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Normal p-value calculator

Find left, right, and two-sided normal p-values, or invert a selected probability.

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  1. Use the example values or enter your own measurements.
  2. Calculate, then copy the result or download the available details.

Example

Input

z = 2.36

Expected result

Two tails ≈ 0.018275

Try it

Good to know

The calculation runs in your browser. Use consistent units in fields with no explicit unit.

Calculation method

For a normal test statistic, the two-sided p-value is twice the upper tail at |z|. The definition of the tail should match the alternative hypothesis.

ptwo tails=2[1−Φ(∣z∣)]p_{\mathrm{two\ tails}}=2[1-\Phi(|z|)]

Calculation mode

Z-score to probabilities
  • Z-score
Probability to Z-score
  • Probability region · Left-tail probability / Right-tail probability / From the center to |z| / Between −|z| and |z| / Two-tail probability
  • Probability