I do agree that science is an evidence based progress, because for all the progress that have been done in world history, there had been a path to follow. Since investigations about a theory or a hypotesis to experiment to prove that a claim is true or discover new things.
Psychology can be classified under science. This is a study that is not solely based on evidence but what people believe, the way they behave and how they feel. This is subjective and cannot always have concrete evidence as emotional and metal factors play a role.