I have two independent groups A and B. Each participant is given 5 questions to solve and his/her answer is evaluated as correct or incorrect.
However, participants can skip questions, so the number of attempted questions for each participant varies.
So, I end up with the data below:
Group # of correct answers # of attempted answers Correct Ratio p1 A 3 5 0.6 p2 A 2 4 0.5 p3 B 1 1 1.0 p4 B 1 3 0.33 ......
I want to test the whether the answers' correctness is different between group A and B. Which statistical test should I use?
Currently I simply count the total # of attempted answers and # of correct answers for all people from group A and B, say 90/100 vs 75/90, and use proportion test (in R as prop.test). But I don't know whether it is appropriate?