Statistics Project Problem

Hello, This is Tyler Garrett. I have recently conducted a statistics project in
which I took a brief survey of 6 questions to 10 random, different people
(although some slight convenience bias may have contributed). Of the 6 questions they can be broken down into 3 distinct categories of which 2 questions each relate to Geography, Politics, and "trick questions" (non-response bias accounted for people who declined the survey). My null hypotheses is:
Ho: Half of the population will know the right answer on each of the different
questions, so the outcome will be 50% for each question.
and my alternative is:
Ha: There will be more people that get each question wrong than right, we
predict about a 75% response towards the wrong answer.
However, I have encountered a dilemma in my ability to interpret the data. I am not sure whether a Z-Test T-Test (or 2-sample test for either Z or T) would be the most appropriate (I ruled out a chi-test, since it did not seem applicable). Furthermore, I am not sure how I would carry out such a test because I am not sure what type of data to get the population from. The questions I asked were of my own design, so there is not a population of data for these specific questions in existence. This is why I am having trouble determining what I am trying to estimate. I would suppose that my survey would be comparing the answers I received to some sort of population such as how much general knowledge people have? Such as IQ test, or knowledge retained after high school (since most of
these questions are not out of the reach of the "average" American knowledge base). The questions are
1. Where is Mongolia (geography) 2. Who is the Secretary of State (politics) 3. Who is the Vice President (politics)
4. Where is East Virginia (geography)
5. Should we support North Korea, as
allies, bring down the tyrannical South Korea (trick questions)
6. Do you think Lebron James, quarterback for the Arizona Cardinals, can bring home the Stanley Cup (trick question)

Out of the 60 questions overall (6 questions, 10 people) 23 answers were
correct (1/3 got questions right), 37 incorrect answers (2/3 got questions
wrong). My project is due on Monday, May 6th. Any help would be appreciated, thank you very much.