Probability and Proportions in Inference

learning_notes

Last updated: 8/16/2025

Key Concepts

  • Understanding Proportions: The ratio of a part to the whole, often expressed as a percentage.
  • Scaling Proportions: Applying a proportion from a sample to estimate the corresponding value in a larger group.

Skills Covered

  • Converting between fractions, decimals, and percentages.
  • Multiplying proportions by population size to estimate totals.

Example Problems

  • A sample of 120 students showed that 30 prefer online learning. Estimate how many of the 1,200 students in the school prefer online learning.
  • A survey found that 25% of 80 sampled residents prefer a new park development. Estimate how many of the 8,000 residents support the project.

Features

  • Aris - 1on1 AI tutor
  • Skills Tree
  • Improvement analytics
  • Error-Hacking Vault
  • Special topics
logoAris Tutor

ArisTutor is powered by a group of standardized test prep experts from top-tier colleges who aspire to help more students get high-quality ACT, AP and SAT prep resources at a fraction of the cost of premium tutors.

SAT® and AP® are trademarks registered by the College Board, which is not affiliated with, and does not endorse, this product.
ACT® is a trademark registered by the ACT, Inc, which is not affiliated with, and does not endorse, this product.