Maximum error if we use the observed sample proportion

Maximum error if we use the observed sample proportion/Statistics

With reference to Exercise 38, what can we say with 99% confidence about the maximum error if we use the observed sample proportion as an estimate of the proportion of all shoppers in the population sampled who use coupons?

Exercise 38

A sample survey at a supermarket showed that 204 of 300 shoppers regularly use coupons. Use the large sample confidence-interval formula of Theorem 6 to construct a 95% confidence interval for the corresponding true proportion.

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