Two observational studies of handwashing times were conducted with 59 men and 59 women.  Of the 59 men, 19 were observed not washing their hands. Of the 59 women, 8 were observed not washing their hands.  Let p1 population proportion of women not washing their hands, and p2 population proportion of men not washing their hands. The claim is that women are 50% more likely to wash their hands than men. The hypothesis is, Null hypothesis: H0:p1-p2≤0.50 Alternative hypothesis: Ha:p1-p2>0.50 Test the hypothesis and determine the significance using a two proportion z-test.

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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.