---
url: "https://questionstar.com/principles-of-survey-research/chapter-4/slide-149.html"
title: "Correction for a small population: ± 5 %"
type: "lehrbuch-slide"
chapter: 4
chapterTitle: "Sampling"
slide: 149
---

# Correction for a small population: ± 5 %

*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 / 0.05)² = 20²

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

→

Corrected

n ~corr = (400 · 100) / (400 + 100 − 1) = 40.000 / 499

≈ 80

Calculations show approximate values for a 95% confidence level

---

*Slide 149 of 274 · Chapter 4: Sampling · Principles of Survey Research · Dr. Paul Marx*