Answer :
Let's solve the problem step-by-step:
1. Identify the relevant data from the table:
- The age range we are interested in is 41+.
- The number of people in the 41+ age range who chose "Somewhat Agree" is 12.
2. Calculate the total number of people in the 41+ age range:
- Add all the responses together for the 41+ age range: Agree, Somewhat Agree, Somewhat Disagree, Disagree.
- Agree: 8
- Somewhat Agree: 12
- Somewhat Disagree: 7
- Disagree: 3
[tex]\[ \text{Total number of people in the 41+ age range} = 8 + 12 + 7 + 3 = 30 \][/tex]
3. Calculate the percentage of people in the 41+ age range who chose "Somewhat Agree":
- Use the formula for percentage:
[tex]\[ \text{Percentage} = \left( \frac{\text{Number of "Somewhat Agree"}}{\text{Total number of people}} \right) \times 100 \][/tex]
Substituting the values:
[tex]\[ \text{Percentage} = \left( \frac{12}{30} \right) \times 100 \][/tex]
4. Perform the division and multiplication:
[tex]\[ \text{Percentage} = 0.4 \times 100 = 40.0\% \][/tex]
5. Round to the nearest whole percent:
[tex]\[ \text{Rounded Percentage} = 40\% \][/tex]
Therefore, the percentage of people in the 41+ age range who chose "Somewhat Agree" is [tex]\( 40\% \)[/tex].
1. Identify the relevant data from the table:
- The age range we are interested in is 41+.
- The number of people in the 41+ age range who chose "Somewhat Agree" is 12.
2. Calculate the total number of people in the 41+ age range:
- Add all the responses together for the 41+ age range: Agree, Somewhat Agree, Somewhat Disagree, Disagree.
- Agree: 8
- Somewhat Agree: 12
- Somewhat Disagree: 7
- Disagree: 3
[tex]\[ \text{Total number of people in the 41+ age range} = 8 + 12 + 7 + 3 = 30 \][/tex]
3. Calculate the percentage of people in the 41+ age range who chose "Somewhat Agree":
- Use the formula for percentage:
[tex]\[ \text{Percentage} = \left( \frac{\text{Number of "Somewhat Agree"}}{\text{Total number of people}} \right) \times 100 \][/tex]
Substituting the values:
[tex]\[ \text{Percentage} = \left( \frac{12}{30} \right) \times 100 \][/tex]
4. Perform the division and multiplication:
[tex]\[ \text{Percentage} = 0.4 \times 100 = 40.0\% \][/tex]
5. Round to the nearest whole percent:
[tex]\[ \text{Rounded Percentage} = 40\% \][/tex]
Therefore, the percentage of people in the 41+ age range who chose "Somewhat Agree" is [tex]\( 40\% \)[/tex].