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Confidence Intervals

Means vs Proportions

Learning Objectives

In this section, we will introduce the concept of estimating population proportions and understand how these different from population means.

Two Population Parameters to Estimate

ln this chapter, there are two population parameters that we will be investigating using sampling. They are:

  1. The true mean (or average) of a population, also symbolically known as μ, and
  2. The true proportion of a population, also symbolically represented by p.

In the first five sections, we estimated the true mean of a population when σ was known and unknown. The remaining sections in this chapter refer to estimating the true proportion of a population (p).

The Difference Between a Population Mean and Proportion

The difference between a population mean and population proportion is quite simple. We are calculating a true mean, µ, when dealing with a measured variable, i.e., something that can be physically measured to a desired degree of precision. Variables of this type are called quantitative variables.

We are trying to understand the true percentage, p, when trying to measure a fraction of population or true proportion of a population. Variables or columns in the data where we record which trait, or category, a person or item belongs to, are called categorical variables.

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An Introduction to Business Statistics for Analytics (1st Edition) Copyright © 2024 by Amy Goldlist; Charles Chan; Leslie Major; Michael Johnson is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License, except where otherwise noted.

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