I believe the population proportion of men that grow their beard fully in cooler months is 0.25. After creating a survey and receiving data from 100 men, information shows 45 out of 100 grow a full beard particularly for the weather in cooler months as opposed to the rest who are clean shaven year round. Test this hypothesis at .05, assume a random sample.  Let p = proportion of men that grow beards in cooler months Based on p-value would we reject or fail to reject the null 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.