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$$trials$,$ among $4271$ patients treated with the$$drug$,120$ developed the adverse reaction of nausea. Construct a $90\%$ confidence interval for the proportion of adverse reactions.

Find the best point estimate of the population proportion p$.$

Identify the value of the margin of error E$.$

Construct the confidence interval. $\_\_<$ p $<\_\_$

Write a statement that correctly interprets the confidence interval. Choose the correct answer below.

A$.$There is a $90\%$ chance that the true value of the population proportion will fall between the lower bound and the upper bound.

B$.$One has $90\%$ confidence that the sample proportion is equal to the population proportion.

C$.$One has $90\%$ confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion.

D$\mathrm{.}90\%$ of sample proportions will fall between the lower bound and the upper bound.