SOLUTION: When finding a confidence interval to estimate a population's proportion if the point estimate is 0.420 and the critical value is 1.96 and sample size is 50 then the margin of erro

Algebra ->  Probability-and-statistics -> SOLUTION: When finding a confidence interval to estimate a population's proportion if the point estimate is 0.420 and the critical value is 1.96 and sample size is 50 then the margin of erro      Log On


   

Question 886331: When finding a confidence interval to estimate a population's proportion if the point estimate is 0.420 and the critical value is 1.96 and sample size is 50 then the margin of error (or "maximum")is:
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
as best i can determine, your answer will be as follows:

p = probability of success
q = probability of failure
n = sample size
sep = standard error of a proportion
czf = critical z factor
moe = margin of error
ci = confidence interval

p = .420
q = 1 - p = .580
n = 50
sep = sqrt (p*q/n) = sqrt(.004872) = .0698
czf = 1.96
moe = czf * se = 1.96 * .0698 = .1368
ci = p +/- moe = .420 +/- .1368 = .2832 to .5568