Minimum Sample Size
Population Size1000
Margin of Error0.05
Confidence0.95
Power0.5
Population Variance0.36
z(alpha/2) + z(beta)1.95996398454005
z(alpha) + z(beta)1.64485362695147
Minimum Sample Size (2 sided test)356.384961163322
Minimum Sample Size (1 sided test)280.56945579213


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error0.05
Confidence0.95
Power0.5
Population Variance0.36
z(alpha/2) + z(beta)1.95996398454005
z(alpha) + z(beta)1.64485362695147
Minimum Sample Size (2 sided test)553.170070179954
Minimum Sample Size (1 sided test)389.598257389739


Minimum Sample Size (Unknown Population Variance)
Population Size1000
Margin of Error0.05
Confidence0.95
Power0.5
Population Varianceunknown
t(alpha/2) + t(beta)1.96666160500912
t(alpha) + t(beta)1.65032225622222
Minimum Sample Size (2 sided test)357.951463597239
Minimum Sample Size (1 sided test)281.911358460788


Minimum Sample Size
(Infinite Population, Unknown Population Variance)
Population Sizeinfinite
Margin of Error0.05
Confidence0.95
Power0.5
Population Varianceunknown
t(alpha/2) + t(beta)1.964269526253
t(alpha) + t(beta)1.64878424248387
Minimum Sample Size (2 sided test)555.603087134328
Minimum Sample Size (1 sided test)391.462484869887