Minimum Sample Size
Population Size2000
Margin of Error0.05
Confidence0.99
Power0.5
Population Variance0.36
z(alpha/2) + z(beta)2.5758293035489
z(alpha) + z(beta)2.32634787404084
Minimum Sample Size (2 sided test)646.775649947102
Minimum Sample Size (1 sided test)560.997162459659


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error0.05
Confidence0.99
Power0.5
Population Variance0.36
z(alpha/2) + z(beta)2.5758293035489
z(alpha) + z(beta)2.32634787404084
Minimum Sample Size (2 sided test)955.425110547054
Minimum Sample Size (1 sided test)779.312798071824


Minimum Sample Size (Unknown Population Variance)
Population Size2000
Margin of Error0.05
Confidence0.99
Power0.5
Population Varianceunknown
t(alpha/2) + t(beta)2.58346393272474
t(alpha) + t(beta)2.33302524641926
Minimum Sample Size (2 sided test)649.368661719791
Minimum Sample Size (1 sided test)563.3138972988


Minimum Sample Size
(Infinite Population, Unknown Population Variance)
Population Sizeinfinite
Margin of Error0.05
Confidence0.99
Power0.5
Population Varianceunknown
t(alpha/2) + t(beta)2.58099033454223
t(alpha) + t(beta)2.33114855862491
Minimum Sample Size (2 sided test)959.257599408058
Minimum Sample Size (1 sided test)782.532518742577