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

4248

patients treated with the​ drug,

101

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.

nothingless than p less than

​(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 interval from the lower bound to the upper bound actually does contain the true value of the population proportion.

B.There is a

95%

chance that the true value of the population proportion will fall between the lower bound and the upper bound.

C.One has

95%

confidence that the sample proportion is equal to the population proportion.

D.

95​%

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

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