A state legislator wishes to survey residents of her district to see what proportion of the electorate

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A state legislator wishes to survey residents of her district to see what proportion of the electorate is aware of her position on using state funds to pay for abortions.
a. What sample size is necessary if the 95% CI for p is to have a width of at most .10 irrespective of p?
b. If the legislator has strong reason to believe that at least 2/3 of the electorate know of her position, how large a sample size would you recommend?
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