what are the important elements in finding the sample size using the margin of error? Why did you say so?
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Given : margin of error
To Find : sample size
Solution:
SE = Standard Error = basically SD of Sample.
Standard Error = SD of population / √(sample size)
n = sample size
SE = SD/√n
Margin of Error = Half of confidence interval
=> Margin of Error = z * Standard Error
Margin of Error = ME
ME = z * SE
ME = z*( SD/√n)
=>√n = z * SD/ME
=> n = (z * SD/ME)²
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