Expected Frequencies (E=n·p) Explained | Goodness-of-Fit Statistics Guide

Learn how to calculate Expected Frequencies for Goodness-of-Fit tests using the formula E = n·p! 🎲 In this statistics tutorial, we break down the core concepts behind the Null Hypothesis (H₀) and how to determine what data you *should* see if everything is normal. Whether you're analyzing dice rolls, genetic ratios, or survey results, understanding Expected Frequencies is the first step to mastering the Chi-Square test. We'll cover: ✅ The definition of Goodness-of-Fit ✅ How to identify 'n' (Sample Size) and 'p' (Probability) ✅ Real-world examples like fair dice and color preferences ✅ Comparing Observed vs. Expected values Perfect for students in AP Statistics, Psychology, Biology, or anyone learning data analysis basics! 📊 #Statistics #ChiSquare #GoodnessOfFit #Probability #MathHelp #DataAnalysis #Education Chapters: 00:00 - Expected Frequencies in Goodness-of-Fit 00:18 - What is a Goodness-of-Fit Test? 00:38 - The Null Hypothesis (H₀) 01:00 - Calculating Expected Frequency 01:17 - Understanding 'n' (Sample Size) 01:32 - Understanding 'p' (Probability) 01:50 - Example 1: Is the Die Fair? 02:05 - Calculating Expected Frequency (Die) 02:28 - Example 2: Red vs. Blue Preference 02:45 - Calculating Expected Frequency (Colors) 03:00 - Observed (O) vs. Expected (E) 03:19 - Summary 03:40 - Outro 🔗 Stay Connected: ▶️ YouTube: https://youtube.com/@thecodelucky 📱 Instagram: https://instagram.com/thecodelucky 📘 Facebook: https://facebook.com/codeluckyfb 🌐 Website: https://codelucky.com ⭐ Support us by Liking, Subscribing, and Sharing! 💬 Drop your questions in the comments below 🔔 Hit the notification bell to never miss an update #CodeLucky