Test Statistics

Statistics · Axiom Academy

Understanding How We Standardize Sample Results for Hypothesis Testing 2 How Test Statistics Standardize Results Observed Value: What we measured in our sample (e.g., sample mean x̄) Expected Value: What we expect under the null hypothesis (e.g., μ₀) Standard Error: The variability of the sampling distribution μ₀ = hypothesized population mean (null hypothesis value) σ = population standard deviation (known) μ₀ = hypothesized population mean s = sample standard deviation (estimated from data) 5 Test Statistics and Sampling Distributions The z-statistic follows a standard normal distribution (mean = 0, SD = 1) The t-statistic follows a t-distribution with n-1 degrees of freedom

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