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8

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 4802 patients treated with the drug, 169 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. (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. There is a $95%$ chance that the true value of the population proportion will fall between the lower bound and the upper bound. c. $95%$ of sample proportions will fall between the lower bound and the upper bound.

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