Definition: Simple and composite hypothesis
Index: The Book of Statistical Proofs ▷ General Theorems ▷ Frequentist statistics ▷ Statistical hypotheses ▷ Simple vs. composite
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Metadata: ID: D128  shortcut: hypsimp  author: JoramSoch  date: 20210319, 14:24.
Definition: Let $H$ be a statistical hypothesis. Then,

$H$ is called a simple hypothesis, if it completely specifies the population distribution; in this case, the sampling distribution of the test statistic is a function of sample size alone.

$H$ is called a composite hypothesis, if it does not completely specify the population distribution; for example, the hypothesis may only specify one parameter of the distribution and leave others unspecified.
 Wikipedia (2021): "Exclusion of the null hypothesis"; in: Wikipedia, the free encyclopedia, retrieved on 20210319; URL: https://en.wikipedia.org/wiki/Exclusion_of_the_null_hypothesis#Terminology.
Metadata: ID: D128  shortcut: hypsimp  author: JoramSoch  date: 20210319, 14:24.