Believe it or not, check airman can be wrong.
In your situation:
maintain control of the aircraft (trim for best glide)
turn towards pre selected emergency field
attempt re-start (light plane, mixture rich, carb heat on, switch fuel tanks etc)
send mayday with position and intention (crashing in farmer's field 10 west of buckingham palace)
tighten seat belt and PRETEND YOUR FIELD IS A wonderful runway.
Pray.
Now, if you know what is wrong, like you just switched fuel tanks and the engine quit, you can amend this.
I've only declared one emergency, a medical emergency for a passenger (9 year old boy) who found out he was allergic to peanuts on his first jet flight.
We didn't say , "mayday", we said: we are declaring a medical emergency request radar vector to outer marker at Pittsburgh, priority handling and have paramedics at gate.
all went well. and NO PAPERWORK!