Chapter 6, Section 1-CI, Exercise 034 What Influences the Sample Size? We examin

Question

Chapter 6, Section 1-CI, Exercise 034 What Influences the Sample Size? We examine the effect of different inputs on determining the sample size needed to obtain a specific margin of error when finding a confidence interval for a proportion Find the sample size needed to give, with 99% confidence, a margin of error within +5% when estimating a proportion. Within ±4%. within ±1%. (Assume no prior knowledge about the population proportion p.) Round your answers up to the nearest integer. Margin of ErroSample Size 5%; 4% 1%:

Explanation / Answer

for 5% margin of errror:

similarly for others:

( please try sample sizes 666 ; 1041 ;16641 if above comes wrong and revert)

here margin of error E = 0.05 for99% CI crtiical Z          = 2.576 estimated proportion=p= 0.500 required sample size n =         p*(1-p)*(z/E)2= 664.00

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