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

question 44

Multiple Choice

Find the value of the $\chi ^ { 2 }$ test statistic for a hypothesis test of independence. Round your answer to 3 decimal places.
-Tests for adverse reactions to a new drug yielded the results given in the table. $\begin{array}{l|cc} & \text { Drug } & \text { Placebo } \\\hline \text { Headaches } & 11 & 7 \\\text { No headaches } & 73 & 91\end{array}$

• A) \(1.978\)
• B) \(0.180\)
• C) \(1.798\)
• D) \(3.841\)

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Definitions:

Phenotype

The set of observable characteristics of an individual resulting from the interaction of its genotype with the environment.

DNA Synthesis

The natural or artificial creation of deoxyribonucleic acid molecules, a process crucial for replication and repair in living organisms.

Radiation

Energy that is emitted in the form of waves or particles, used in various fields including medicine and telecommunications.

Temperature

A measure of the internal energy contained in a substance, indicative of its thermal state.