MathCalcLab

Hypothesis Testing

Perform one-sample z- and t-tests with test statistics, p-values, and decisions

Hypothesis Test Setup

Results

Enter values and click Calculate to see the result.

Theory & Formula

Hypothesis Testing

Hypothesis testing is a statistical method for making decisions about population parameters based on sample data.

Steps

  1. State the null hypothesis (H₀) and alternative hypothesis (Hₐ)
  2. Choose the significance level (α)
  3. Calculate the test statistic
  4. Determine the p-value
  5. Make a decision: reject H₀ if p-value < α

Z-test formula

\(z = \frac{\bar{x} - \mu_0}{\sigma / \sqrt{n}}\)
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