Minimum Sample Size
Population Size20000
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)538.308186718027
Minimum Sample Size (1 sided test)382.172675601699


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 Size20000
Margin of Error0.05
Confidence0.95
Power0.5
Population Varianceunknown
t(alpha/2) + t(beta)1.96438888106519
t(alpha) + t(beta)1.64886100181623
Minimum Sample Size (2 sided test)540.675761642961
Minimum Sample Size (1 sided test)384.001329371166


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)1.964269526253
t(alpha) + t(beta)1.64878424248387
Minimum Sample Size (2 sided test)555.603087134328
Minimum Sample Size (1 sided test)391.462484869887