To solve this problem, we'll need to determine the percentage of adults who use the toothpaste and compare it to the given percentages in the possible statements.
1. From the table, we have the following information:
- The total percentage of children is [tex]\(0.25\)[/tex], of which 0.07 use the toothpaste and 0.18 do not.
- The total percentage of adults is [tex]\(0.75\)[/tex], of which 0.08 use the toothpaste and 0.67 do not.
2. First, calculate the total percentage of adults:
[tex]\[
\text{Total percentage of adults} = 0.75
\][/tex]
3. Next, calculate the percentage of adults who use the toothpaste:
[tex]\[
\text{Percentage of adults who use the toothpaste} = \left( \frac{0.08}{0.75} \right) \times 100 \approx 10.67\%
\][/tex]
4. Now compare the calculated percentage (10.67%) with the provided statements:
- Option A: A smaller percentage of adults (8%) use the toothpaste.
[tex]\[
10.67\% \neq 8\%
\][/tex]
- Option B: A greater percentage of adults (75%) use the toothpaste.
[tex]\[
10.67\% \neq 75\%
\][/tex]
- Option C: A greater percentage of adults (about 53%) use the toothpaste.
[tex]\[
10.67\% \neq 53\%
\][/tex]
- Option D: A smaller percentage of adults (about 11%) use the toothpaste.
[tex]\[
10.67\% \approx 11\%
\][/tex]
The closest match to our calculated percentage is option D: A smaller percentage of adults (about 11%) use the toothpaste.
Thus, the true statement is:
Option D. A smaller percentage of adults (about 11%) use the toothpaste.
