Minimum Sample Size
Population Size20000
Margin of Error0.05
Confidence0.95
Power0.95
Population Variance15
z(alpha/2) + z(beta)3.60481761149153
z(alpha) + z(beta)3.28970725390294
Minimum Sample Size (2 sided test)15917.2074455985
Minimum Sample Size (1 sided test)15290.5877881803


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error0.05
Confidence0.95
Power0.95
Population Variance15
z(alpha/2) + z(beta)3.60481761149153
z(alpha) + z(beta)3.28970725390294
Minimum Sample Size (2 sided test)77968.2600727168
Minimum Sample Size (1 sided test)64933.0428982899


Minimum Sample Size (Unknown Population Variance)
Population Size20000
Margin of Error0.05
Confidence0.95
Power0.95
Population Varianceunknown
t(alpha/2) + t(beta)3.60506241270878
t(alpha) + t(beta)3.2899065872087
Minimum Sample Size (2 sided test)15917.6487337534
Minimum Sample Size (1 sided test)15291.0240893963


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)3.60486758239972
t(alpha) + t(beta)3.28975418885068
Minimum Sample Size (2 sided test)77970.4217198182
Minimum Sample Size (1 sided test)64934.8957383636