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Approximation based on the central limit theorem

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In a large city a certain (unknown) proportion of adults believe that global warming is a liberal hoax designed to hurt oil companies. You plan to take a survey of n adults to "estimate" this proportion. You want to be able to say that your estimate is within three percentage points (i.e., within 0.03) of the true proportion, with 0.95 probability. What is the smallest sample size that guarantees that you would obtain a satisfactory estimate (an estimate that's within 0.03 of the true proportion, with probability 0.95)? Provide an answer using an approximation based on the Central Limit Theorem.

Reference no: EM132498147

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