Voter Turnout in Different Types of Elections

\begin{tabular}{|c|c|c|}
\hline
State & \begin{tabular}{c}
Republican \\
Primary
\end{tabular} & \begin{tabular}{c}
General \\
Election
\end{tabular} \\
\hline
Florida & [tex]$12.8 \%$[/tex] & [tex]$63.5 \%$[/tex] \\
\hline
Michigan & [tex]$16.5 \%$[/tex] & [tex]$64.7 \%$[/tex] \\
\hline
New York & [tex]$1.4 \%$[/tex] & [tex]$53.1 \%$[/tex] \\
\hline
California & [tex]$22.9 \%$[/tex] & [tex]$55.2 \%$[/tex] \\
\hline
Texas & [tex]$12.8 \%$[/tex] & [tex]$49.7 \%$[/tex] \\
\hline
\end{tabular}

Source: United States Elections Project, George Mason University

Which conclusion does the data in the chart support?

A. Voters are more likely to participate in a presidential election than a primary.
B. Voters are more likely to participate in a primary than in a presidential election.
C. California has more Republicans than New York.
D. Texas and Florida have a similar number of Republican voters.



Answer :

Let's analyze the data given in the table and determine the conclusion it supports.

First, we will summarize the voter turnout percentages for both the Republican primary and the General election for each state:

[tex]\[ \begin{array}{|c|c|c|} \hline \text{State} & \text{Republican Primary (\%)} & \text{General Election (\%)} \\ \hline \text{Florida} & 12.8 & 63.5 \\ \hline \text{Michigan} & 16.5 & 64.7 \\ \hline \text{New York} & 1.4 & 53.1 \\ \hline \text{California} & 22.9 & 55.2 \\ \hline \text{Texas} & 12.8 & 49.7 \\ \hline \end{array} \][/tex]

Next, let's calculate the average voter turnout for the Republican primary and the General election across these states.

To find the average, we will sum the percentages and then divide by the number of states:
- Total primary turnout [tex]\(= 12.8 + 16.5 + 1.4 + 22.9 + 12.8 = 66.4\)[/tex]
- Total general election turnout [tex]\(= 63.5 + 64.7 + 53.1 + 55.2 + 49.7 = 286.2\)[/tex]

Since there are 5 states listed:
- Average primary turnout [tex]\(= \frac{66.4}{5} = 13.28\%\)[/tex]
- Average general election turnout [tex]\( = \frac{286.2}{5} = 57.24\%\)[/tex]

Now, let's interpret these averages:
- The average turnout for the Republican primary is [tex]\(13.28\%\)[/tex].
- The average turnout for the General election is [tex]\(57.24\%\)[/tex].

Based on these averages, we can determine that on average, more voters tend to participate in the General election compared to the Republican primary.

Hence, the correct conclusion supported by the data in the chart is:
"Voters are more likely to participate in a presidential election than a primary."