5.4Hypothesis Testing---I

• We wish to test a specific hypothesis (referred to as null hypothesis) against a set of possible other hypotheses.

• In goodness of fit analysis, we test (= hypothesis that data described by claimed theory with parameters found from maximizing L) against ``all'' other hypotheses.

• If we are trying to find type of a particle then

  might be particle is an electron,

  , that is a pion and these could be only possibilities.