For one of my orientation safety presentations, which are normally in a small group or one-on-one, I engage the person in a conversation about the material rather than have a formal lecture. This presentation contains good work habits, ladder safety, PPE, fire prevention, and emergency preparedness.
To verify the training, I have a checklist of the topics that were presented, a box to check that they learned the information, and place where I state what I base my assessment on. Usually I say that I it is based on personal interaction. But at the end, I know that they understand the content and it is documented.
This is not as easy with a larger group, but if you engage everyone in the larger group, and make sure that you are monitoring their responses, you can use a non-written assessment format.
Another problem is that we have a multi-language work force. Some of the people are not fully literate in their original language. So giving evidence that they learned something is not always best done with a written test, since some have problems reading the test, even when it is in their home language. So some creativity is needed at times.
"...everything can be taken from a man but one thing: the last of the human freedoms--to choose one's attitude in any given set of circumstances, to choose one's own way." Viktor E. Frankl
"Life's like a movie, write your own ending." The Muppets