Your medical professor asks you to collect data from lab samples to find out the percentage of these samples with chemical Ethyl acetate present. The professor doesn't tell you anything else about estimates obtained last year not to influence the results. You have access to a total of 2,525 samples and you need to determine how many need to be checked to be within three percent of the true percentage value using a ninety seven percent confidence interval. (Show all work, use the calculator where appropriate. No credit if calculator is not used)

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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.