An epidemiologist is planning a study on the prevalence of oral contraceptive use in a certain population.9 She plans to choose a random sample of n women and to use the sample proportion of oral contraceptive users () as an estimate of the population proportion (p). Suppose that in fact p = 0.12. Use the normal approximation (with the continuity correction) to determine the probability that P will be within ± 0.03 of p if
(a) n = 100.
(b) n = 200.