Country A and its neighboring Country B are very competitive, both claiming that a higher percentage "smart" people. So an experiment is conducted. A "smart" test is given to random samples in each country. Here are the results... Total Tested Number who were "smart" Country A 100 80 Country B 100 85 Based on these samples, Country B claims superiority. A social media frenzy ensues! For the purposes of this problem, assume that Country A and Country B actually have the same percentage of smart people, and that the results above -- seeming to favor Country B -- were just a result of random differences in sampling. Under that assumption, if the experiment were conducted again (100 new randomly selected people from each country), find the probability that Country B would once again "win" by 5% or more. Round to three decimal places, for example 0.286

Country A and its neighboring Country B are very competitive, both claiming that a higher percentage "smart" people. So an experiment is conducted. A "smart" test is given to random samples in each country. Here are the results... Total Tested Number who were "smart" Country A 100 80 Country B 100 85 Based on these samples, Country B claims superiority. A social media frenzy ensues! For the purposes of this problem, assume that Country A and Country B actually have the same percentage of smart people, and that the results above -- seeming to favor Country B -- were just a result of random differences in sampling. Under that assumption, if the experiment were conducted again (100 new randomly selected people from each country), find the probability that Country B would once again "win" by 5% or more. Round to three decimal places, for example 0.286

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 32E

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Question

	Total Tested	Number who were "smart"
Country A	100	80
Country B	100	85

Based on these samples, Country B claims superiority. A social media frenzy ensues!

For the purposes of this problem, assume that Country A and Country B actually have the same percentage of smart people, and that the results above -- seeming to favor Country B -- were just a result of random differences in sampling.

Under that assumption, if the experiment were conducted again (100 new randomly selected people from each country), find the probability that Country B would once again "win" by 5% or more.

Round to three decimal places, for example 0.286

Expert Solution