On Wikipedia it said the proportion of people who bite their nails is over 31%. You aren't sure if you can believe Wikipedia, so you randomly sample 209 people and find 83 of them bite their nails. The hypothesis test with α=0.05 had a p-value of 0.0033, which causes you to reject the null, and believe that Wikipedia was right. Assuming the true proportion really was 0.31, if another sample of 209 people was taken, what is the probability of getting a proportion as high as 83/209 or higher?

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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.