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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. 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

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

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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In this educational content, we explore a study on the failure rate of defibrillators used for treating heart problems. A specific study conducted by the Mayo Clinic indicates that: - Defibrillator failures were observed within the first 2 years in 15 out of 81 patients under 50 years old. - Failures were also reported in 19 out of 356 patients aged 50 and older who had received a particular type of defibrillator. These two patient groups are considered representative samples for their respective age groups using this defibrillator type. ### Task (a) Construct a **95% confidence interval** for the proportion of patients under 50 years old who encounter a failure within the first 2 years after receiving this defibrillator. (Responses should be rounded to three decimal places.) #### Interval Input - The confidence interval box is blank for users to input their data. #### Interpretation of the Interval Choose the best interpretation from the following options: - (Option 1) 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. - (Option 2) 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. - (Option 3) We are 95% confident that the proportion of all patients who experience a failure after receiving this type of defibrillator is within this interval. - (Option 4) We are confident that the proportion of 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. The interactive section includes a "USE SALT" button, indicating a step requiring a software or statistical tool to complete calculations.
Transcribed Image Text:In this educational content, we explore a study on the failure rate of defibrillators used for treating heart problems. A specific study conducted by the Mayo Clinic indicates that: - Defibrillator failures were observed within the first 2 years in 15 out of 81 patients under 50 years old. - Failures were also reported in 19 out of 356 patients aged 50 and older who had received a particular type of defibrillator. These two patient groups are considered representative samples for their respective age groups using this defibrillator type. ### Task (a) Construct a **95% confidence interval** for the proportion of patients under 50 years old who encounter a failure within the first 2 years after receiving this defibrillator. (Responses should be rounded to three decimal places.) #### Interval Input - The confidence interval box is blank for users to input their data. #### Interpretation of the Interval Choose the best interpretation from the following options: - (Option 1) 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. - (Option 2) 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. - (Option 3) We are 95% confident that the proportion of all patients who experience a failure after receiving this type of defibrillator is within this interval. - (Option 4) We are confident that the proportion of 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. The interactive section includes a "USE SALT" button, indicating a step requiring a software or statistical tool to complete calculations.
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