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. d) Compute the margin of error. e) Give the confidence interval. f) Provide an interpretation of the confidence interval in context.

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A: The given data is as follows:The 90% confidence interval is The hypothesis is