What is Hypothesis Testing?

Statistics · Axiom Academy

INTRO What is Hypothesis Testing? Discover how statisticians make decisions about populations using sample evidence. Imagine you want to know the average height of all students at a university with 30,000 students. You can't measure everyone! So you measure a smaller group instead. Watch what happens as you adjust the sample size. Hypothesis testing works like a trial. In court, we assume someone is innocent until proven guilty . In statistics, we assume our claim is false until the evidence says otherwise . Adjust the evidence strength to see how the verdict changes! A coffee shop claims their average wait time is 5 minutes. You suspect it's longer! You collect data from random visits. Watch as we analyze whether there's enough evidence to challenge their claim. Populations are usually too large to measure completely, so we take a sample and use it to make inferences about the whole population. We start with a null hypothesis (default assumption) and only reject it when we have strong evidence from our sample. This is like a courtroom presumption of innocence. We collect data, calculate statistics, and use tools like p-values to determine if our evidence is strong enough to challenge the null hypothesis. Hypothesis testing gives us a systematic way to make decisions about populations when we only have sample data. It's how we turn data into actionable insights!

This is the written version of the interactive lesson above. See the full Statistics course.