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).
$\begin{array} { r | c c }
& \text { Drug } & \text { Placebo } \
\hline \text { Headaches } & 11 & 7 \
\text { No headaches } & 73 & 91
\end{array}$

Question

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).
$\begin{array} { r | c c } 
& \text { Drug } & \text { Placebo } \
\hline \text { Headaches } & 11 & 7 \
\text { No headaches } & 73 & 91
\end{array}$

Quizplus · Accepted Answer

The Answer is H₀: Treatment and reaction are independent.
H₁: Treatment and reaction are dependent.
Test statistic:

\chi ^ { 2 } = 1.798

Critical value:

\chi ^ { 2 } = 3.841

Fail to reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that treatment and reaction are independent.

Use A χ2\chi ^ { 2 }χ2 Test to Test the Claim That in the Given Contingency

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