You may need to use the appropriate appendix table or technology to answer this question. The population proportion is 0.22. 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 σp 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. As sample size increases, E(p) approaches p.