Crime and Punishment: In a study of pleas and prison sentences, it is found that 45% of the subjects studied were sent to prison. Among those sent to prison, 40% chose to plead guilty. Among those not sent to prison, 55% chose to plead guilty.     If one of the study subjects is randomly selected, find the probability of getting someone who was not sent to prison. If a study subject is randomly selected and it is then found that the subject entered a guilty plea, find the probability that this person was not sent to prison

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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.