• Skip to main content
  • Skip to primary sidebar
  • Accounting
  • Banking
  • Business
  • Statistics
  • Economics
  • Finance
  • HR
  • Law
  • Marketing
business-jargons-site-logo

Business Jargons

A Business Encyclopedia

Sampling Distribution of Proportion

Definition: The Sampling Distribution of Proportion measures the proportion of success, i.e. a chance of occurrence of certain events, by dividing the number of successes i.e. chances by the sample size ’n’. Thus, the sample proportion is defined as p = x/n.

The sampling distribution of proportion obeys the binomial probability law if the random sample of ‘n’ is obtained with replacement. Such as, if the population is infinite and the probability of occurrence of an event is ‘π’, then the probability of non-occurrence of the event is (1-π).  Now consider all the possible sample size ‘n’ drawn from the population and estimate the proportion ‘p’ of success for each. Then the mean (?p) and the standard deviation (σp) of the sampling distribution of proportion can be obtained as:

Sampling distribution of proportion
?
p = mean of proportion
π = population proportion which is defined as π = X/N, where X is the number of elements that possess a certain characteristic and N is the total number of items in the population.
σp = standard error of proportion that measures the success (chance) variations of sample proportions from sample to sample
n= sample size, If the sample size is large (n≥30), then the sampling distribution of proportion is likely to be normally distributed.

The following formula is used when population is finite, and the sampling is made without the replacement:

Sampling distribution of proportion-2

Related terms:

  1. Sampling Distribution
  2. Sampling Distribution of Mean
  3. Sampling Distribution of Median
  4. Sampling Distribution of Standard Deviation
  5. Sampling Distribution of the Difference Between Two Means

Reader Interactions

Leave a Reply Cancel reply

Your email address will not be published. Required fields are marked *

Primary Sidebar

Top Searches

  • Communication Process
  • Planning
  • 7 C’s of Communication
  • Management
  • International Marketing
  • Business Strategy
  • Effective Communication
  • Insurance
  • Strategic Management
  • Selection Process

Trending Now

  • Group
  • Business
  • Accounting
  • Budget
  • Entrepreneurship
  • Journal
  • Leadership
  • Motivation
  • Communication
  • Stress

New Business Terms

  • Unique Selling Proposition (USP)
  • Bandwagon Effect
  • Bullwhip Effect
  • Crowdsourcing
  • Advertising Campaign Planning
  • Advertising Campaign
  • Consumer Cooperatives
  • Competency Mapping
  • Cluster Sampling
  • Integrated Marketing Communication (IMC)

Categories

  • Accounting
  • Banking
  • Business
  • Business Law
  • Business Statistics
  • Economics
  • Finance
  • HR
  • Marketing

Copyright © 2023 · Business Jargons · Contact Us · About Us · Privacy