A procedure was developed within hypothesis-testing logic that allows researchers to support a hypothesis that has traditionally been the statistical or null hypothesis. Four activities involved in attainment of this goal were discussed: (1) development of statistical logic needed to define the sampling distribution associated with the hypothesis to be supported; (2) examination of the role of Type I and II errors and power; (3) definition of effect size; and (4) generation of critical values on noncentral sampling distributions of a test statistic. Differences between the traditional procedure of rejecting the null hypothesis and the new procedure allowing support of hypotheses were discussed. Specifically, the new procedure specifies that the researcher must choose a trivial effect size; that the level of significance the experimenter controls for is the Type II (not Type I) error rate; and that a noncentral sampling distribution is defined by the index of effect size and the degrees of freedom upon which the critical region is located. (Author/RD)