A drug is used to help prevent blood clots in certain patients. In clinical​ trials, among 4178 patients treated with the​ drug, 115 developed the adverse reaction of nausea. Construct a 90​% confidence interval for the proportion of adverse reactions. ​a) Find the best point estimate of the population proportion p.     ​b) Identify the value of the margin of error E.       ​c) Construct the confidence interval.     ​d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below.

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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
4178
patients treated with the​ drug,
115
developed the adverse reaction of nausea. Construct a
90​%
confidence interval for the proportion of adverse reactions.
​a) Find the best point estimate of the population proportion p.
 
 
​b) Identify the value of the margin of error E.
 
 
 
​c) Construct the confidence interval.
 
 
​d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below.
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