{Politics narrative} Suppose numerous random samples of size 1,000 are taken from this population.The proportions of Democrats from the various samples of size 1,000 will have what approximate standard deviation?
A).24 or 24%
B).00024 or .024%
C).015 or 1.5%
D)None of the above.

Question

Quizplus · Accepted Answer

The standard deviation of sample proportions can be calculated using the formula sqrt(p(1-p)/n), where p is the population proportion (unknown in this case) and n is the sample size. Since we do not know the population proportion, we can use 0.5 as a conservative estimate to get an upper bound on the standard deviation. Therefore, sqrt(0.5*0.5/1000) = 0.015 or 1.5%.

{Politics Narrative} Suppose Numerous Random Samples of Size 1,000 Are