Offering perspectives in the teaching of statistics assists students, immersed in the study of detail, to see the leading principles of the subject more clearly. Especially helpful can be a perspective on the logic of statistical inductive reasoning. Such a perspective can bring to prominence a broad principle on which both interval estimation and hypothesis testing are designed, and so can unify these seemingly disparate techniques in students' minds. In this paper it is shown how to construct an illuminating perspective over this unifying principle, that experience shows is valued by intellectually lively students. To aid readers attracted by the idea of employing this perspective in their teaching, the paper includes a skeletal version of a recommended line of presentation.