Answer :
To determine the conclusion drawn from the given table data, we need to analyze the participation percentages for the Republican Primary and the General Election. Let's carefully examine the data for specific states: Florida, Michigan, New York, California, and Texas.
1. Primary Participation Percentages:
- Florida: 12.8%
- Michigan: 16.5%
- New York: 1.4%
- California: 22.9%
- Texas: 12.8%
2. General Election Participation Percentages:
- Florida: 63.5%
- Michigan: 64.7%
- New York: 53.1%
- California: 55.2%
- Texas: 49.7%
First, we'll calculate the average participation rate for the Republican Primary:
[tex]\[ \text{Average Primary Participation} = \frac{12.8 + 16.5 + 1.4 + 22.9 + 12.8}{5} = 13.28\% \][/tex]
Similarly, we'll calculate the average participation rate for the General Election:
[tex]\[ \text{Average General Election Participation} = \frac{63.5 + 64.7 + 53.1 + 55.2 + 49.7}{5} = 57.24\% \][/tex]
Comparing these averages:
- Average Primary Participation: 13.28%
- Average General Election Participation: 57.24%
From this, we see that the average participation rate in the General Election (57.24%) is significantly higher than in the Republican Primary (13.28%).
Thus, the data supports the conclusion that voters are more likely to participate in a general election than in a primary.
Let's also briefly consider the other options:
1. Voters are more likely to participate in a presidential election than in a primary.
- This is true as shown by the calculated averages.
2. Texas and Florida have the same number of Republican voters.
- The table does not provide information about the actual number of voters, only percentages.
3. Voters are more likely to participate in a primary than in a presidential election.
- This is false based on the data.
4. California has more Republicans than New York.
- The table provides participation rates, not actual voter counts or the number of Republicans.
Therefore, based on the provided data and analysis:
Conclusion: Voters are more likely to participate in the general election than in the primary.
1. Primary Participation Percentages:
- Florida: 12.8%
- Michigan: 16.5%
- New York: 1.4%
- California: 22.9%
- Texas: 12.8%
2. General Election Participation Percentages:
- Florida: 63.5%
- Michigan: 64.7%
- New York: 53.1%
- California: 55.2%
- Texas: 49.7%
First, we'll calculate the average participation rate for the Republican Primary:
[tex]\[ \text{Average Primary Participation} = \frac{12.8 + 16.5 + 1.4 + 22.9 + 12.8}{5} = 13.28\% \][/tex]
Similarly, we'll calculate the average participation rate for the General Election:
[tex]\[ \text{Average General Election Participation} = \frac{63.5 + 64.7 + 53.1 + 55.2 + 49.7}{5} = 57.24\% \][/tex]
Comparing these averages:
- Average Primary Participation: 13.28%
- Average General Election Participation: 57.24%
From this, we see that the average participation rate in the General Election (57.24%) is significantly higher than in the Republican Primary (13.28%).
Thus, the data supports the conclusion that voters are more likely to participate in a general election than in a primary.
Let's also briefly consider the other options:
1. Voters are more likely to participate in a presidential election than in a primary.
- This is true as shown by the calculated averages.
2. Texas and Florida have the same number of Republican voters.
- The table does not provide information about the actual number of voters, only percentages.
3. Voters are more likely to participate in a primary than in a presidential election.
- This is false based on the data.
4. California has more Republicans than New York.
- The table provides participation rates, not actual voter counts or the number of Republicans.
Therefore, based on the provided data and analysis:
Conclusion: Voters are more likely to participate in the general election than in the primary.