A soft drink dispenser is set to automatically dispense drinks and ice in 8 oz cups.  The machine is set to fill cups with 7.25 oz so that the liquid will not run over the top of the cup.  The company is getting complaints that the machine is filling the cups too full and spilling over.  When the machine is working properly, only 1% of the cups will not be filled properly.  The production manager conducted a one-tail test at the 0.01 level to check the machine.  A sample of 50 fills was measured.  Using the P-value approach, formulate a hypothesis test to examine the possibility that the machine could be faulty.  State the null and alternative hypothesis.

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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.