P-value calculator

Get p-value from z for one-tailed or two-tailed test

P-value — probability of observing a result as or more extreme than the one obtained, if the null hypothesis is true. From z-score.

Parameters

Standardized deviation from the mean

Assumptions and limitations

  • z = 1.645 → p = 0.10 (two-tailed)
  • z = 1.96 → p = 0.05 (two-tailed)
  • z = 2.576 → p = 0.01 (two-tailed)
P-value
Enter z-score

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Examples: z-score and p-value

1 z = 1.96 (two-tailed)

95% confidence boundary
p ≈ 0.05 — at the significance boundary; at α = 0.05 the result is considered significant.

2 z = 2.5 (two-tailed)

Stronger deviation
p ≈ 0.012 — significant at α = 0.05 and α = 0.01; stronger evidence against the null hypothesis.

3 z = 3 (two-tailed)

Very strong deviation from H0
p ≈ 0.003 — high confidence in rejecting the null hypothesis.

4 z = 1.0 (two-tailed)

Weak deviation
p ≈ 0.32 — not significant at α = 0.05; the result could easily have occurred by chance.

5 z = 2.576 (two-tailed)

99% confidence boundary
p ≈ 0.01 — significant at α = 0.01; used for stricter conclusions.

6 z = 1.65 (one-tailed)

One-tailed test: only "greater" or only "less"
p ≈ 0.05 — for one-tailed the significance boundary at α = 0.05 corresponds to a smaller |z| than for two-tailed.

Frequently asked questions

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