Answer:
The best point estimate of the population proportion p is 0.0251.
The 99% confidence interval for the proportion of adverse reactions is (0.0191, 0.0311).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
In clinical trials, among 4547 patients treated with the drug, 114 developed the adverse reaction of nausea.
This means that
The best point estimate of the population proportion p is 0.0251.
99% confidence level
So , z is the value of Z that has a pvalue of , so .
The lower limit of this interval is:
The upper limit of this interval is:
The 99% confidence interval for the proportion of adverse reactions is (0.0191, 0.0311).