Question: An instructor in a class of 417 students is considering the possibility of a take-home final examination. She wants to take a random sample of

An instructor in a class of 417 students is considering the possibility of a take-home final examination. She wants to take a random sample of class members to estimate the proportion who prefer this form of examination.
If a 90% confidence interval for the population proportion must extend at most 0.04 on each side of the sample proportion, how large a sample is needed?

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