1 Set your parameters
* You need an exact population count. If it is unknown, use Cochran’s formula (about 385 at 95% confidence) instead.
Margin of error (e)
Minimum sample size
286
Population of 1,000 at a 5% margin of error
Step-by-step substitution
n = N / (1 + Ne²)
n = 1000 / (1 + 1000 × 0.05²)
n = 1000 / (1 + 2.5)
n = 1000 / 3.5
n = 285.71 ≈ 286
Text for your report (Chapter 3)
The population of this study consists of 1,000 people. The sample size was determined using Taro Yamane's (1973) formula at a 5% margin of error: n = 1000 / (1 + 1000 × 0.05²) = 285.71, or 286 respondents. To allow for incomplete or unusable responses, an additional 10% was added, giving a total sample of 315 respondents.
ⓘ This free tool helps with a first calculation. Khontob does not guarantee the results or any outcome of using them. Before using them in your research, please check them against the original software or textbook and with your advisor.