Minimum Sample Size
Population Size1e+07
Margin of Error0.05
Confidence0.95
Power0.05
Population Variance0.2
z(alpha/2) + z(beta)3.60481761149153
z(alpha) + z(beta)3.28970725390294
Minimum Sample Size (2 sided test)1039.46884414687
Minimum Sample Size (1 sided test)865.699041916402


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error0.05
Confidence0.95
Power0.05
Population Variance0.2
z(alpha/2) + z(beta)3.60481761149153
z(alpha) + z(beta)3.28970725390294
Minimum Sample Size (2 sided test)1039.57680096956
Minimum Sample Size (1 sided test)865.773905310532


Minimum Sample Size (Unknown Population Variance)
Population Size1e+07
Margin of Error0.05
Confidence0.95
Power0.05
Population Varianceunknown
t(alpha/2) + t(beta)3.60857326503756
t(alpha) + t(beta)3.2932354476758
Minimum Sample Size (2 sided test)1041.6356731154
Minimum Sample Size (1 sided test)867.556791860497


Minimum Sample Size
(Infinite Population, Unknown Population Variance)
Population Sizeinfinite
Margin of Error0.05
Confidence0.95
Power0.05
Population Varianceunknown
t(alpha/2) + t(beta)3.60857287423951
t(alpha) + t(beta)3.29323514191104
Minimum Sample Size (2 sided test)1041.74385509578
Minimum Sample Size (1 sided test)867.631815993427