Minimum Sample Size
Population Size500
Margin of Error0.05
Confidence0.95
Power0.5
Population Variance0.2
z(alpha/2) + z(beta)1.95996398454005
z(alpha) + z(beta)1.64485362695147
Minimum Sample Size (2 sided test)190.568236711457
Minimum Sample Size (1 sided test)151.265252594542


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error0.05
Confidence0.95
Power0.5
Population Variance0.2
z(alpha/2) + z(beta)1.95996398454005
z(alpha) + z(beta)1.64485362695147
Minimum Sample Size (2 sided test)307.31670565553
Minimum Sample Size (1 sided test)216.443476327633


Minimum Sample Size (Unknown Population Variance)
Population Size500
Margin of Error0.05
Confidence0.95
Power0.5
Population Varianceunknown
t(alpha/2) + t(beta)1.97255697858831
t(alpha) + t(beta)1.65505734398431
Minimum Sample Size (2 sided test)192.081172922249
Minimum Sample Size (1 sided test)152.57334499768


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)1.96773865956068
t(alpha) + t(beta)1.651957032417
Minimum Sample Size (2 sided test)309.759634586373
Minimum Sample Size (1 sided test)218.316962956158