Super Bowl: In 2018 it was estimated that approximately 45% of the American population watches the Super Bowl yearly. Suppose a sample of 120 Americans is randomly selected. After verifying the condition for the Central Limit Theorem are met, find the probability that a majority (more than 50%) watched the super Bowl. Verify that the conditions for the Central Limit Theorem for Sample Proportions have been met: (met or not met) 1) Random and Independent: Is the sample collected randomly and the trials are independent from each other? (met or not met) 2) Large Sample: Is there at least 10 successes and at least 10 failures? (met or not met)

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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Super Bowl: In 2018 it was estimated that approximately 45% of the American population watches the Super Bowl yearly. Suppose a sample of 120 Americans is randomly selected. After verifying the condition for the Central Limit Theorem are met, find the probability that a majority (more than 50%) watched the super Bowl. Verify that the conditions for the Central Limit Theorem for Sample Proportions have been met: (met or not met) 1) Random and Independent: Is the sample collected randomly and the trials are independent from each other? (met or not met) 2) Large Sample: Is there at least 10 successes and at least 10 failures? (met or not met)

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