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Sagot :
Let's analyze the given voter turnout data to determine the truthfulness of the provided statements.
[tex]\[ \begin{array}{|c|c|c|c|c|} \hline \text{Election Year} & \multicolumn{4}{|c|}{\text{Age}} \\ \hline & \text{18-24} & \text{25-44} & \text{45-64} & \text{65+} \\ \hline 2016 & 39.4\% & 49\% & 61.7\% & 68.4\% \\ \hline 2012 & 38\% & 49.5\% & 63.4\% & 69.7\% \\ \hline 2008 & 44.3\% & 51.9\% & 65\% & 68.1\% \\ \hline 2004 & 41.9\% & 52.2\% & 66.6\% & 68.9\% \\ \hline \end{array} \][/tex]
### Statement 1: 18-24 year olds had the highest percent of turnout for the 2004 election.
Let's look at the turnout for the 18-24 age group:
- 2016: 39.4%
- 2012: 38%
- 2008: 44.3%
- 2004: 41.9%
The highest turnout for 18-24 age group was in 2008 (44.3%), not in 2004 (41.9%). Thus, this statement is false.
### Statement 2: Overall, 65+ year olds had the highest percent of voters in all 4 elections.
Now, compare the turnout percentages in each year:
- 2016: 68.4% (65+ highest)
- 2012: 69.7% (65+ highest)
- 2008: 68.1% (65+ highest)
- 2004: 68.9% (65+ highest)
For each year, the 65+ age group had the highest voter turnout percentage. Thus, this statement is true.
### Statement 3: The data shows that, overall, the older voters get, the more likely they are to vote.
Let's compare the turnout percentages in each year across all age groups:
- 2016: 39.4% (18-24), 49% (25-44), 61.7% (45-64), 68.4% (65+)
- 2012: 38% (18-24), 49.5% (25-44), 63.4% (45-64), 69.7% (65+)
- 2008: 44.3% (18-24), 51.9% (25-44), 65% (45-64), 68.1% (65+)
- 2004: 41.9% (18-24), 52.2% (25-44), 66.6% (45-64), 68.9% (65+)
In each year, the voter turnout percentage increases with age. Thus, this statement is true.
### Statement 4: 2004 was the election year in this data set where the highest percentage of 45-64 year olds voted.
Let's look at the turnout for the 45-64 age group:
- 2016: 61.7%
- 2012: 63.4%
- 2008: 65%
- 2004: 66.6%
The highest turnout for the 45-64 age group was indeed in 2004 (66.6%). Thus, this statement is true.
### Conclusion
Based on the analysis:
1. 18-24 year olds had the highest percent of turnout for the 2004 election: False
2. Overall, 65+ year olds had the highest percent of voters in all 4 elections: True
3. The data shows that, overall, the older voters get, the more likely they are to vote: True
4. 2004 was the election year in this data set where the highest percentage of 45-64 year olds voted: True
Therefore, the correct interpretation of the statements based on the given voter turnout data is [False, True, True, True].
[tex]\[ \begin{array}{|c|c|c|c|c|} \hline \text{Election Year} & \multicolumn{4}{|c|}{\text{Age}} \\ \hline & \text{18-24} & \text{25-44} & \text{45-64} & \text{65+} \\ \hline 2016 & 39.4\% & 49\% & 61.7\% & 68.4\% \\ \hline 2012 & 38\% & 49.5\% & 63.4\% & 69.7\% \\ \hline 2008 & 44.3\% & 51.9\% & 65\% & 68.1\% \\ \hline 2004 & 41.9\% & 52.2\% & 66.6\% & 68.9\% \\ \hline \end{array} \][/tex]
### Statement 1: 18-24 year olds had the highest percent of turnout for the 2004 election.
Let's look at the turnout for the 18-24 age group:
- 2016: 39.4%
- 2012: 38%
- 2008: 44.3%
- 2004: 41.9%
The highest turnout for 18-24 age group was in 2008 (44.3%), not in 2004 (41.9%). Thus, this statement is false.
### Statement 2: Overall, 65+ year olds had the highest percent of voters in all 4 elections.
Now, compare the turnout percentages in each year:
- 2016: 68.4% (65+ highest)
- 2012: 69.7% (65+ highest)
- 2008: 68.1% (65+ highest)
- 2004: 68.9% (65+ highest)
For each year, the 65+ age group had the highest voter turnout percentage. Thus, this statement is true.
### Statement 3: The data shows that, overall, the older voters get, the more likely they are to vote.
Let's compare the turnout percentages in each year across all age groups:
- 2016: 39.4% (18-24), 49% (25-44), 61.7% (45-64), 68.4% (65+)
- 2012: 38% (18-24), 49.5% (25-44), 63.4% (45-64), 69.7% (65+)
- 2008: 44.3% (18-24), 51.9% (25-44), 65% (45-64), 68.1% (65+)
- 2004: 41.9% (18-24), 52.2% (25-44), 66.6% (45-64), 68.9% (65+)
In each year, the voter turnout percentage increases with age. Thus, this statement is true.
### Statement 4: 2004 was the election year in this data set where the highest percentage of 45-64 year olds voted.
Let's look at the turnout for the 45-64 age group:
- 2016: 61.7%
- 2012: 63.4%
- 2008: 65%
- 2004: 66.6%
The highest turnout for the 45-64 age group was indeed in 2004 (66.6%). Thus, this statement is true.
### Conclusion
Based on the analysis:
1. 18-24 year olds had the highest percent of turnout for the 2004 election: False
2. Overall, 65+ year olds had the highest percent of voters in all 4 elections: True
3. The data shows that, overall, the older voters get, the more likely they are to vote: True
4. 2004 was the election year in this data set where the highest percentage of 45-64 year olds voted: True
Therefore, the correct interpretation of the statements based on the given voter turnout data is [False, True, True, True].
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