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.

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