Given: On September 1 of every year in J. K. Rowling’s beloved Harry Potter novels, several hundred British teenagers board the Hogwarts Express to travel to the Hogwarts School of Witchcraft and Wizardry. Once they arrive, those entering the school for their first year undergo the venerable ritual of being sorted into one of the school’s four Houses: Gryffindor, Ravenclaw, Hufflepuff or Slytherin. In a national study by TIME Magazine of 500,000 Americans, 227,500 (45.5%) are in the Ravenclaw House. Construct a 95% confidence interval for the proportion of all American’s who would be in the Ravenclaw House. Question: Discuss the difference between confidence and probability when referring to a confidence interval. Why do we use the phrase "we are 95% confident that ..." instead of saying "we have a 95% probability that ..."?

Given: On September 1 of every year in J. K. Rowling’s beloved Harry Potter novels, several hundred British teenagers board the Hogwarts Express to travel to the Hogwarts School of Witchcraft and Wizardry. Once they arrive, those entering the school for their first year undergo the venerable ritual of being sorted into one of the school’s four Houses: Gryffindor, Ravenclaw, Hufflepuff or Slytherin. In a national study by TIME Magazine of 500,000 Americans, 227,500 (45.5%) are in the Ravenclaw House. Construct a 95% confidence interval for the proportion of all American’s who would be in the Ravenclaw House. Question: Discuss the difference between confidence and probability when referring to a confidence interval. Why do we use the phrase "we are 95% confident that ..." instead of saying "we have a 95% probability that ..."?

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.6: Counting Principles

Problem 5ECP: How many permutations of the letters W, X, Y, and Z are possible?

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