Home ownership According to the Bureau of the Census, 68.0% of Americans owned their own homes in 2003. A local real estate office is curious as to whether a higher percentage of Americans own their own homes in its area. The office selects a random sample of 200 people in the area to estimate the percentage of those people that own their own homes. a. Verify that a Normal model is a useful approximation for the Binomial in this situation. b. What is the probability that at least 140 people will report owning their own home? c. Based on the sample, how many people would it take for you to be convinced that a higher percentage of Americans own their own homes in that area? Explain.