A researcher wishes to estimate, with 99% confidence, the population proportion of adults who are confident with their country's banking system. His estimate must be accurate within 3% of the population proportion. (a) No preliminary estimate is available. Find the minimum sample size needed. (b) Find the minimum sample size needed, using a prior study that found that 26% of the respondents said they are confident with their country's banking system. (c) Compare the results from parts (a) and (b).
c = 99%
z- score for 99% is 2.58
E = 3% (0.03)
n = (z/E)^2 * p(1 - p)
(a) p = 1 - p = 0.5
n = (2.58/0.03)^2 * (0.5 * 0.5) = 1844
(b) p = 0.26
n = (2.58/0.03)^2 * 0.26(1 - 0.26) = 1419
(c) With no estimate of the population proportion available, we make a conservative estimate of the sample size. This will always be greater than the sample size estimate made with a prior knowledge about the population proportion.
[Are you satisfied with my answer? If not please let me know. If yes, please give me a positive rating. Thanks.]
Get Answers For Free
Most questions answered within 1 hours.