Question

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 4856 patients treated with the​ drug, 144 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.

(Round to three decimal places as​ needed.)

​c) Construct the confidence interval.

​(Round to three decimal places as​ needed.)

​d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below.

A. One has 99​% confidence that the sample proportion is equal to the population proportion.

B. 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.

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. 99​% of sample proportions will fall between the lower bound and the upper bound.

Answer 1

(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.

** PS: Be sure whether the confidence interval is for 95% or 99%. I have calculated the confidence interval for 95% as stated at top.