Question

the probability of flu symptoms for a person not receiving any treatment is 0.058. in a clinical trial of a common drug used to lower cholesterol, 66 of 1092 people treated experienced flu symptoms. assuming the drug has no effect on the likelihood of flu symptoms, estimate the probability that at least 66 people experience flu symptoms. what do these results suggest about flu symptoms as an adverse reaction to the drug? (a) p(x ≥ 66)= 0.3897 (round to four decimal places as needed.) (b) what does the result from part (a) suggest? a. the result x ≥ 66 is not significantly high, so the result suggests that the drug increases the likelihood of flu symptoms. b. the result x ≥ 66 is not significantly high, so the result suggests that the drug has no effect on flu symptoms. c. the result x ≥ 66 is significantly high, so the result suggests that the drug has no effect on flu symptoms. d. the result x ≥ 66 is significantly high, so the result suggests that the drug increases the likelihood of flu symptoms.

Explanation:

Step1: Interpret probability value

A probability of $P(X\geq66) = 0.3897$ is not a very low - probability event. In general, if a probability is greater than 0.05, we do not consider the event to be significantly high in a statistical sense.

Step2: Analyze drug - effect conclusion

Since the probability that at least 66 people experience flu symptoms is not significantly high, it implies that the observed number of people with flu symptoms among the drug - treated group could be due to chance if the drug has no effect on flu symptoms. So, the drug likely has no effect on flu symptoms.

Answer:

B. The result $x\geq66$ is not significantly high, so the result suggests that the drug has no effect on flu symptoms.