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 4% 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 4% margin of error at a 99% confidence level.
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Step 1
Given that alpha = 1 - 0.99 = 0.01, divide by 2 to get 0.005. Looking up this value in the z-table gives a z-value of 2.576. Show more…
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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.
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