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๐Ÿงช P-Value Calculator

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The p-value is the probability of seeing a result at least this extreme if nothing were really going on. From your z-score, this calculator finds the two-tailed area under the bell curve โ€” the standard yardstick of statistical significance.

The usual bar is p < 0.05: below it, researchers call the result statistically significant; above it, the evidence is too weak to rule out chance. The calculator labels your result against the 1%, 5% and 10% levels automatically.

How to use this calculator

Type your z-score and press Calculate for the two-tailed p-value and its significance reading.

  1. Type the z-score from your test.
  2. Press Calculate.
  3. Read the two-tailed p-value.
  4. Check the interpretation line for the 1, 5 and 10 percent significance levels.

Frequently asked questions

What does this p-value calculator compute?

It converts a z-score into a two-tailed p-value using the standard normal distribution, via a precise error-function approximation, and labels the result against common significance levels.

Can you show a worked example?

A z-score of 1.96 gives a p-value of 0.05, significant at the 5 percent level. A z of 2.576 gives 0.01, highly significant. A z of 0 gives exactly 1.

What does the p-value actually mean?

It is the probability of seeing a result at least this extreme if there were really no effect. Small values argue against that no-effect explanation; they are not the probability that your hypothesis is true.

Why two-tailed?

Two-tailed counts extremes in both directions, the standard default when you did not predict the direction in advance. A one-tailed value for the same z would be exactly half.