To determine if there is an association between age and experiencing side effects, we need to compare the relative frequencies of adults and children who experienced side effects. Here is a step-by-step solution:
1. Calculate the total relative frequency for adults:
[tex]\[
\text{Total adults} = \text{Side effect (adults)} + \text{No side effect (adults)} = 0.07 + 0.43 = 0.50
\][/tex]
2. Calculate the total relative frequency for children:
[tex]\[
\text{Total children} = \text{Side effect (children)} + \text{No side effect (children)} = 0.22 + 0.28 = 0.50
\][/tex]
3. Calculate the percentage of adults who experienced side effects:
[tex]\[
\text{Percentage (adults)} = \left( \frac{\text{Side effect (adults)}}{\text{Total adults}} \right) \times 100 = \left( \frac{0.07}{0.50} \right) \times 100 = 14\%
\][/tex]
4. Calculate the percentage of children who experienced side effects:
[tex]\[
\text{Percentage (children)} = \left( \frac{\text{Side effect (children)}}{\text{Total children}} \right) \times 100 = \left( \frac{0.22}{0.50} \right) \times 100 = 44\%
\][/tex]
5. Compare the percentages:
[tex]\[
44\% \, (\text{children}) > 14\% \, (\text{adults})
\][/tex]
Based on these calculations, a greater percentage of children experienced side effects compared to adults. Therefore, the data do suggest an association between age and experiencing side effects. The correct answer is:
D. Yes. A greater percentage of children experienced side effects than adults.
