is an option for hypothesis testing functions like LocationTest that specifies the alternative hypothesis.
- For a hypothesis test with test statistic , AlternativeHypothesis can be used to test the null hypothesis against particular alternatives .
- Typical settings include:
"Unequal" and "Less" and "Greater" and
- For functions using AlternativeHypothesis, a two-sided test is performed by default.
Examplesopen allclose all
Basic Examples (2)
Properties & Relations (3)
The -value from a two-sided test is twice the smaller one-sided -value:
The interpretation of a two-sided test:
The -value can be interpreted as an area under the distribution of the test statistic:
Interpretation of both one-sided alternatives:
The areas are equivalent to the -values returned by the test:
Wolfram Research (2010), AlternativeHypothesis, Wolfram Language function, https://reference.wolfram.com/language/ref/AlternativeHypothesis.html.
Wolfram Language. 2010. "AlternativeHypothesis." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/AlternativeHypothesis.html.
Wolfram Language. (2010). AlternativeHypothesis. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/AlternativeHypothesis.html