question archive What Influences the Sample Size? We examine the effect of different inputs on determining the sample size needed to obtain a specific margin of error when finding a confidence interval for a proportion

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*What Influences the Sample Size?*

We examine the effect of different inputs on determining the sample size needed to obtain a specific margin of error when finding a confidence interval for a proportion.

Find the sample size needed to give, with 95% confidence, a margin of error within ±6% when estimating a proportion. Within ±3%. Within ±1%. (Assume no prior knowledge about the population proportion p.)

Round your answers up to the nearest integer.

Margin of ErrorSample Size

6%:

3%:

1%: