For obvious reasons, ordering the evacuation, in conjunction with criteria such as which side and which doors is the Captain's job, or if the Captain is incapacitated, the First Officer. They will have access to far more data than the cabin crew will (e.g. whether the engines are safely shut down, circumstances on the ground thanks to radio contact etc.).
The Cabin Crew will not make the decision themselves unless they have been unable to establish contact with the cockpit (i.e. both flight crew incapacitated). In normal circumstances the Cabin Crew are only there to action the Flight Crew's orders.