# How to interpret 'e' in Yamane's Formula?

If I use e=0.05, and from Yamane's formula I obtain, say, a sample size of 300 from given population size. Now, for instance, I obtain some descriptive statistics from the sample size such as the mean value of educated farmers is 20%. Can I interpret 'e' in this context is as I am 95% confident that the mean of the educated farmers in the population is 20%. or interchangeably, on average the number of educated farmers in the population is 20% (+ - 5%): i.e, (20%+5%) & (20% -5%). so technically between 15% and 25%.

The formula I used is:n = N/(1+N (e)^2)

n =  sample size
N = Total population size
e = precision level 5% (0.05):


Or does that mean, ' the sample size of 300 (±5%) truly/accurately represents the given population size?

• Please edit your question to give & explain the formula you're referring to. (It's entirely possible that someone writes it with f instead of e, or uses e for another variable). Commented Sep 12, 2021 at 13:51
• Hello Monica, I have added a photo of the formula, I am not sure If it is visible to you or not? Commented Sep 12, 2021 at 14:13
• That hasn't worked. In any case, I'd suggest typing the formula, using LaTeX if you know it - for the sake of visually impaired people using screen readers, among other reasons. Commented Sep 12, 2021 at 14:19

e=0.05 transforms a sample's value to ±5% of the population's value.
This is how e is interpreted in Yamane/Cochran formulae. See the excerpt and reference below for an explanation on the error margin's use and interpretation.