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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

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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 3% margin of error at a 90% confidence level, what size of sample is needed

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Mathematics
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2021-07-23T03:58:39+00:00
2021-07-23T03:58:39+00:00 1 Answers
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## Answers ( )

Answer:A sample size of 752 is needed.

Step-by-step explanation:In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following

confidence interval of proportions.In whichz is the z-score that has a p-value of .

The margin of error is of:90% confidence levelSo , z is the value of Z that has a p-value of , so .

If the candidate wants a 3% margin of error at a 90% confidence level, what size of sample is needed?We have no estimate of the proportion, so we use .

The sample size is n for which M = 0.03. So

Rounding up:

A sample size of 752 is needed.