Statistics 9 min read

P-Value Explained Simply: What Does a P-Value Mean in Hypothesis Testing?

Understand p-values in statistical hypothesis testing. Learn significance levels (alpha = 0.05), null hypothesis rejection, and t-test vs z-test interpretations.

Table of Contents

What Is a P-Value?

A p-value (probability value) is a number between 0 and 1 that measures the strength of evidence against the null hypothesis (H₀) in a statistical test.

How to Interpret P-Values

  • Small p-value (≤ 0.05): Strong evidence against H₀. Reject the null hypothesis — the result is statistically significant.
  • Large p-value (> 0.05): Weak evidence against H₀. Fail to reject the null hypothesis — the observed difference could be due to random chance.

Common Significance Level (Alpha)

In most scientific fields, the standard significance threshold (alpha α) is set to 0.05 (5%).

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Reviewed by Applied Math Specialists • Editorial Policy
Updated: August 11, 2026

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