Use the following information for questions 1 and 2.  Independent random samples of individuals showed that of 200 women, 40 own dogs, and of 175 men, 27 own dogs. We want to determine at α = 0.1 if there is a difference in the proportion of women who own dogs and the proportion of men who own dogs.  Assume all test conditions are satisfied. What is the p-value and the result, i.e. reject or fail to reject H0?

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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.