To determine whether there is an association between age and experiencing side effects, we should analyze the relative frequencies provided in the table for both adults and children.
Given data from the table:
- For adults:
- Probability of experiencing side effects: [tex]\( 0.07 \)[/tex]
- Probability of not experiencing side effects: [tex]\( 0.43 \)[/tex]
- For children:
- Probability of experiencing side effects: [tex]\( 0.22 \)[/tex]
- Probability of not experiencing side effects: [tex]\( 0.28 \)[/tex]
First, let's confirm that the probabilities for each group (adults and children) sum to 1, because either an individual experienced side effects or they did not.
For adults:
[tex]\[ 0.07 + 0.43 = 0.50 \][/tex]
For children:
[tex]\[ 0.22 + 0.28 = 0.50 \][/tex]
This tells us that the provided probabilities are inconsistent, as they do not sum to 1. However, assuming these are partial data or misprinted results, we will still base our examination on the provided numbers.
Next, let's compare the probabilities of experiencing side effects between adults and children:
[tex]\[ \text{Adults: } 0.07 \][/tex]
[tex]\[ \text{Children: } 0.22 \][/tex]
Clearly, 0.22 (children) is greater than 0.07 (adults).
Based on this comparison, a greater percentage of children experienced side effects than adults. Therefore, there is an association between age and experiencing side effects, specifically indicating that children were more likely to experience side effects compared to adults.
Thus, the correct answer is:
C. Yes. A greater percentage of children experienced side effects than adults.
