A small town has 500 registered voters, and a political campaign wants to estimate the proportion of voters who support a particular candidate. They decide to survey a random sample of 100 voters. If historically 55% of voters in the town support the candidate, what is the standard deviation of the sampling distribution of the proportion?
Question
Answer:
p = 0.55
q = 1 - 0.55 = 0.45
n = 100
standard deviation of the sampling distribution of the proportion
$$ =\sqrt{pqn} $$
$$ =\sqrt{\left(0.55\right)\left(0.45\right)\left(100\right)} $$
= 4.97
Answer: 4.97
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