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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 Adult & 0.05 & 0.45 \\
\hline Teen & 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 teens experienced side effects than adults.

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

C. No. Adults were as likely to experience side effects as teens.

D. No. A greater percentage of both adults and teens had no side effects.

Sagot :

GinnyAnswer
To answer the question of whether the data suggest an association between age and experiencing side effects, I will walk you through the detailed calculations and reasoning needed:

1. Understanding the Given Data:
- For adults:
- Relative frequency of experiencing side effects is 0.05
- Relative frequency of not experiencing side effects is 0.45.
- For teens:
- Relative frequency of experiencing side effects is 0.19
- Relative frequency of not experiencing side effects is 0.31.

2. Total Percentage Calculation:
- To determine the total percentage of adults and teens tested:
- Total percentage of adults = [tex]\(0.05 + 0.45 = 0.50\)[/tex]
- Total percentage of teens = [tex]\(0.19 + 0.31 = 0.50\)[/tex]

3. Calculating the Percentage of Side Effects:
- For adults:
- The percentage of adults who experienced side effects = [tex]\(\frac{0.05}{0.50} = 0.10\)[/tex] or 10%.
- For teens:
- The percentage of teens who experienced side effects = [tex]\(\frac{0.19}{0.50} = 0.38\)[/tex] or 38%.

4. Comparing Percentages:
- The percentage of teens who experienced side effects (38%) is greater than the percentage of adults who experienced side effects (10%).

5. Conclusion Based on Comparison:
- Since a greater percentage of teens (38%) experienced side effects compared to adults (10%), it suggests an association between age and experiencing side effects.

Therefore, the correct answer is:
A. Yes. A greater percentage of teens experienced side effects than adults.
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