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.The test statistic for this test of independence is
A) 0.
B) 8.4.
C) 62.5.
D) 82.5.

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.The test statistic for this test of independence is
A) 0.
B) 8.4.
C) 62.5.
D) 82.5.

Quizplus · Accepted Answer

The test statistic for independence is calculated using the chi-square formula. The expected frequencies are calculated based on the marginal totals, and the chi-square statistic is the sum of the squared differences between observed and expected frequencies, divided by the expected frequencies. The calculated value is 62.5.

The Table Below Gives Beverage Preferences for Random Samples of Teens