Minimum Sample Size
Population Size20000
Margin of Error0.35
Confidence0.65
Power0.5
Population Variance13.5621063240111
z(alpha/2) + z(beta)0.93458929107348
z(alpha) + z(beta)0.385320466407568
Minimum Sample Size (2 sided test)96.2408575470136
Minimum Sample Size (1 sided test)16.4248011140727


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error0.35
Confidence0.65
Power0.5
Population Variance13.5621063240111
z(alpha/2) + z(beta)0.93458929107348
z(alpha) + z(beta)0.385320466407568
Minimum Sample Size (2 sided test)96.7013766749952
Minimum Sample Size (1 sided test)16.4374789901785


Minimum Sample Size (Unknown Population Variance)
Population Size20000
Margin of Error0.35
Confidence0.65
Power0.5
Population Varianceunknown
t(alpha/2) + t(beta)0.939207663206374
t(alpha) + t(beta)0.392582023021391
Minimum Sample Size (2 sided test)97.1897429002803
Minimum Sample Size (1 sided test)17.0491688859499


Minimum Sample Size
(Infinite Population, Unknown Population Variance)
Population Sizeinfinite
Margin of Error0.35
Confidence0.65
Power0.5
Population Varianceunknown
t(alpha/2) + t(beta)0.939185332109184
t(alpha) + t(beta)0.392575989151691
Minimum Sample Size (2 sided test)97.6548143448536
Minimum Sample Size (1 sided test)17.0623373098795