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A capital H with a subscript one, naming the hypothesis accepted if the null is rejected.
Also known as: H one, Alternative hypothesis symbol
H₁ — sometimes written Hₐ — is the claim a test is looking for: that there is an effect, a difference, a relationship. It is defined as the complement of the null, so the two together cover every possibility.
Denotes the alternative hypothesis: the proposition accepted if the evidence is strong enough to reject the null.
Contexts: Mathematics
Written H₁ or Hₐ with no difference in meaning. Whether it is one-sided or two-sided must be stated separately, and changing that after seeing the data invalidates the test.
A capital letter H followed by a small numeral one set below the line.
Defined as the complement of the null hypothesis.