Answered

A company conducted a survey to see whether its new toothpaste was more popular with children or adults. Of the adults surveyed, about [tex]$11\%$[/tex] use the toothpaste. Compare this with the percentage of children who use the toothpaste.

[tex]\[
\begin{tabular}{|c|c|c|c|}
\hline & Use toothpaste & \begin{tabular}{l}
Do not use \\
toothpaste
\end{tabular} & Total \\
\hline Children & 0.06 & 0.19 & 0.25 \\
\hline Adults & 0.08 & 0.67 & 0.75 \\
\hline Total & 0.14 & 0.86 & 1.0 \\
\hline
\end{tabular}
\][/tex]

Select the true statement.

A. A smaller percentage of children ([tex]$8\%$[/tex]) use the toothpaste.

B. A greater percentage of children ([tex]$24\%$[/tex]) use the toothpaste.

C. A greater percentage of children ([tex]$40\%$[/tex]) use the toothpaste.

D. A smaller percentage of children ([tex]$6\%$[/tex]) use the toothpaste.



Answer :

GinnyAnswer
Let's analyze the given data step-by-step to compare the percentage of children and adults who use the toothpaste.

We are given:
- Of the adults surveyed, [tex]\( 11\% \)[/tex] use the toothpaste.
- In the table, for children, [tex]\( 0.06 \)[/tex] (or [tex]\( 6\% \)[/tex]) use the toothpaste.

Now, let's understand the question and the provided options:

1. Given Percentage for Children:
- From the table, for children, [tex]\( 0.06 \)[/tex] (or [tex]\( 6\% \)[/tex]) use the toothpaste.

2. Given Percentage for Adults:
- From the problem statement, about [tex]\( 11\% \)[/tex] of adults use the toothpaste.

The options provided for the percentage of children who use the toothpaste are:
- A: A smaller percentage of children ([tex]\( 8\% \)[/tex]) use the toothpaste.
- B: A greater percentage of children ([tex]\( 24\% \)[/tex]) use the toothpaste.
- C: A greater percentage of children ([tex]\( 40\% \)[/tex]) use the toothpaste.
- D: A smaller percentage of children ([tex]\( 6\% \)[/tex]) use the toothpaste.

Clearly, the percentage of children who use the toothpaste is [tex]\( 6\% \)[/tex], which corresponds to option D.

Thus, the true statement is:
D. A smaller percentage of children ([tex]\( 6\% \)[/tex]) use the toothpaste.