Minimum Sample Size
Population Size20000
Margin of Error0.05
Confidence0.9
Power0.5
Population Variance0.13
z(alpha/2) + z(beta)1.64485362695147
z(alpha) + z(beta)1.2815515655446
Minimum Sample Size (2 sided test)139.712450162488
Minimum Sample Size (1 sided test)85.0445667625729


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error0.05
Confidence0.9
Power0.5
Population Variance0.13
z(alpha/2) + z(beta)1.64485362695147
z(alpha) + z(beta)1.2815515655446
Minimum Sample Size (2 sided test)140.688259612962
Minimum Sample Size (1 sided test)85.4034695877905


Minimum Sample Size (Unknown Population Variance)
Population Size20000
Margin of Error0.05
Confidence0.9
Power0.5
Population Varianceunknown
t(alpha/2) + t(beta)1.65591290004042
t(alpha) + t(beta)1.29170587063687
Minimum Sample Size (2 sided test)141.584151666959
Minimum Sample Size (1 sided test)86.3917535349236


Minimum Sample Size
(Infinite Population, Unknown Population Variance)
Population Sizeinfinite
Margin of Error0.05
Confidence0.9
Power0.5
Population Varianceunknown
t(alpha/2) + t(beta)1.65583512700514
t(alpha) + t(beta)1.29166234630368
Minimum Sample Size (2 sided test)142.573078326854
Minimum Sample Size (1 sided test)86.7563640766535