Suppose that among 24,839 customers of a certain company, exactly 11.842 feel very satisfied with the service

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Suppose that among 24,839 customers of a certain company, exactly 11.842 feel "very satisfied" with the service they received. In order to estimate the satisfaction levels of the customers, a manager contacts a random sample of 80 of these customers and finds out how main of them were "very satisfied." What is the probability that the manager's estimate of the proportion of "very satisfied" customers in this group is within 0.10 of the true value?
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