This paper presents a hypothesis-driven approach to improving AI-assisted decision making, based on the evaluative AI paradigm (a conceptual framework that provides users with evidence supporting or refuting a given hypothesis). By extending the weight-of-evidence framework to implement evaluative AI, we propose a hypothesis-driven model that supports both tabular and image data. We demonstrate the application of this novel decision support approach in two areas: housing price prediction and skin cancer diagnosis, demonstrating promising results that enhance human decision making and provide insight into the strengths and weaknesses of various decision support approaches.