Math

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Suppose that 20% of the residents in a certain state support an increase in the property tax. An opinion poll will randomly sample 400 state residents and will then compute the proportion in the sample that support a property tax increase.
How likely is the resulting sample proportion to be within .04 of the true proportion (i.e., between .16 and .24)?
(Hint: Use the sampling distribution of the sample proportion in this case.)

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