Question

The probability of flu symptoms for a person not receiving any treatment is 0.039. In a clinical trial of a common drug used to lower cholesterol, 43 of 1009 people treated experienced flu symptoms. Assuming the drug has no effect on the likelihood of flu symptoms, estimate the probability that at least 43 people experienced flu symptoms. What do these results suggest about flu symptoms as an adverse reaction to the drug?

A. P(X greater than or equal to 43) = _ (round to four decimal places as needed.)

B. What does the result from part (a) suggest?

a. the drug increases the likelihood of flu symptoms because X greater than or equal to 43 is highly unlikely.
b. the drug increases the likelihood of flu symptoms because X greater than or equal to 43 is not highly unlikely.
c. the drug has no effect on flu symptoms because X greater than or equal to 43 is highly unlikely.
d. the drug has no effect on flu symptoms because X greater than or equal to 43 is not highly unlikely.

Answer 1

Let X be the number of people experienced flu symptoms

probability that flu symptoms experienced by person is p=0.039

total number of people=1009

we have to calculate the probability

we will use the normal approximation to binomial distribution

since 0.5 is continuity fraction

using Z table we will obtain the value

So probability will be 0.03

Option c is correct

the drug has no effect on flu symptoms because X greater than or equal to 43 is highly unlikely.