The Pew Forum on Religion and Public Life reported on Dec. 9, 2009, that in a survey

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The Pew Forum on Religion and Public Life reported on Dec. 9, 2009, that in a survey of 2003 American adults, 25% said they believed in astrology.
a. Calculate and interpret a confidence interval at the 99% confidence level for the proportion of all adult Americans who believe in astrology.
b. What sample size would be required for the width of a 99% CI to be at most .05 irrespective of the value of p̂?
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