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 a = 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. 1.What are the null and alternate hypotheses (write in equation/inequality form)? 2. What is the p-value and the result, i.e. reject or fail to reject HO? (Show your work/rationale and calculator commands/inputs as appropriate)