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P-Value

The probability of observing results at least as extreme as the actual results, assuming the null hypothesis is true, used to assess the strength of evidence against the null hypothesis in statistical testing.

The p-value quantifies how surprising your data is under the assumption that there is no real effect. A p-value of 0.03 means there is a 3% probability of seeing a result this extreme (or more extreme) if the null hypothesis were true. It does not mean there is a 3% probability that the null hypothesis is true; this is a common and important misconception.

In practice, p-values below 0.05 are conventionally considered statistically significant, though this threshold is arbitrary. A p-value of 0.049 and 0.051 represent nearly identical evidence, yet one crosses the threshold and the other does not. This binary interpretation has led to calls for more nuanced statistical reporting, including confidence intervals and effect sizes.

For growth teams running A/B tests, understanding p-values prevents costly decision errors. A very small p-value (0.001) with a large effect size is strong evidence for shipping a change. A borderline p-value (0.04) with a small effect size might not justify the engineering cost of implementation. Bayesian alternatives provide more intuitive probability statements and are increasingly popular in modern experimentation platforms.

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