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Is a sample of 500 volunteers a reliable measure for a population of 2,500?

Short Answer

Expert verified

Yes, for a population of 2500people, a sample size of500volunteers is a reliable metric.

Step by step solution

01

Introduction

When estimating unknown parameters, larger sample numbers often lead to greater precision. The rule of big numbers and the central limit theorem are two important principles of mathematical statistics that characterize this phenomena.

02

Explanation

A sample size of at least 10%of the population size is required.

Given a population of 2500people, the 10%would be 250.

As a result, a sample size of 250is a good estimate of the population parameter. Any sample size more than 250is also a good indicator.

For a population of 2500, a sample size of 500is a valid metric.

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