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 4185 patients treated with the drug, 186 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.

b) Identify the value of the margin of error E.

E=

c) Construct the confidence interval.

(Round to three decimal places as needed.)

d) Write a statement that correctly interprets the confidence interval. What is the correct answer

A.

There is a 95% chance that the true value of the population proportion 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.

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.

D.

95% of sample proportions will fall between the lower bound and the upper bound