  Methods are developed for eliciting a Dirichlet prior based upon bounds on
the individual probabilities that hold with virtual certainty. This approach to
selecting a prior is applied to a contingency table problem where it is
demonstrated how to assess the bias in the prior as well as how to check for
prior-data conflict. It is shown that the assessment of a hypothesis via
relative belief can easily take into account what it means for the falsity of
the hypothesis to correspond to a difference of practical importance and
provide evidence in favor of a hypothesis.
