Answer :
Let's analyze the information provided in the table to determine which conclusions are supported by the data.
The table showcases voter participation percentages for both the Republican Primary and the General Election in five states: Florida, Michigan, New York, California, and Texas.
[tex]\[ \begin{tabular}{|c|c|c|} \hline State & \begin{tabular}{c} Republican \\ Primary \end{tabular} & \begin{tabular}{c} General \\ Election \end{tabular} \\ \hline Florida & $12.8\%$ & $63.5\%$ \\ \hline Michigan & $16.5\%$ & $64.7\%$ \\ \hline New York & $1.4\%$ & $53.1\%$ \\ \hline California & $22.9\%$ & $55.2\%$ \\ \hline Texas & $12.8\%$ & $49.7\%$ \\ \hline \end{tabular} \][/tex]
Let's go through each proposed conclusion one by one:
1. Voters are more likely to participate in a presidential election than in a primary.
- For Florida: [tex]$12.8\%$[/tex] (Primary) < [tex]$63.5\%$[/tex] (General Election)
- For Michigan: [tex]$16.5\%$[/tex] (Primary) < [tex]$64.7\%$[/tex] (General Election)
- For New York: [tex]$1.4\%$[/tex] (Primary) < [tex]$53.1\%$[/tex] (General Election)
- For California: [tex]$22.9\%$[/tex] (Primary) < [tex]$55.2\%$[/tex] (General Election)
- For Texas: [tex]$12.8\%$[/tex] (Primary) < [tex]$49.7\%$[/tex] (General Election)
- In all states listed, the voter participation percentage is higher in the General Election compared to the Republican Primary. Therefore, this conclusion is supported by the data.
2. Texas and Florida have the same number of Republican voters.
- In terms of percentages, both Texas and Florida have a [tex]$12.8\%$[/tex] voter participation rate in the Republican Primary. However, this is only a percentage and does not calculate the absolute number of Republican voters. Hence, this statement cannot be conclusively supported by the data provided, as the absolute number of Republican voters is not detailed.
3. Voters are more likely to participate in a primary than in a presidential election.
- Based on the data comparison in point 1, the voter participation percentage in the General Election is consistently higher than in the Republican Primary for all states. Thus, this conclusion is not supported.
4. California has more Republicans than New York.
- The participation percentage in the Republican Primary for California is [tex]$22.9\%$[/tex], while for New York it is [tex]$1.4\%$[/tex]. However, like point 2, the table provides percentages, not absolute numbers. Therefore, without additional data on the total number of voters, we cannot definitively determine which state has more Republicans.
Given all the provided information, the conclusion that the data support is:
Voters are more likely to participate in a presidential election than in a primary.
The table showcases voter participation percentages for both the Republican Primary and the General Election in five states: Florida, Michigan, New York, California, and Texas.
[tex]\[ \begin{tabular}{|c|c|c|} \hline State & \begin{tabular}{c} Republican \\ Primary \end{tabular} & \begin{tabular}{c} General \\ Election \end{tabular} \\ \hline Florida & $12.8\%$ & $63.5\%$ \\ \hline Michigan & $16.5\%$ & $64.7\%$ \\ \hline New York & $1.4\%$ & $53.1\%$ \\ \hline California & $22.9\%$ & $55.2\%$ \\ \hline Texas & $12.8\%$ & $49.7\%$ \\ \hline \end{tabular} \][/tex]
Let's go through each proposed conclusion one by one:
1. Voters are more likely to participate in a presidential election than in a primary.
- For Florida: [tex]$12.8\%$[/tex] (Primary) < [tex]$63.5\%$[/tex] (General Election)
- For Michigan: [tex]$16.5\%$[/tex] (Primary) < [tex]$64.7\%$[/tex] (General Election)
- For New York: [tex]$1.4\%$[/tex] (Primary) < [tex]$53.1\%$[/tex] (General Election)
- For California: [tex]$22.9\%$[/tex] (Primary) < [tex]$55.2\%$[/tex] (General Election)
- For Texas: [tex]$12.8\%$[/tex] (Primary) < [tex]$49.7\%$[/tex] (General Election)
- In all states listed, the voter participation percentage is higher in the General Election compared to the Republican Primary. Therefore, this conclusion is supported by the data.
2. Texas and Florida have the same number of Republican voters.
- In terms of percentages, both Texas and Florida have a [tex]$12.8\%$[/tex] voter participation rate in the Republican Primary. However, this is only a percentage and does not calculate the absolute number of Republican voters. Hence, this statement cannot be conclusively supported by the data provided, as the absolute number of Republican voters is not detailed.
3. Voters are more likely to participate in a primary than in a presidential election.
- Based on the data comparison in point 1, the voter participation percentage in the General Election is consistently higher than in the Republican Primary for all states. Thus, this conclusion is not supported.
4. California has more Republicans than New York.
- The participation percentage in the Republican Primary for California is [tex]$22.9\%$[/tex], while for New York it is [tex]$1.4\%$[/tex]. However, like point 2, the table provides percentages, not absolute numbers. Therefore, without additional data on the total number of voters, we cannot definitively determine which state has more Republicans.
Given all the provided information, the conclusion that the data support is:
Voters are more likely to participate in a presidential election than in a primary.
