gen-in-3-4-sentences-explain-hypothesis-testing-state-any-key-fo-081d

In 3-4 sentences, explain hypothesis testing. State any key formula.

# Hypothesis Testing Explanation **Hypothesis testing** is a statistical method used to make decisions about population parameters based on sample data. It involves stating a null hypothesis (H₀) that represents no effect or no difference, and an alternative hypothesis (H₁) that represents what we're testing for, then using sample data to determine whether there's sufficient evidence to reject the null hypothesis. The key decision is based on the **test statistic**, which for a population mean follows the formula: **z = (x̄ - μ₀) / (σ/√n)** or **t = (x̄ - μ₀) / (s/√n)** where x̄ is the sample mean, μ₀ is the hypothesized population mean, σ is the population standard deviation (or s for sample standard deviation), and n is the sample size. We reject H₀ if the test statistic falls in the critical region or if the p-value is less than the significance level (α).