Science & Engineering

P-Value Calculator (z-test and t-test)

Finds the p-value for a z-test or t-test. Enter the test statistic, choose one or two tails, set the degrees of freedom for t-tests, and get the p-value with a significance verdict.

How to use
  1. Enter your test statistic.
  2. Pick a z-test or a t-test, and set degrees of freedom for the t-test.
  3. Choose one-tailed or two-tailed.
Try
p-value
0.0455

Decision
Statistic
z = 2.000
Distribution
Standard normal
For study and estimation. Verify against authoritative data before relying on a result.
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How it's calculated

p = 2 × [1 − F(|stat|)] (two-tailed)

stat = test statistic, F = cumulative distribution of the standard normal (z-test) or Student's t with df degrees of freedom. One-tailed: p = 1 − F(stat). Reject H₀ when p ≤ α.

Reference ranges

P-valueCommon reading
Below 0.01Strong evidence against the null
0.01 to 0.05Significant at the usual 0.05 level
Above 0.05Not significant at 0.05

Common questions

What does the p-value mean?

It is the probability of seeing a result at least as extreme as yours if the null hypothesis were true. A small p-value suggests the null is unlikely.

Should I use one-tailed or two-tailed?

Use two-tailed when you only care that there is a difference in either direction, and one-tailed when you have a specific direction predicted in advance.