This is documentation for Mathematica 8, which was
based on an earlier version of the Wolfram Language.
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# AlternativeHypothesis

 AlternativeHypothesis 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
Perform a two-sided test for location:
The setting is chosen by default:
Perform one of the two one-sided alternatives:
Perform a two-sided test for location:
 Out[2]=
The setting is chosen by default:
 Out[3]=

Perform one of the two one-sided alternatives:
 Out[2]=
 Out[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:
New in 8