Voter Turnout and Election-Day Registration

[tex]\[
\begin{array}{|c|c|}
\hline
\multicolumn{2}{|c|}{\text{States with Election-Day Registration}} \\
\hline
2008 & 72\% \\
\hline
2012 & 65\% \\
\hline
\end{array}
\][/tex]

[tex]\[
\begin{array}{|c|c|}
\hline
\multicolumn{2}{|c|}{\text{States without Election-Day Registration}} \\
\hline
2008 & 62\% \\
\hline
2012 & 58\% \\
\hline
\end{array}
\][/tex]

Question:
Which statement best describes the table?

A. States with election-day registration had higher turnout.

B. States without election-day registration had higher turnout.

C. States with and without election-day registration had roughly equal turnout.

D. States with election-day registration outnumber those without.



Answer :

To determine which statement best describes the table of voter turnout, we need to compare the average voter turnout percentages for states with election-day registration and those without.

Step 1: Calculate the average voter turnout for states with election-day registration.

[tex]\[ \text{Average turnout for states with EDR} = \frac{\text{Turnout in 2008} + \text{Turnout in 2012}}{2} \][/tex]

Given data:
- 2008 turnout: 72%
- 2012 turnout: 65%

[tex]\[ \text{Average turnout for states with EDR} = \frac{72 + 65}{2} = \frac{137}{2} = 68.5\% \][/tex]

Step 2: Calculate the average voter turnout for states without election-day registration.

[tex]\[ \text{Average turnout for states without EDR} = \frac{\text{Turnout in 2008} + \text{Turnout in 2012}}{2} \][/tex]

Given data:
- 2008 turnout: 62%
- 2012 turnout: 58%

[tex]\[ \text{Average turnout for states without EDR} = \frac{62 + 58}{2} = \frac{120}{2} = 60.0\% \][/tex]

Step 3: Compare the average voter turnouts.

We have:
- Average turnout for states with EDR: 68.5%
- Average turnout for states without EDR: 60.0%

Based on these averages, it is clear that the average voter turnout in states with election-day registration (68.5%) is higher than in states without election-day registration (60.0%).

Conclusion: The statement that best describes the table is:

"States with election-day registration had higher turnout."

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