An article describes several studies of the failure rate of defibrillators used in the treatment of heart problems. In one study conducted by the Mayo Clinic, it was reported that failures were experienced within the first 2 years by 15 of 81 patients under 50 years old and 19 of 356 patients ages 50 and older who received a particular type of defibrillator. Assume it is reasonable to regard these two samples as representative of patients in the two age groups who receive this type of defibrillator. In USE SALT (a) Construct a 95% confidence interval for the proportion of patients under 50 years old who experience a failure within the first 2 years after receiving this type of defibrillator. (Round your answers to three decimal places.) Interpret the interval, We are confident that 95% of all patients under 50 years old who experience a failure within the first two years after receiving this type of defibrillator are within this interval. We are 95% confident that the proportion of all patients under 50 years old who experience a failure within the first two years after receiving this type of defibrillator is within this interval. We are 95% confident that the proportion of all patients who experience a failure after receiving this type of defibrillator is within this interval. O We are confident that the proportion of all patients under 50 years old who experience a failure within the first two years after receiving this type of defibrillator is within this interval at least 95% of the time

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
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An article describes several studies of the failure rate of defibrillators used in the treatment of heart problems. In one study conducted by the Mayo Clinic, it was reported that failures were experienced
within the first 2 years by 15 of 81 patients under 50 years old and 19 of 356 patients ages 50 and older who received a particular type of defibrillator. Assume it is reasonable to regard these two
samples as representative of patients in the two age groups who receive this type of defibrillator.
In USE SALT
(a) Construct a 95% confidence interval for the proportion of patients under 50 years old who experience a failure within the first 2 years after receiving this type of defibrillator. (Round your
answers to three decimal places.)
Interpret the interval.
We are confident that 95% of all patients under 50 years old who experience a failure within the first two years after receiving this type of defibrillator are within this interval.
We are 95% confident that the proportion of all patients under 50 years old who experience a failure within the first two years after receiving this type of defibrillator is within this
interval.
We are 95% confident that the proportion of all patients who experience a failure after receiving this type of defibrillator is within this interval.
We are confident that the proportion of all patients under 50 years old who experience a failure within the first two years after receiving this type of defibrillator is within this interval at least
95% of the time.
Transcribed Image Text:An article describes several studies of the failure rate of defibrillators used in the treatment of heart problems. In one study conducted by the Mayo Clinic, it was reported that failures were experienced within the first 2 years by 15 of 81 patients under 50 years old and 19 of 356 patients ages 50 and older who received a particular type of defibrillator. Assume it is reasonable to regard these two samples as representative of patients in the two age groups who receive this type of defibrillator. In USE SALT (a) Construct a 95% confidence interval for the proportion of patients under 50 years old who experience a failure within the first 2 years after receiving this type of defibrillator. (Round your answers to three decimal places.) Interpret the interval. We are confident that 95% of all patients under 50 years old who experience a failure within the first two years after receiving this type of defibrillator are within this interval. We are 95% confident that the proportion of all patients under 50 years old who experience a failure within the first two years after receiving this type of defibrillator is within this interval. We are 95% confident that the proportion of all patients who experience a failure after receiving this type of defibrillator is within this interval. We are confident that the proportion of all patients under 50 years old who experience a failure within the first two years after receiving this type of defibrillator is within this interval at least 95% of the time.
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