Solve in R studio with all details Problem 11. From Statistics and Data Analysis from Elementary to Intermediate by Tamh

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Solve in R studio with all details Problem 11. From Statistics and Data Analysis from Elementary to Intermediate by Tamh

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Solve in R studio with all details
Problem 11. From Statistics and Data Analysis from Elementary toIntermediate by Tamhane and Dunlop, pg 331. While imprisoned by theGermans during World War II, the English mathematician John Kerrichtossed a coin 10,000 times and obtained 5067 heads. Let p be theprobability of a head on a single toss. We wish to check if thedata are consistent with the hypothesis that the coin was fair. a)Set up the hypotheses. Why should the alternative be two-sided? b)Calculate the p-value. Can you reject H0 at the 0.05 level? Justifyyour answer. c) If you reject the null hypothesis what does thatmean? d) Find a 95% confidence interval for the proportion of headsfor Kerrich’s coin. Is this consistent to the significance test inpart b)?
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