Minimum Sample Size
Population Size98
Margin of Error0.05
Confidence0.95
Power0.2
Population Variance0.13
z(alpha/2) + z(beta)2.80158521811297
z(alpha) + z(beta)2.48647486052439
Minimum Sample Size (2 sided test)79.1815196986374
Minimum Sample Size (1 sided test)75.2851623714638


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error0.05
Confidence0.95
Power0.2
Population Variance0.13
z(alpha/2) + z(beta)2.80158521811297
z(alpha) + z(beta)2.48647486052439
Minimum Sample Size (2 sided test)408.141746186152
Minimum Sample Size (1 sided test)321.492976065028


Minimum Sample Size (Unknown Population Variance)
Population Size98
Margin of Error0.05
Confidence0.95
Power0.2
Population Varianceunknown
t(alpha/2) + t(beta)2.83701720762858
t(alpha) + t(beta)2.51211252618015
Minimum Sample Size (2 sided test)79.5607477039074
Minimum Sample Size (1 sided test)75.6411947793741


Minimum Sample Size
(Infinite Population, Unknown Population Variance)
Population Sizeinfinite
Margin of Error0.05
Confidence0.95
Power0.2
Population Varianceunknown
t(alpha/2) + t(beta)2.80831266093703
t(alpha) + t(beta)2.49236613416491
Minimum Sample Size (2 sided test)410.104240082119
Minimum Sample Size (1 sided test)323.018225230072