A medical company tested a new drug for possible side effects. The table shows the relative frequency that a study participant experienced the side effect.

\begin{tabular}{|c|c|c|}
\hline & Side effect & No side effect \\
\hline Adults & 0.05 & 0.45 \\
\hline Teens & 0.19 & 0.31 \\
\hline
\end{tabular}

Do these data suggest an association between age and experiencing side effects?

A. Yes. A greater percentage of adults experienced side effects than teens.
B. No. Adults were as likely to experience side effects as teens.
C. Yes. A greater percentage of teens experienced side effects than adults.
D. No. A greater percentage of both adults and teens had no side effects.



Answer :

To determine if there is an association between age and experiencing side effects based on the given data, let's analyze the relative frequencies of experiencing side effects for both adults and teens.

### Given Data:

- Adults:
- Side effect: 0.05 (5%)
- No side effect: 0.45 (45%)

- Teens:
- Side effect: 0.19 (19%)
- No side effect: 0.31 (31%)

### Step-by-Step Analysis:

1. Examine the percentages for experiencing side effects:
- For adults, 5% experienced side effects.
- For teens, 19% experienced side effects.

2. Comparing these percentages:
- 19% (teens) is greater than 5% (adults).

3. Conclusion for Experiencing Side Effects:
- A greater percentage of teens experienced side effects compared to adults.

Given this analysis, we can conclude that:

- Yes, there is an association between age and experiencing side effects because a greater percentage of teens experienced side effects compared to adults.

Thus, the correct choice from the given options is:

- C. Yes. A greater percentage of teens experienced side effects than adults.