The table below gives beverage preferences for random samples of teens and adults. $$\begin{array} { l l l l }
& \text { Teens } & \text { Adults } & \text { Total } \
\text { Coffee } & 50 & 200 & 250 \
\text { Tea } & 100 & 150 & 250 \
\text { Soft Drink } & 200 & 200 & 400 \
\text { Other } & 50 & 50 & 100 \
& 400 & 600 & 1000
\end{array}$$ We are asked to test for independence between age (i.e., adult and teen) and drink preferences.With a .05 level of significance, the critical value for the test is
A) 5.991.
B) 7.815.
C) 14.067.
D) 15.507.

Question

The table below gives beverage preferences for random samples of teens and adults. $$\begin{array} { l l l l } 
& \text { Teens } & \text { Adults } & \text { Total } \
\text { Coffee } & 50 & 200 & 250 \
\text { Tea } & 100 & 150 & 250 \
\text { Soft Drink } & 200 & 200 & 400 \
\text { Other } & 50 & 50 & 100 \
& 400 & 600 & 1000
\end{array}$$   We are asked to test for independence between age (i.e., adult and teen) and drink preferences.With a .05 level of significance, the critical value for the test is
A) 5.991.
B) 7.815.
C) 14.067.
D) 15.507.

Quizplus · Accepted Answer

The degrees of freedom for the test are (rows - 1) * (columns - 1) = (2 - 1) * (4 - 1) = 3. At a 0.05 significance level, the critical value from the chi-square distribution table for 3 degrees of freedom is 7.815.

The Table Below Gives Beverage Preferences for Random Samples of Teens