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Chapter 4 · Sampling · Slide 140/274

Margin of error approach: two formulas

Calculating the margin of error

4.4 · Sample Size Calculating the margin of error

Margin of error approach: two formulas


x = x̂ ± E
x = true value of the parameter = sample value E = margin of error
For metric data
Means
Assessing means computed from the sample
E = z · σ / √n
zz-value for the specified confidence level
σStandard deviation of the parameter in the population
nSample size
For proportions
Proportions
Assessing computed proportions
E = z · √(π(1−π)/n)
zz-value for the specified confidence level
πEstimated value for the proportion in the population
nSample size
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