Question

# Use the sample data and confidence level given below to complete parts​ (a) through​ (d). A...

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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