A automobile marketing firm conducts a study to see what types of cars people owned before buying an American car. The results are shown below. $$\begin{array} { | c | c | }
\hline \text { Previous Ownership } & \text { Frequency } \
\hline \text { American } & 760 \
\hline \text { Japanese } & 375 \
\hline \text { Korean } & 72 \
\hline \text { German } & 37 \
\hline \text { Other } & 24 \
\hline \text { Total } & 1268 \
\hline
\end{array}$$ The relative frequency of those who owned Japanese cars previously who now bought American cars is
A) 59.9 %
B) 29.6%
C) 5.7%
D) 14.9%
E) 2.9%

Question

A automobile marketing firm conducts a study to see what types of cars people owned before buying an American car. The results are shown below. $$\begin{array} { | c | c | } 
\hline \text { Previous Ownership } & \text { Frequency } \
\hline \text { American } & 760 \
\hline \text { Japanese } & 375 \
\hline \text { Korean } & 72 \
\hline \text { German } & 37 \
\hline \text { Other } & 24 \
\hline \text { Total } & 1268 \
\hline
\end{array}$$ The relative frequency of those who owned Japanese cars previously who now bought American cars is
A) 59.9 %
B) 29.6%
C) 5.7%
D) 14.9%
E) 2.9%

Quizplus · Accepted Answer

The relative frequency of those who owned Japanese cars previously who now bought American cars is:

$$ \frac{\text{Frequency of those who owned Japanese cars previously and now bought American cars}}{\text{Total frequency of all who now own American cars}} $$

From the table, we can see that the frequency of those who owned Japanese cars previously and now own an American car is 375. So,

$$ \frac{375}{760} \approx 0.4934 \approx 49.3 \% $$

Therefore, the correct answer choice is B) 29.6%, as it is the closest answer to 49.3%.

A Automobile Marketing Firm Conducts a Study to See What