The population proportion is 0.38. 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? We can guarantee p will be within ±0.04 of the population proportion p. 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 σp will be within ±0.04 of the population standard deviation.
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