Problem #2. You are conducting an anonymous survey in the town you are currently live. There is only one question on the survey, "In your opinion, do cats see humans as nothing more than fellow cats?" Of the 150 people surveyed (assume you were lucky to get a random sample of the population), 92 responded no, and the rest responded yes. You are interested in the true proportion of people in your town who think that cats see us as cats. Explain or show work for all part of the question. I. What is being counted? II. In words define the random variable X. III. Calculate the following A. x = B. n = C. p = IV. State the estimated distribution of X. X - V. Define a new random variable P' in words. What is p' estimating? VI. State the estimated distribution of P'. VII. You want to construct a 92% confidence interval for the true proportion of people in your community who think that cats see us as cats. How much area is in both tails combined? VIII. How much area in each tail? IX. Calculate the following: A. Lower limit B. Upper limit C. Error bound X. The 92% confidence interval is XI. Interpret your confidence interval.