Question: The head of a computer science department is interested in estimating the proportion of students entering the department who will choose the new computer engineering option.

1. Suppose there is no information about the proportion of students who might choose the option. What size sample should the department head take if she wants to be 95% confident that the estimate is within 0.10 of the true proportion?
2. A preliminary sample indicates that the proportion will be around 0.25. Therefore, what size sample should the department head take if she wants to be 95% confident that the estimate is within 0.10 of the true proportion?
3. Why are your answers for parts A and B different? Explain in detail. Hint: Your answers for A and B should not be the same.

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