The management team of a company with 10,000 employees is considering installing charging stations for electric cars in the company parking lots. In a random sample of 500 employees, 15 reported owning an electric car. Construct a 99 percent confidence interval for the proportion of all employees at the company who own an electric car. In your response indicate: The type of interval, the assumptions/conditions/ the critic value you used, the interval you calculated, and the interpretation of the interval in context