Undercoverage is a problem that occurs in surveys when some

Undercoverage is a problem that occurs in surveys when some groups in the population when underrepresented in the sampling frame used to select the sample. We can check for undercoverage by comparing the sample with known facts about the population. Suppose we take a simple random sample of n=500 people from a population that is 25% Hispanic.

The standard deviation for the number of Hispanics in the sample is

Select one:

93.75

9.68

125

Solution

Here n = 500 and p = 0.25

Considering it to follow Binomial distribution, the parameter of the distribution are defined as:

Mean = np

Standard deviation = np(1-p) = (500 * 0.25 * 0.75) = 93.75