Hypothesis Test Acceptance Region
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An Hypothesis Test Acceptance Region is a numeric interval that determines a failure to reject the null hypothesis.
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- Counter-Example(s):
- See: Statistic, Acceptance Decision.
References
2011
- http://en.wikipedia.org/wiki/Statistical_hypothesis_testing#Definition_of_terms
- Region of acceptance: The set of values for which we fail to reject the null hypothesis.
2008a
- (Dodge, 2008) ⇒ Yadolah Dodge. (2008). “Rejection Region.” In: (Dodge, 2008).
- QUOTE: The acceptance region is the interval within the sampling distribution of the test statistic that is consistent with the null hypothesis [math]\displaystyle{ H_0 }[/math] from hypothesis testing. It is the complementary region to the rejection region.
The acceptance region is associated with a probability 1 - a, where a is the significance level of the test.
- QUOTE: The acceptance region is the interval within the sampling distribution of the test statistic that is consistent with the null hypothesis [math]\displaystyle{ H_0 }[/math] from hypothesis testing. It is the complementary region to the rejection region.
2008b
- (Dodge, 2008) ⇒ Yadolah Dodge. (2008). “Rejection Region.” In: (Dodge, 2008).
- QUOTE: The rejection region is the interval, measured in the sampling distribution of the statistic under study, that leads to rejection of the null hypothesis [math]\displaystyle{ H_0 }[/math] in a hypothesis test. The rejection region is complementary to the acceptance region and is associated to a probability [math]\displaystyle{ a }[/math], called the significance level of the test or type I error.
2008c
- (Upton & Cook, 2008) ⇒ Graham Upton, and Ian Cook. (2008). “A Dictionary of Statistics, 2nd edition revised." Oxford University Press. ISBN:0199541450