Answer :
To solve the problem, we need to calculate the relative frequencies or percentages of specific groups from the given data.
### Step-by-Step Solution:
1. Republican residents of County 1:
- We need to find the percentage of Republican residents out of the total residents in County 1.
- From the table:
- Number of Republican residents in County 1 = 2,470
- Total residents in County 1 = 6,520
- The formula to calculate the percentage:
[tex]\[ \text{Percentage} = \left(\frac{\text{Republican residents}}{\text{Total residents}}\right) \times 100 \][/tex]
Substituting the values:
[tex]\[ \text{Percentage} = \left(\frac{2,470}{6,520}\right) \times 100 \approx 37.9\% \][/tex]
2. Democratic residents of County 1:
- We need to find the percentage of Democratic residents out of the total residents in County 1.
- From the table:
- Number of Democratic residents in County 1 = 4,050
- Total residents in County 1 = 6,520
- The formula to calculate the percentage:
[tex]\[ \text{Percentage} = \left(\frac{\text{Democratic residents}}{\text{Total residents}}\right) \times 100 \][/tex]
Substituting the values:
[tex]\[ \text{Percentage} = \left(\frac{4,050}{6,520}\right) \times 100 \approx 62.1\% \][/tex]
3. Total Republican residents:
- We need to find the percentage of all Republican residents out of the total number of residents.
- From the table:
- Total number of Republican residents = 14,430
- Total number of residents = 24,505
- The formula to calculate the percentage:
[tex]\[ \text{Percentage} = \left(\frac{\text{Total Republican residents}}{\text{Total residents}}\right) \times 100 \][/tex]
Substituting the values:
[tex]\[ \text{Percentage} = \left(\frac{14,430}{24,505}\right) \times 100 \approx 58.9\% \][/tex]
4. Total Democratic residents:
- We need to find the percentage of all Democratic residents out of the total number of residents.
- From the table:
- Total number of Democratic residents = 10,075
- Total number of residents = 24,505
- The formula to calculate the percentage:
[tex]\[ \text{Percentage} = \left(\frac{\text{Total Democratic residents}}{\text{Total residents}}\right) \times 100 \][/tex]
Substituting the values:
[tex]\[ \text{Percentage} = \left(\frac{10,075}{24,505}\right) \times 100 \approx 41.1\% \][/tex]
### Summary of Results:
- Republican residents of County 1: [tex]\( 37.9\% \)[/tex]
- Democratic residents of County 1: [tex]\( 62.1\% \)[/tex]
- Total Republican residents: [tex]\( 58.9\% \)[/tex]
- Total Democratic residents: [tex]\( 41.1\% \)[/tex]
### Step-by-Step Solution:
1. Republican residents of County 1:
- We need to find the percentage of Republican residents out of the total residents in County 1.
- From the table:
- Number of Republican residents in County 1 = 2,470
- Total residents in County 1 = 6,520
- The formula to calculate the percentage:
[tex]\[ \text{Percentage} = \left(\frac{\text{Republican residents}}{\text{Total residents}}\right) \times 100 \][/tex]
Substituting the values:
[tex]\[ \text{Percentage} = \left(\frac{2,470}{6,520}\right) \times 100 \approx 37.9\% \][/tex]
2. Democratic residents of County 1:
- We need to find the percentage of Democratic residents out of the total residents in County 1.
- From the table:
- Number of Democratic residents in County 1 = 4,050
- Total residents in County 1 = 6,520
- The formula to calculate the percentage:
[tex]\[ \text{Percentage} = \left(\frac{\text{Democratic residents}}{\text{Total residents}}\right) \times 100 \][/tex]
Substituting the values:
[tex]\[ \text{Percentage} = \left(\frac{4,050}{6,520}\right) \times 100 \approx 62.1\% \][/tex]
3. Total Republican residents:
- We need to find the percentage of all Republican residents out of the total number of residents.
- From the table:
- Total number of Republican residents = 14,430
- Total number of residents = 24,505
- The formula to calculate the percentage:
[tex]\[ \text{Percentage} = \left(\frac{\text{Total Republican residents}}{\text{Total residents}}\right) \times 100 \][/tex]
Substituting the values:
[tex]\[ \text{Percentage} = \left(\frac{14,430}{24,505}\right) \times 100 \approx 58.9\% \][/tex]
4. Total Democratic residents:
- We need to find the percentage of all Democratic residents out of the total number of residents.
- From the table:
- Total number of Democratic residents = 10,075
- Total number of residents = 24,505
- The formula to calculate the percentage:
[tex]\[ \text{Percentage} = \left(\frac{\text{Total Democratic residents}}{\text{Total residents}}\right) \times 100 \][/tex]
Substituting the values:
[tex]\[ \text{Percentage} = \left(\frac{10,075}{24,505}\right) \times 100 \approx 41.1\% \][/tex]
### Summary of Results:
- Republican residents of County 1: [tex]\( 37.9\% \)[/tex]
- Democratic residents of County 1: [tex]\( 62.1\% \)[/tex]
- Total Republican residents: [tex]\( 58.9\% \)[/tex]
- Total Democratic residents: [tex]\( 41.1\% \)[/tex]
