Question

Suppose that a population parameter is 0.6, and many samples are taken from the population. If the size of each sample is 80, which of the following will most likely be the standard deviation of the sample proportions?

A. 0.095
B. 0.055
C. 0.032
D. 0.072

Answer 1

The answer is Letter B - 0.055.
Given: p - 0.6; n - 80Required: standard deviation of the sample proportionSolution: To get the standard deviation of the sample proportion, we will use this formula - std = √p (1 - p) / n Replace the variables with the given values, then simplify. std = √0.6 (1 - 0.6) / 80 std = √0.24 / 80 std = √0.003 std = 0.055