In a random sample of n=1000 families in the city of Portland, it is found that x=600 families own at least two cars. (a) Find a 95% confidence interval for the actual proportion of families with at least two cars in this city. (5 points)

(b) If we want to claim with 95% confidence that our estimate of the percentage of families owning at least two cars in Portland is off the actual percentage by less than 0.025, does the sampling provide sufficient supports for this claim? Why? (5 points)