Minimum Sample Size
Population Size725
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)314.013231475084
Minimum Sample Size (1 sided test)253.645095736447


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 Size725
Margin of Error0.05
Confidence0.95
Power0.5
Population Varianceunknown
t(alpha/2) + t(beta)1.96757169665946
t(alpha) + t(beta)1.65090720145893
Minimum Sample Size (2 sided test)315.393155494377
Minimum Sample Size (1 sided test)254.858011301318


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)1.96426952625300
t(alpha) + t(beta)1.64878424248387
Minimum Sample Size (2 sided test)555.603087134328
Minimum Sample Size (1 sided test)391.462484869887