A political candidate has asked his/her assistant to conduct a poll to determine the percentage of people in the community that supports him/her. If the candidate wants a 9% margin of error at a 99% confidence level, what size of sample is needed? Be sure to round accordingly. The candidate would need to survey people in the community in order to be within a 9% margin of error at a 99% confidence level.
Added by Robert B.
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In this case, we are given E (9% or 0.09), Z (for a 99% confidence level, the Z-score is approximately 2.576), and we are asked to find n. We can assume p to be 0.5 (50%) as this provides the maximum variability and thus the largest sample size. Rearranging the Show more…
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