# An example of application of optimal sample allocation in a finite population

## TL;DR

This paper demonstrates an application of a new sample allocation method for estimating proportions in finite populations, showing how it can reduce variance compared to standard methods.

## Contribution

It introduces a novel sample allocation approach for stratified finite population proportion estimation and compares its variance to traditional methods.

## Key findings

- Proposed sample allocation reduces estimator variance.
- Variance comparison favors the new method over standard allocation.
- Application example illustrates practical benefits.

## Abstract

The problem of estimating a proportion of objects with particular attribute in a finite population is considered. This paper shows an example of the application of estimation fraction using new proposed sample allocation in a population divided into two strata. Variance of estimator of proportion which uses proposed sample allocation is compared to variance of the standard one.