To solve this question, let's analyze and calculate the required percentages for both children and adults based on the given data.
1. First, calculate the percentage of children who use the toothpaste:
- According to the table, 0.07 (representing 7%) of children use the toothpaste out of the total 0.25 (25%) children surveyed.
- The percentage of children using the toothpaste is:
[tex]\[
\left( \frac{0.07}{0.25} \right) \times 100 = 28\%
\][/tex]
- This matches the given detail in the problem.
2. Next, let's calculate the percentage of adults who use the toothpaste:
- According to the table, 0.08 (representing 8%) of adults use the toothpaste out of the total 0.75 (75%) adults surveyed.
- The percentage of adults using the toothpaste is:
[tex]\[
\left( \frac{0.08}{0.75} \right) \times 100 = \frac{8}{75} \times 100
\][/tex]
To further simplify:
[tex]\[
\frac{8}{75} \times 100 \approx 10.67\%
\][/tex]
3. Now, we match our calculated percentage with the given statements:
- Statement A: A smaller percentage of adults (about 11%) use the toothpaste. This appears to be closest to our calculated value, which is approximately 10.67%.
- Statement B: A smaller percentage of adults (8%) use the toothpaste. This is incorrect because 8% represents only the adults who use the toothpaste, not the percentage out of all adults surveyed.
- Statement C: A greater percentage of adults (75%) use the toothpaste. This is incorrect as 75% represents the total adults surveyed.
- Statement D: A greater percentage of adults (about 53%) use the toothpaste. This is significantly higher than the calculated value of approximately 10.67%.
4. Therefore, the true statement is:
- A. A smaller percentage of adults (about 11%) use the toothpaste.
