Definition:Hypothesis (Inductive Statistics)
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Definition
- Context
- Inductive statistics
A hypothesis is a statement about a population parameter.
Null Hypothesis
In the context of a hypothesis test, the null hypothesis, usually denoted $H_0$ or $\mathrm H_0$, is the hypothesis which has been proposed for investigation.
Alternative Hypothesis
In the context of a hypothesis test, the alternative hypothesis, usually denoted $H_1$ or $\mathrm H_1$, is the hypothesis which is to be accepted if the null hypothesis is demonstrated not to hold.
Sources
- 2002: George C. Casella and Roger L. Berger: Statistical Inference (2nd ed.) ... (next): $8.1$: Introduction: Definition $8.1.1$