An instructor of a class of 417 students is considering the possibility of a take-home final examination.

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An instructor of 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 propor tion who prefer this form of examination. If it is required that a 90% confidence interval for the population proportion extends at most .04 on each side of the sample proportion, how large a sample is needed?

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