Use a $x ^ { 2 }$ 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 $x ^ { 2 }$ 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

H _ { 0 }

: Treatment and reaction are independent.

H _ { 1 }

: 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. nt

Use A x2x ^ { 2 }x2 Test to Test the Claim That in the Given Contingency

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