A poll asked adults which activities they had engaged in during the past month.The results are listed below. $$\begin{array} { l | c }
\text { Activity } & \text { Percent } \
\hline \text { Dinner out } & 55.7 \
\hline \text { Sporting event } & 15.9 \
\hline \text { Movie } & 45.6 \
\hline \text { Stroll } & 5.1
\end{array}$$ Is it reasonable to conclude that 61.5% of those polled had seen a movie or gone to a sporting event during the past month?
A)Yes,because these categories do not overlap.
B)No,because the percentages in relative frequencies tables can never be added.
C)Yes,because the percentages can always be added in relative frequency tables.
D)No,because these categories overlap.
E)No,because the poll is not based on a large enough number of individuals.

Question

A poll asked adults which activities they had engaged in during the past month.The results are listed below. $$\begin{array} { l | c } 
\text { Activity } & \text { Percent } \
\hline \text { Dinner out } & 55.7 \
\hline \text { Sporting event } & 15.9 \
\hline \text { Movie } & 45.6 \
\hline \text { Stroll } & 5.1
\end{array}$$ Is it reasonable to conclude that 61.5% of those polled had seen a movie or gone to a sporting event during the past month?
A)Yes,because these categories do not overlap.
B)No,because the percentages in relative frequencies tables can never be added.
C)Yes,because the percentages can always be added in relative frequency tables.
D)No,because these categories overlap.
E)No,because the poll is not based on a large enough number of individuals.

Quizplus · Accepted Answer

The categories "seen a movie" and "gone to a sporting event" overlap, as it is possible for individuals to have done both. Therefore, simply adding the percentages of these categories would result in double-counting some individuals and an overestimation of the total percentage.

A Poll Asked Adults Which Activities They Had Engaged in During