Minimum Sample Size
Population Size2e+05
Margin of Error0.05
Confidence0.95
Power0.5
Population Variance13
z(alpha/2) + z(beta)1.95996398454005
z(alpha) + z(beta)1.64485362695147
Minimum Sample Size (2 sided test)18161.7215359884
Minimum Sample Size (1 sided test)13144.2694838596


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error0.05
Confidence0.95
Power0.5
Population Variance13
z(alpha/2) + z(beta)1.95996398454005
z(alpha) + z(beta)1.64485362695147
Minimum Sample Size (2 sided test)19975.5858676094
Minimum Sample Size (1 sided test)14068.8259612961


Minimum Sample Size (Unknown Population Variance)
Population Size2e+05
Margin of Error0.05
Confidence0.95
Power0.5
Population Varianceunknown
t(alpha/2) + t(beta)1.96009461958399
t(alpha) + t(beta)1.64496957049282
Minimum Sample Size (2 sided test)18163.922754437
Minimum Sample Size (1 sided test)13146.0007883778


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)1.96008275609091
t(alpha) + t(beta)1.64496195002219
Minimum Sample Size (2 sided test)19978.0069357697
Minimum Sample Size (1 sided test)14070.6790485083