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 4994 patients treated with the​ drug, 180 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.

___<p<___

​(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 95% confidence that the sample proportion is equal to the population proportion.

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

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.There is a 95​% chance that the true value of the population proportion will fall between the lower bound and the upper bound.

Answer 1

Here

a) Here the best point estimate of the population proportion p is  .

b) The margin of error is

c)The two sided confidence interval for proportion is

d) The interpretation of the confidence interval is

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.