Minimum Sample Size
Population Size20000
Margin of Error0.35
Confidence0.65
Power0.5
Population Variance13.0309278350515
z(alpha/2) + z(beta)0.93458929107348
z(alpha) + z(beta)0.385320466407568
Minimum Sample Size (2 sided test)92.4888838106384
Minimum Sample Size (1 sided test)15.7820088868686


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error0.35
Confidence0.65
Power0.5
Population Variance13.0309278350515
z(alpha/2) + z(beta)0.93458929107348
z(alpha) + z(beta)0.385320466407568
Minimum Sample Size (2 sided test)92.9139346718606
Minimum Sample Size (1 sided test)15.7936825883726


Minimum Sample Size (Unknown Population Variance)
Population Size20000
Margin of Error0.35
Confidence0.65
Power0.5
Population Varianceunknown
t(alpha/2) + t(beta)0.939398019965926
t(alpha) + t(beta)0.392901675581108
Minimum Sample Size (2 sided test)93.438637802732
Minimum Sample Size (1 sided test)16.4086281427929


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)0.939375670487624
t(alpha) + t(beta)0.392895619855475
Minimum Sample Size (2 sided test)93.868065304805
Minimum Sample Size (1 sided test)16.4207740526357