The population proportion is 0.20. What is the probability that a sample proportion will be within 10.04 of the population proportion for each of the following sample sizes? (Round your answers to 4 decimal places.) (a) n = 100 (b) n = 200 (c) n = 500 (d) n = 1,000 X (e) What is the advantage of a larger sample size? O There is a higher probability will be within 10.04 of the population standard deviation. O There is a higher probability p will be within +0.04 of the population proportion p. O We can guarantee p will be within ±0.04 of the population proportion p. O As sample size increases, E(p) approaches p.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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The population proportion is 0.20. What is the probability that a sample proportion will be within ±0.04 of the population proportion for each of the following sample sizes? (Round your answers to 4
decimal places.)
(a) n = 100
(b) n = 200
(c) n = 500
(d) n = 1,000
(e) What is the advantage of a larger sample size?
There is a higher probability o- will be within ±0.04 of the population standard deviation.
There is a higher probability p will be within ±0.04 of the population proportion p.
We can guarantee p will be within 10.04 of the population proportion p.
As sample size increases, E(p) approaches p.
Transcribed Image Text:The population proportion is 0.20. What is the probability that a sample proportion will be within ±0.04 of the population proportion for each of the following sample sizes? (Round your answers to 4 decimal places.) (a) n = 100 (b) n = 200 (c) n = 500 (d) n = 1,000 (e) What is the advantage of a larger sample size? There is a higher probability o- will be within ±0.04 of the population standard deviation. There is a higher probability p will be within ±0.04 of the population proportion p. We can guarantee p will be within 10.04 of the population proportion p. As sample size increases, E(p) approaches p.
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