ou may need to use the appropriate appendix table or technology to answer this question. The population proportion is 0.22. What is the probability that a sample proportion will be within ±0.04 of the population proportion for each of the following sample sizes? (Round your answers to 4 decimal places.) (a) n = 100   (b) n = 200   (c) n = 500

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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QUESTION 9

You may need to use the appropriate appendix table or technology to answer this question.
The population proportion is 0.22. What is the probability that a sample proportion will be within ±0.04 of the population proportion for each of the following sample sizes? (Round your answers to 4 decimal places.)
(a)
n = 100
 
(b)
n = 200
 
(c)
n = 500
 
(d)
n = 1,000
 
(e)
What is the advantage of a larger sample size?
There is a higher probability 
p
 will be within ±0.04 of the population proportion p.We can guarantee 
p
 will be within ±0.04 of the population proportion p.    There is a higher probability 
σp
 will be within ±0.04 of the population standard deviation.As sample size increases, 
E(p)
 approaches p.
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