117 college students were interviewed to determine their political party affiliations and whether they favored a balanced-budget amendment to the Constitution.The results of the study are listed in the table,where D represents Democrat and R represents Republican. $$\begin{array} { | l | l | l | l | l | }
\hline & \text { Favor } & \text { Not favor } & \text { Unsure } & \text { Total } \
\hline \boldsymbol { D } & 23 & 30 & 7 & 60 \
\hline \boldsymbol { R } & 39 & 13 & 5 & 57 \
\hline \text { Total } & 62 & 43 & 12 & 117 \
\hline
\end{array}$$
A person is selected at random from the sample.Find the probability that the described person is selected.A Republican.Round your answer to one decimal place.

A)43.3%
B)44.2%
C)48.7%
D)46.8%
E)45.9%

Question

117 college students were interviewed to determine their political party affiliations and whether they favored a balanced-budget amendment to the Constitution.The results of the study are listed in the table,where D represents Democrat and R represents Republican. $$\begin{array} { | l | l | l | l | l | } 
\hline & \text { Favor } & \text { Not favor } & \text { Unsure } & \text { Total } \
\hline \boldsymbol { D } & 23 & 30 & 7 & 60 \
\hline \boldsymbol { R } & 39 & 13 & 5 & 57 \
\hline \text { Total } & 62 & 43 & 12 & 117 \
\hline
\end{array}$$
A person is selected at random from the sample.Find the probability that the described person is selected.A Republican.Round your answer to one decimal place.
​
A)43.3%
B)44.2%
C)48.7%
D)46.8%
E)45.9%

Quizplus · Accepted Answer

To find the probability of selecting a Republican, we need to look at the number of Republicans in the sample and divide by the total number of people in the sample. From the table, we see that there are 54 Republicans in the sample. So, the probability of selecting a Republican is 54/117 = 0.4615 or 46.15%, which when rounded to one decimal place is 46.8%, closest to option C (48.7%).

117 College Students Were Interviewed to Determine Their Political Party