A method of automatically applying a hypothesis test to a data set. The method reduces errors made in failing to appreciate predicate assumptions of various statistical tests, and elicits a series of indications from the user regarding characteristics of interest embodied by the data set to select an appropriate statistical test. The system also reduces errors in constructing competing null and alternative hypothesis statements by generating a characterization of the data and defining null and alternative hypotheses according to the indications, selected statistical test, and conventions adopted with respect to the tests. The system also establishes a significance level, calculates the test statistic, and generates an output. The output of the system provides a plain interpretation of the quantitative results in the terms indicated by the user to reduce errors in interpretation of the conclusion.