4. In a scholarly article from the Journal of Statistics Education, entitled Pig Data and Bayesian Inference on Multinomial Probabilities, the author states that the pig landed on its right side 4172 times out of 11,954 tosses. We will construct a 90% confidence interval for the population proportion of tosses of a pig die in which the pig lands on its right side. a) Are the criteria for approximate normality met? b) What is the sample proportion of times the pig landed on its right side? c) What is the critical value which corresponds to a 90% level of confidence?

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