P-value to Z-score Table — Common p ↔ z Mappings — GetCalcMaster
Quick reference: convert common p-values to z-scores (one‑tailed and two‑tailed) and back. Includes formulas and practical examples.
Need to translate a p-value into an equivalent z-score (or convert a z-score into a p-value)? This page provides a quick mapping for the most common values used in hypothesis testing.
Common p-value ↔ z mappings
Two-tailed mapping: |z| = Φ^{-1}(1 − p/2). One-tailed mapping: z = Φ^{-1}(1 − p).
| p | |z| (two-tailed) | z (one-tailed) |
|---|---|---|
| 0.2 | 1.2816 | 0.8416 |
| 0.1 | 1.6449 | 1.2816 |
| 0.05 | 1.96 | 1.6449 |
| 0.02 | 2.3263 | 2.0537 |
| 0.01 | 2.5758 | 2.3263 |
| 0.005 | 2.807 | 2.5758 |
| 0.002 | 3.0902 | 2.8782 |
| 0.001 | 3.2905 | 3.0902 |
Common z-scores → p-values
| |z| | p (two-tailed) | p (one-tailed) |
|---|---|---|
| 1.282 | 0.2 | 0.1 |
| 1.645 | 0.1 | 0.05 |
| 1.96 | 0.05 | 0.025 |
| 2.326 | 0.02 | 0.01 |
| 2.576 | 0.01 | 0.005 |
| 3.09 | 0.002 | 0.001 |
| 3.291 | 0.001 | 0 |
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