Minimum Sample Size
Population Size10000
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)524.22399042183
Minimum Sample Size (1 sided test)375.024856806457


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 Size10000
Margin of Error0.05
Confidence0.95
Power0.5
Population Varianceunknown
t(alpha/2) + t(beta)1.96450826205305
t(alpha) + t(beta)1.64893777600366
Minimum Sample Size (2 sided test)526.529547732855
Minimum Sample Size (1 sided test)376.819267537301


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