P-Value

Calculate p-values for statistical hypothesis testing

How to use P-Value

  1. 1Enter your test statistic and degrees of freedom (or the effect size and sample size).
  2. 2Select the tail type: one-tailed or two-tailed.
  3. 3Read the p-value and whether the result is significant at your chosen alpha.

Understanding p-values

p = P(test statistic ≥ observed | H0 true)

A p-value is the probability of seeing results at least as extreme as yours if the null hypothesis were true.

A small p-value (below your alpha, often 0.05) suggests the observed effect is unlikely under the null, so you reject H0.

Frequently asked questions

Does p < 0.05 prove my theory?

No, it only argues against the null; it is not the probability that your theory is true.

One-tailed vs two-tailed?

Two-tailed splits the alpha on both ends; use one-tailed only with a pre-stated direction.

What is alpha?

The significance threshold you set beforehand, commonly 0.05, controlling false-positive rate.

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