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2026-01-12 11:18:59 -05:00
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@@ -16,7 +16,7 @@ title: Statistical Significance
> a result has statistical significance
> when a result at least as "extreme"
> would be very infrequent if the null hypothesis were true.
>
>
> More precisely,
> a study's defined **significance level**, denoted by $\alpha$,
> is the probability of the study rejecting the null hypothesis,
@@ -26,21 +26,21 @@ title: Statistical Significance
> given that the null hypothesis is true.
> The result is said to be statistically significant,
> by the standards of the study, when $p \leq \alpha$
>
>
> The significance level for a study
> is chosen before data collection,
> and is typically set to 5% or much lower---
> depending on the field of study.
>
>
> The [**null hypothesis**](https://en.wikipedia.org/wiki/Null_hypothesis)
> (often denoted $H_{0}$)
> is the claim that the effect being studied does not exist,
> or that no relationship exists
> between two sets of data or variables being analyzed.
>
>
> If the null hypothesis is true,
> any experimentally observed effect is due to chance alone.
>
>
> In research,
> the researcher develops an [**alternative hypothesis**](https://en.wikipedia.org/wiki/Alternative_hypothesis)
> (often denoted $H_{A}$ or $H_{1}$)