I need to know how to calculate the probabililty when  you have the following information  25 random outcomes  possible outcomes is either pass or fail 8% failure rate production shutdown each week   GM would like to shutdown production no more than 1% of the time after much debate GM has decided to shut down after 5 boxes in a weekly sample fail

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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.