Years

The period of formal education typically from kindergarten through fifth or sixth grade, foundational for cognitive, emotional, and social development in children.

Habituation

A process in which one becomes used to a repeated stimulus and therefore pays less attention to it.

Desensitization

The process of reducing sensitivity or responsiveness to a stimulus, often used as a therapeutic approach.

Constancy

Refers to the psychological or physical stability or steadiness in a person or environment.