In a simple random sample of size 55, taken from a population, 20 of the individuals met a specified criteria. a)  What is the margin of error for a 90% confidence interval for p, the population proportion? Round your response to at least 4 decimal places.         b)  What is the margin of error for a 95% confidence interval for p? Round your response to at least 4 decimal places.         NOTE: These margin of errors are greater than .10 or 10%. c) How big of a sample is needed to be certain that we have a margin of error less than .10 (or 10%) at 90% confidence?

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.