Suppose that I have info about a sample, and
In one University, we have 70% females in the population and 30% males. In another University, the numbers are interchanged and 30% are females and 70% are males. Now assume that a random sample of 100 students are picked from each countryuniversity (total number of observations: 200).
What is the probability that a sample of this size would be able to reject the null hypothesis that the proportion of females in the first population is greater than the second population at an alpha level of 0.05?
How do you find probability of sample and say that it rejects null hypothesis?