The probability of flu symptoms for a person not receiving any treatment is 0.04

Question

The probability of flu symptoms for a person not receiving any treatment is 0.042. In a clinical trial of a common drug used to lower cholesterol, 47 of 1022 people treated experienced flu symptoms. Assuming the drug has no effect on the likelihood of flu symptoms, estimate the probability that at least 47 people experience flu symptoms. What do these results suggest about flu symptoms as an adverse reaction to the drug? (a) PX247) ] (Round to four decimal places as needed.) Enter your answer in the answer box and then click Check Answer. part

Explanation / Answer

Lets do this.

We have been given population param, p = .042
We have been given sample params as x/n = 47/1022
n = sample size = 1022

Lets put a hypothesis test in place:

Ho: Mu = .042
Ha: Mu > .042

So,

P(X>=47)
= P(Z>= p^-p /sqrt(p*p'/n))
= P(Z>= ((47/1022)-.042)/sqrt(.042*.958/1022))
= P(Z>=.64)
= 0.2625

Answer is .2625

Since this p-value is less than .05, we fail to reject the null hypothesis and conclude that drug doesn't cause any adverse reaction to the flu symptoms

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