Minimum Sample Size
Population Size20000
Margin of Error0.05
Confidence0.95
Power0.05
Population Variance0.36
z(alpha/2) + z(beta)3.60481761149153
z(alpha) + z(beta)3.28970725390294
Minimum Sample Size (2 sided test)1711.21889122675
Minimum Sample Size (1 sided test)1445.80843093794


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error0.05
Confidence0.95
Power0.05
Population Variance0.36
z(alpha/2) + z(beta)3.60481761149153
z(alpha) + z(beta)3.28970725390294
Minimum Sample Size (2 sided test)1871.2382417452
Minimum Sample Size (1 sided test)1558.39302955896


Minimum Sample Size (Unknown Population Variance)
Population Size20000
Margin of Error0.05
Confidence0.95
Power0.05
Population Varianceunknown
t(alpha/2) + t(beta)3.60709715734539
t(alpha) + t(beta)3.29181791792694
Minimum Sample Size (2 sided test)1713.19834630631
Minimum Sample Size (1 sided test)1447.52995717381


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)3.60690200364985
t(alpha) + t(beta)3.29166524579643
Minimum Sample Size (2 sided test)1873.40285720639
Minimum Sample Size (1 sided test)1560.24865301531