Use A $\chi ^ { 2 }$ Test to Test the Claim That in the Given Contingency

question 39

Essay

Use a $\chi ^ { 2 }$ test to test the claim that in the given contingency table, the row variable and the column variable are independent.
-Tests for adverse reactions to a new drug yielded the results given in the table. At the 0.05 significance level, test the claim that the treatment (drug or placebo) is independent of the reaction (whether or not headaches were experienced). $$\begin{array} { r | r r } & \text { Drug }&\text { Placebo } \\\hline \text { Headaches } & 11 & 7 \\\text { No headaches } & 73 & 91\end{array}$$

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Definitions:

Cause-and-Effect Relationship

A connection between two events where one event (the cause) makes the other event happen (the effect), often used to explain why or how something occurs.

Late Effect

A delayed consequence or outcome that follows a previous injury, illness, or disease, impacting the individual's health status.

Varicella

A highly contagious viral infection, also known as chickenpox, characterized by itchy, blister-like rashes.

Contact

The act of communication or physical connection between individuals or the connection between a source of infection and a potential host.