Question

A medical company tested a new drug on 100 people for possible side effects. This table shows the results.Compare the probability that an adult has side effects with the probability that a child has side effects. Draw a conclusion based on your results.

a) P(side effects|child) = 0.40, P(side effects|adult) = 0.12, Conclusion: Children have a much greater chance of having side effects than adults.

b) P(side effects|child) = 0.40, P(side effects|adult) = 0.12, Conclusion: Children have a much lower chance of having side effects than adults.

c) P(side effects|child) = 0.20, P(side effects|adult) = 0.60, Conclusion: Children have a much greater chance of having side effects than adults.

d) P(side effects|child) = 0.20, P(side effects|adult) = 0.60, Conclusion: Children have a much lower chance of having side effects than adults.

Answer 1

The correct comparison of probabilities suggests that children have a significantly higher chance of experiencing side effects from the drug than adults do, with children at 40% and adults at 12%. Option A is correct.

Step-by-step explanation:

The correct answer to compare the probabilities is: a) P(side effects|child) = 0.40, P(side effects|adult) = 0.12, Conclusion: Children have a much greater chance of having side effects than adults. This is because the probability of a child experiencing side effects, given that they are part of the test group, is significantly greater than that of an adult.

An interpretation of the probabilities indicates that 40% of the children showed side effects, while only 12% of the adults did, which represents a higher likelihood for children to experience side effects from the drug.

The probability of a child having side effects (P(side effects|child)) is 0.40, and the probability of an adult having side effects (P(side effects|adult)) is 0.12.

To compare the probabilities, we can see that the chance of a child having side effects is higher than the chance of an adult having side effects. Therefore, the conclusion is that children have a much greater chance of having side effects than adults.