Minimum Sample Size
Population Size20000
Margin of Error0.05
Confidence0.95
Power0.95
Population Variance12.53
z(alpha/2) + z(beta)3.60481761149153
z(alpha) + z(beta)3.28970725390294
Minimum Sample Size (2 sided test)15301.4552934566
Minimum Sample Size (1 sided test)14612.3191428894


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error0.05
Confidence0.95
Power0.95
Population Variance12.53
z(alpha/2) + z(beta)3.60481761149153
z(alpha) + z(beta)3.28970725390294
Minimum Sample Size (2 sided test)65129.4865807427
Minimum Sample Size (1 sided test)54240.7351677048


Minimum Sample Size (Unknown Population Variance)
Population Size20000
Margin of Error0.05
Confidence0.95
Power0.95
Population Varianceunknown
t(alpha/2) + t(beta)3.60507226520024
t(alpha) + t(beta)3.28991584100396
Minimum Sample Size (2 sided test)15301.9631384867
Minimum Sample Size (1 sided test)14612.8182856055


Minimum Sample Size
(Infinite Population, Unknown Population Variance)
Population Sizeinfinite
Margin of Error0.05
Confidence0.95
Power0.95
Population Varianceunknown
t(alpha/2) + t(beta)3.60487743332567
t(alpha) + t(beta)3.28976344132079
Minimum Sample Size (2 sided test)65131.6482422149
Minimum Sample Size (1 sided test)54242.5880212521