According to one pollster, 41% of children are afraid of the dark. Suppose that a sample...
According to one pollster, 41% of children are afraid of the
dark. Suppose that a sample of size 25 is drawn. Find the value
of , the standard deviation of the distribution of
sample proportions.
Write only a number as your answer. Round to two decimal places
(for example: 8.21).
Homework Answers
Solution:
We are given
n = 25
p = 0.41
q = 1 – p = 1 – 0.41 = 0.59
Standard deviation of the distribution of sample proportion = Sqrt(pq/n)
Standard deviation of the distribution of sample proportion = Sqrt(0.41*0.59/25)
Standard deviation of the distribution of sample proportion = 0.098367
Answer: 0.10
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