The times of london reported on 4 January 2002 that Polish mathematicians recorded 140 heads in 250 spins (56%) of the Belgian one euro coin, suggesting that it was unbalanced; this touched off an international media frenzy. a. test the null hypothesis that the true probability of heads is equal to 0.5  b. Place a 95% confidence interval around the sample proportion

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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The times of london reported on 4 January 2002 that Polish mathematicians recorded 140 heads in 250 spins (56%) of the Belgian one euro coin, suggesting that it was unbalanced; this touched off an international media frenzy.

a. test the null hypothesis that the true probability of heads is equal to 0.5 

b. Place a 95% confidence interval around the sample proportion 

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