7.49 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 conditions for the Central Limit Theorem are met, find the probability that at the majority (more than 50%) watched the Super Bowl. (Source: vox.com)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 64E
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7.49
7.49
7.50
7.51
6
Chapter 7: Section Exercises
AP
a. Without doing any calculations, determine whether this probability will be
greater than 50% or less than 50%. Explain your reasoning.
b. Calculate the probability that the sample proportion is 30% or more.
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 conditions for the Central Limit Theorem are met,
find the probability that at the majority (more than 50%) watched the Super Bowl.
(Source: vox.com)
College Enrollment According to data released in 2016, 69% of students in the United
States enroll in college directly after high school graduation. Suppose a sample of 200
recent high school graduates is randomly selected. After verifying the conditions for the
Central Limit Theorem are met, find the probability that at most 65% enrolled in college
directly after high school graduation. (Source: nces.ed.gov)
Color Blindness While the majority of people who are color blind are male, the National
Eye Institute reports that 0.5% of women of with Northern European ancestry have the
common form of red-green color blindness. Suppose a random sample of 100 women
with Northern European ancestry is.selected. Can we find the probability that less than
371
Transcribed Image Text:7.49 7.50 7.51 6 Chapter 7: Section Exercises AP a. Without doing any calculations, determine whether this probability will be greater than 50% or less than 50%. Explain your reasoning. b. Calculate the probability that the sample proportion is 30% or more. 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 conditions for the Central Limit Theorem are met, find the probability that at the majority (more than 50%) watched the Super Bowl. (Source: vox.com) College Enrollment According to data released in 2016, 69% of students in the United States enroll in college directly after high school graduation. Suppose a sample of 200 recent high school graduates is randomly selected. After verifying the conditions for the Central Limit Theorem are met, find the probability that at most 65% enrolled in college directly after high school graduation. (Source: nces.ed.gov) Color Blindness While the majority of people who are color blind are male, the National Eye Institute reports that 0.5% of women of with Northern European ancestry have the common form of red-green color blindness. Suppose a random sample of 100 women with Northern European ancestry is.selected. Can we find the probability that less than 371
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