Testing Statistical Hypotheses Statistical Theory Victor Panaretos Ecole Polytechnique F´ed´erale de Lausanne Statistical Theory (Week 10) Hypothesis Testing 1 / 19 1 Contrasting Theories With Experimental Evidence 2 Hypothesis Testing Setup 3 Type I vs Type II Error 4 The Neyman-Pearson Setup 5 Optimality in the Neyman Pearson Setup Statistical Theory (Week 10) Hypothesis Testing 2 / 19 Using Da