Question: A new census bureau repoting method for quantifying the number of poor Americans reports 49.1 million people as poor (article linked if you care to

A new census bureau repoting method for quantifying the number of "poor" Americans reports 49.1 million people as poor (article linked if you care to read). This is roughly 16% of all Americans.

Suppose a polling company, using the same method for categorizing "poor", wants to take a sample of 1,000 Americans. In the long run (if they were to take many, many samples of size 1,000), we can expect the the distribution of sample proportions (proportion of each sample who are "poor") to have what standard deviation?

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