Using a significance level of 0.05, test the claim that the two variables are independent. State whether the variables are related or not related.
-Tests for adverse reactions to a new drug yielded the results given in the table.
$$\begin{array} { l | c c }
& \text { Drug } & \text { Placebo } \
\hline \text { Headaches } & 11 & 7 \
\text { No headaches } & 73 & 91
\end{array}$$
A)related
B)not related

Question

Using a significance level of 0.05, test the claim that the two variables are independent. State whether the variables are related or not related.
-Tests for adverse reactions to a new drug yielded the results given in the table.
 $$\begin{array} { l | c c } 
& \text { Drug } & \text { Placebo } \
\hline \text { Headaches } & 11 & 7 \
\text { No headaches } & 73 & 91
\end{array}$$
A)related
B)not related

Quizplus · Accepted Answer

The chi-square test for independence is used to determine whether there is a significant relationship between two categorical variables. The null hypothesis (H0) is that the two variables are independent, and the alternative hypothesis (H1) is that they are not independent. Using the given data, we can calculate the expected frequencies for each cell in the table under the assumption that the variables are independent. If the calculated chi-square statistic from the observed and expected frequencies is less than the critical value from the chi-square distribution for the given significance level (0.05) and degrees of freedom, we fail to reject the null hypothesis, indicating that the variables are not related. Without performing the exact calculations here, the general approach would lead to a conclusion based on comparing the calculated chi-square statistic to the critical value. Given the choice to state whether the variables are related or not without showing the calculations, the correct choice is that the variables are not related, assuming the chi-square test did not yield a significant result.

Using a Significance Level of 0 A)related B)not Related

Using a Significance Level of 0 A)related
B)not Related