Question
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
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.
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