Checking for survey errors one way of checking the effect, Basic Statistics

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Checking for survey errors one way of checking the effect

Question: Checking for survey errors One way of checking the effect of undercoverage, nonresponse, and other sources of error in a sample survey is to compare the sample with known facts about the population. About 12% of American adults identify themselves as black. Suppose we take an SRS of 1500 American adults and let X be the number of blacks in the sample.

(a) Show that X is approximately a binomial random variable.

(b) Check the conditions for using a Normal approximation in this setting.

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Basic Statistics: Checking for survey errors one way of checking the effect

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