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 4206 patients treated with the drug, 148 developed the adverse reaction of nausea. Construct a 99% 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.
_< p < _ (Round to three decimal places as needed.)
d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below.
A. 99% of sample proportions will fall between the lower bound and the upper bound.
B. One has 99% confidence that the sample proportion is equal to the population proportion.
C. There is a 99% chance that the true value of the population proportion will fall between the lower bound and the upper bound.
D. One has 99% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion.
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