1. USING STATCRUNCH 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 4572 patients treated with the drug, 103 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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1. USING STATCRUNCH 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 4572 patients treated with the drug, 103 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 interval from the lower bound to the upper bound actually doe contain the true value of the population proportion.
B. One has 95% confidence that the sample proportion is equal to the population proportion.
C. There is a 95% chance that the true value of the population proportion will fall between the lower bound and the upper bound.
D. 95% of sample proportions will fall between the lower bound and the upper bound.
Transcribed Image Text:1. USING STATCRUNCH 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 4572 patients treated with the drug, 103 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 interval from the lower bound to the upper bound actually doe contain the true value of the population proportion. B. One has 95% confidence that the sample proportion is equal to the population proportion. C. There is a 95% chance that the true value of the population proportion will fall between the lower bound and the upper bound. D. 95% of sample proportions will fall between the lower bound and the upper bound.
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