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Statistical significance

In statistical hypothesis testing, **statistical significance** (or a **statistically significant** result) is attained when a p-value is less than the significance level (denoted α, alpha). The *p*-value is the probability of obtaining at least as extreme results given that the null hypothesis is true whereas the significance level α is the probability of rejecting the null hypothesis given that it is true. Equivalently, when the null hypothesis specifies the value of a parameter, the data are said to be statistically significant at given confidence level γ = 1 − α when the computed confidence interval for that parameter *fails* to contain the value specified by the null hypothesis.

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