Minimum Sample Size
Population Size2e+05
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)551.647055213993
Minimum Sample Size (1 sided test)388.842739335218


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 Size2e+05
Margin of Error0.05
Confidence0.95
Power0.5
Population Varianceunknown
t(alpha/2) + t(beta)1.96428146055654
t(alpha) + t(beta)1.64879191774874
Minimum Sample Size (2 sided test)554.073365805555
Minimum Sample Size (1 sided test)390.703347357753


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