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1) a) You feel safe using an estimate for p of .13 Find the sample size needed if a 98% confidence interval has a 'margin of error' of 4% if ... b) You are going to play it as safe as possible and use p of .50

1) a) You feel safe using an estimate for p of .13 Find the sample size needed if a 98% confidence interval has a 'margin of error' of 4% if ... b) You are going to play it as safe as possible and use p of .50

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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**Assignment 20.20 - Sample Size Calculation** --- **1) Find the sample size needed if a 98% confidence interval has a 'margin of error' of 4% if:** a) You feel safe using an estimate for p of 0.13 b) You are going to play it as safe as possible and use p of 0.50 --- **2) Find the sample size needed if a 99.8% confidence interval has a 'margin of error' of 0.5% if:** a) You feel safe using an estimate for p of 0.07 b) You are going to play it as safe as possible and use p of 0.50 --- **3) Find the sample size used if a 95% confidence interval reports a 'margin of error' of 2.5% if:** a) You think those reporting the result used an estimate for p from their survey results of 0.46 b) You think that they played it safe and calculate the margin of error using p of 0.50 --- *Note: This assignment helps to understand the calculation of sample size for different confidence intervals and margins of error, using estimated proportions (p) in different scenarios.*
Transcribed Image Text:**Assignment 20.20 - Sample Size Calculation** --- **1) Find the sample size needed if a 98% confidence interval has a 'margin of error' of 4% if:** a) You feel safe using an estimate for p of 0.13 b) You are going to play it as safe as possible and use p of 0.50 --- **2) Find the sample size needed if a 99.8% confidence interval has a 'margin of error' of 0.5% if:** a) You feel safe using an estimate for p of 0.07 b) You are going to play it as safe as possible and use p of 0.50 --- **3) Find the sample size used if a 95% confidence interval reports a 'margin of error' of 2.5% if:** a) You think those reporting the result used an estimate for p from their survey results of 0.46 b) You think that they played it safe and calculate the margin of error using p of 0.50 --- *Note: This assignment helps to understand the calculation of sample size for different confidence intervals and margins of error, using estimated proportions (p) in different scenarios.*
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