g you would like to obtain a 90% confidence interval with margin of error 0.02, what is the minimum sample size you need?

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09-12-2022
Mathematics

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g you would like to obtain a 90% confidence interval with margin of error 0.02, what is the minimum sample size you need?

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contexto1220 contexto1220 · Answer 1 · 2022-12-16T07:14:14-05:00

I would like to construct a 95% confidence interval with a 4% margin of error. We don't have an estimate for the percentage, so we use a conservative estimate.

This is the minimum sample size, so we need to round up to 601. The larger the sample, the more confident the responses truly represent the population.

This shows that for a given confidence level, the confidence interval gets smaller as the sample size increases. At least 1450 samples from each group are required.