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:

Sample Space

The set of all possible outcomes of a statistical experiment or random trial.

HIV

Human Immunodeficiency Virus, a virus that attacks the immune system and can lead to Acquired Immunodeficiency Syndrome (AIDS) if not treated.

Density Curve

A smooth curve used in statistics to describe the distribution of data where the area under the curve corresponds to the probability of occurrences within a range.

Continuous Random Variables

Variables that can assume an infinite number of values within a given range.