Minimum Sample Size
Population Size20000
Margin of Error0.01
Confidence0.99
Power0.5
Population Variance0.36
z(alpha/2) + z(beta)2.5758293035489
z(alpha) + z(beta)2.32634787404084
Minimum Sample Size (2 sided test)10885.6467427743
Minimum Sample Size (1 sided test)9869.26133373927


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error0.01
Confidence0.99
Power0.5
Population Variance0.36
z(alpha/2) + z(beta)2.5758293035489
z(alpha) + z(beta)2.32634787404084
Minimum Sample Size (2 sided test)23885.6277636764
Minimum Sample Size (1 sided test)19482.8199517956


Minimum Sample Size (Unknown Population Variance)
Population Size20000
Margin of Error0.01
Confidence0.99
Power0.5
Population Varianceunknown
t(alpha/2) + t(beta)2.57628107377987
t(alpha) + t(beta)2.3267258184221
Minimum Sample Size (2 sided test)10887.3866888631
Minimum Sample Size (1 sided test)9870.88555293622


Minimum Sample Size
(Infinite Population, Unknown Population Variance)
Population Sizeinfinite
Margin of Error0.01
Confidence0.99
Power0.5
Population Varianceunknown
t(alpha/2) + t(beta)2.57603516472295
t(alpha) + t(beta)2.32653930214486
Minimum Sample Size (2 sided test)23889.4458116011
Minimum Sample Size (1 sided test)19486.0264479289