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Statistical Research Tools
Sampling Error

When reading statistical reports, readers may wish to know the sampling error for a given sample size.

a.   When the population size is big or infinite, to calculate sampling error (Infinite Population) for a given sample size, key in the Sample Size, n, and then click on your mouse.

Sample Size, n Sampling Error at 95% Confidence Level Sampling Error at 90% Confidence Level
150 8.00% 6.72%
200 6.93% 5.82%
300 5.66% 4.75%
350 5.24% 4.40%
500 4.38% 3.68%
1000 3.10% 2.60%
n:


b.   When the population size is small or finite, to calculate sampling error (finite sample) for a given sample size, key in the Population Size, N, and Sample Size, n, and then click on your mouse.

Population Size, N Sample Size, n Sampling Error at 95% Confidence Level Sampling Error at 90% Confidence Level
100 40 12.00% 10.07%
100 60 8.00% 6.72%
100 80 4.90% 4.11%
250 100 7.59% 6.37%
250 150 5.06% 4.25%
250 200 3.10% 2.60%
N: n:



Sample Size

When planning for a survey, one may wish to know the sample size that is required to achieve a specified sampling error.

To calculate the sample size for a specified sampling error, key in the sampling error and click on your mouse.

Sampling Error at 95% Confidence Level Sample Size, n
1.00% 9,604
1.50% 4,268
2.00% 2,401
2.50% 1,537
3.00% 1,067
4.00% 600
Sampling Error:


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