More eggs? Can a food additive increase egg produc-tion? Agricultural researchers want to design an experi-ment to find out. They have 100 hens available. They have two kinds of feed: the regular feed and the new feedwith the additive. They plan to run their experiment for amonth, recording the number of eggs each hen produces.a) Design an experiment that will require a two-sample tprocedure to analyze the results.b) Design an experiment that will require a matched-pairst procedure to analyze the results.c) Which experiment would you consider the strongerdesign? Why?

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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.