Dictionary.net

based primarily on surmise rather than adequate evidence; "theories about the extinction of dinosaurs are still highly conjectural"; "the supposed reason for his absence"; "suppositious reconstructions of dead languages"; "supposititious hypotheses"

designed to; "medication that is supposed to relieve pain"; "what's that gadget supposed to do?"

firmly believed; "the way things are supposed to be"

based primarily on surmise rather than adequate evidence; "theories about the extinction of dinosaurs are still highly conjectural"; "the supposed reason for his absence"; "suppositious reconstructions of dead languages"; "supposititious hypotheses"

designed to; "medication that is supposed to relieve pain"; "what's that gadget supposed to do?"

firmly believed; "the way things are supposed to be"

Thought to be true; imagined: often with the idea of false belief.

Supposedly.