For K-12 Students · Hypothesis Test
Hypothesis Test for a defect rate
Built for k-12 students learning it in middle or high school. Watch the idea come alive with plain-language steps and everyday examples — perfect for projects and homework. Simulate a defect rate live below — adjust the inputs and watch it respond, right in your browser.
Hypothesis Test (z-test)Live
p-values & rejection regions
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A hypothesis test asks whether a sample mean is far enough from the null value to be surprising by chance alone. The test statistic z measures that distance in standard errors; if it falls in the red rejection region (p below 0.05) we reject the null. Larger samples shrink the standard error and sharpen the test.
Data Inspector
Standard error1.265
z-statistic1.581
p-value0.1138
Decisionfail to reject
Governing equation
Reading this result: The statistic sits in the white central zone, so the gap between x̄ and μ₀ is within ordinary sampling noise and you fail to reject H₀.
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Frequently asked questions
- Is this good for k-12 students?
- Yes — this version of "Hypothesis Test for a defect rate" is framed for k-12 students learning it in middle or high school. Watch the idea come alive with plain-language steps and everyday examples — perfect for projects and homework.
- Do I need to install anything?
- No. It runs in any modern browser, free, with no account required.