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Use the sample data and confidence level given below to complete parts (a) through (d)
A drug is used to help prevent blood clots in certain patients. In clinical trials, among 4505 patients treated with the drug, 100 developed the adverse reaction of nausea. Construct a 95% confidence interval for the
proportion of adverse reactions.
a) Find the best point estimate of the population proportion $p$
(Round to three decimal places as needed.)
b) Identify the value of the margin of error $E$
$E = $
(Round to three decimal places as needed.)
c) Construct the confidence interval.
$\hat{p} < p < $
(Round to three decimal places as needed.)
d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below.
A. 95% of sample proportions will fall between the lower bound and the upper bound
B. One has 95% confidence that the sample proportion is equal to the population proportion
C. There is a 95% chance that the true value of the population proportion will fall between the lower bound and the upper bound
D. One has 95% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion
