If you think that convincing your bosses is all about providing them with Just the facts, ma'am then think again. It's as much about how you present those facts that matters. There is a difference between information and intelligence. Information is a collection of unprocessed facts. Intelligence is the result of skillful analysis of that information which then provides you with conclusions and suggested courses of action. You should be providing that intelligence and presenting your 'facts' as a body of evidence for the conclusions your boss should be drawing.
I will talk about analysis and presentation further in future posts, but one of the useful skills I employ in order to turn information (data) into intelligence, is a powerful spreadsheet package which is almost certainly already sitting on your desktop.