You may need to use the appropriate appendix table or technology to answer this question. The population proportion is 0.28. 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

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You may need to use the appropriate appendix table or technology to answer this question.
The population proportion is 0.28. 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.)
(а) п %3D 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 p will be within ±0.04 of the population proportion p.
As sample size increases, E(p) approaches p.
There is a higher probability 0_ will be within +0.04 of the population standard deviation.
We can guarantee p will be within ±0.04 of the population proportion p.
O O O O
Transcribed Image Text:You may need to use the appropriate appendix table or technology to answer this question. The population proportion is 0.28. 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.) (а) п %3D 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 p will be within ±0.04 of the population proportion p. As sample size increases, E(p) approaches p. There is a higher probability 0_ will be within +0.04 of the population standard deviation. We can guarantee p will be within ±0.04 of the population proportion p. O O O O
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