---
url: "https://questionstar.com/principles-of-survey-research/chapter-4/slide-150.html"
title: "Correction for a small population: ± 10 %"
type: "lehrbuch-slide"
chapter: 4
chapterTitle: "Sampling"
slide: 150
---

# Correction for a small population: ± 10 %

*Calculations show approximate values for a 95% confidence level*

![n ≈ (1/E)²](/principles-of-survey-research/media/formel_n_e2.png)

ncorr=n · Nn + N − 1

Computationally required

n = (1 / 0.1)² = 10²

… with only **N = 100** elements in the population.

→

Corrected

n ~corr = (100 · 100) / (100 + 100 − 1) = 10.000 / 199

≈ 50

Calculations show approximate values for a 95% confidence level

---

*Slide 150 of 274 · Chapter 4: Sampling · Principles of Survey Research · Dr. Paul Marx*