The 2013 Current Population Survey (CPS) estimates that 22.5% of Mississippians 40 the people of Hispanic origin in the Unites States are under 21 years old. at least 35 people among a random sample of 100 Hispanic people living in the United States are under 21 years old. live in poverty, which makes Mississippi the state with the highest poverty rate in the United States. are interested in finding out the probability that at least 250 people among a random sample of 1,000 Mississippians live in poverty. (a) Estimate this probability using the normal approximation to the binomial distribution. (b) Estimate this probability using the distribution of the sample proportion. (c) How do your answers from parts (a) and (b) compare?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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The 2013 Current Population Survey (CPS) estimates that 22.5% of Mississippians 40 the people of Hispanic origin in the Unites States are under 21 years old. at least 35 people among a random sample of 100 Hispanic people living in the United States are under 21 years old. live in poverty, which makes Mississippi the state with the highest poverty rate in the United States. are interested in finding out the probability that at least 250 people among a random sample of 1,000 Mississippians live in poverty.

(a) Estimate this probability using the normal approximation to the binomial distribution.

(b) Estimate this probability using the distribution of the sample proportion.

(c) How do your answers from parts (a) and (b) compare?

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