The population proportion is 0.32. 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  σp  will be within ±0.04 of the population standard deviation.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.

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.