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[tex]\[3x = 6x - 2\][/tex]



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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 Adults & 0.21 & 0.29 \\
\hline Children & 0.06 & 0.44 \\
\hline
\end{tabular}

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

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



Answer :

GinnyAnswer
To determine whether there is an association between age and experiencing side effects, we need to compare the relative frequencies of side effects experienced by adults and children.

Here is a step-by-step analysis:

1. Relative Frequency for Adults and Children:
- The relative frequency of adults experiencing side effects is [tex]\(0.21\)[/tex].
- The relative frequency of adults not experiencing side effects is [tex]\(0.29\)[/tex].
- The relative frequency of children experiencing side effects is [tex]\(0.06\)[/tex].
- The relative frequency of children not experiencing side effects is [tex]\(0.44\)[/tex].

2. Compare Side Effect Frequencies:
- For adults, the side effect frequency is [tex]\(0.21\)[/tex].
- For children, the side effect frequency is [tex]\(0.06\)[/tex].

Clearly, [tex]\(0.21\)[/tex] (adults) is greater than [tex]\(0.06\)[/tex] (children). Therefore, a greater percentage of adults experienced side effects compared to children.

3. Evaluate No Side Effect Frequencies:
- For adults, the no side effect frequency is [tex]\(0.29\)[/tex].
- For children, the no side effect frequency is [tex]\(0.44\)[/tex].

4. Conclusion:
- There is an evident difference in the relative frequency of experiencing side effects between adults and children.
- Adults have a higher percentage of experiencing side effects.

Therefore, based on the data, we can conclude:

D. Yes. A greater percentage of adults experienced side effects than children.

This conclusion suggests that age is associated with experiencing side effects, with adults being more likely to experience side effects compared to children.

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