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 4420 patients treated with the​ drug, 141 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.   A. One has 90​% confidence that the sample proportion is equal to the population proportion.   B. There is a 90​% chance that the true value of the population proportion will fall between the lower bound and the upper bound.   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. 90​% of sample proportions will fall between the lower bound and the upper bound.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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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 4420 patients treated with the​ drug, 141 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.
 
A. One has 90​% confidence that the sample proportion is equal to the population proportion.
 
B. There is a 90​% chance that the true value of the population proportion will fall between the lower bound and the upper bound.
 
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. 90​% of sample proportions will fall between the lower bound and the upper bound.
 
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