Depending on the level of detail for this quiz result you may actually want to use a partial. In which case the syntax would be:
<%= render :partial => 'quiz/results', :locals => { :quiz => @quiz } %>
If it's relatively simple and you think it should be in a helper you should make simply make quiz a parameter. Requiring views to provide a specific instance variable to use your helper would likely be frowned upon by other developers.
def quiz_result(quiz) # no need to call it "current" when we supply quiz
# do some stuff
end
It also looks to me that you may want to restructure your models in some way. As you can see I implemented my examples with a Quiz class. I'm not sure what your data model looks like but when you are calling properties that are nested that deep it's generally a sign that something is wrong.