Minimum Sample Size
Population Size2000
Margin of Error0.05
Confidence0.95
Power0.5
Population Variance0.8
z(alpha/2) + z(beta)1.95996398454005
z(alpha) + z(beta)1.64485362695147
Minimum Sample Size (2 sided test)761.564573292404
Minimum Sample Size (1 sided test)604.427388636581


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error0.05
Confidence0.95
Power0.5
Population Variance0.8
z(alpha/2) + z(beta)1.95996398454005
z(alpha) + z(beta)1.64485362695147
Minimum Sample Size (2 sided test)1229.26682262212
Minimum Sample Size (1 sided test)865.773905310532


Minimum Sample Size (Unknown Population Variance)
Population Size2000
Margin of Error0.05
Confidence0.95
Power0.5
Population Varianceunknown
t(alpha/2) + t(beta)1.96308796216523
t(alpha) + t(beta)1.64738272231342
Minimum Sample Size (2 sided test)763.067226026188
Minimum Sample Size (1 sided test)605.724163363533


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)1.96189725411463
t(alpha) + t(beta)1.64661757095552
Minimum Sample Size (2 sided test)1231.69306742481
Minimum Sample Size (1 sided test)867.631815993427