Question

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.

Answer 1