A psychologist is interested in determining if the proportion of males who are diagnosed with depression during their first year away from home is different from the proportion of females diagnosed with depression their first year. She thinks that females are more emotionally unstable than males and feels like school programs need to target females more effectively. She conducts a study and randomly samples 300 males and 250 females. Of the males, 30 are diagnosed with depression, and of the females, 50 are diagnosed with depression. Is there enough evidence to support the researcher’s 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.