2) In an article titled "Tatoos Becoming More Accepted at Work", CBS News reported in 2007 that 23% of college students were tattooed. Let's use this as a hypothesis for the proportion the population of LMC students who are tattooed. a) Suppose we randomly select 30 LMC students and find that about 33% are tattooed (10 out of 30). Is this an unusual result if our hypothesis is true? How do you know? b) Verify that a normal model is NOT a good fit for the distribution of sample proportions in this situation. c) Because the normal model is not a good fit, we must use a simulation to estimate probabilities. Conduct a coin-flipping simulation in StatCrunch to answer the following question: What is the probability that 33% or more are tattooed in a random sample of 30 if our hypothesis is true? Explain how you used the results of the simulation to estimate the probability. Include enough information about the set-up of the simulation that someone else could replicate your work