1) While talking about the cars that fellow students drive, several statements were made about types, ages, makes, colors, and so on. Dana decided she wanted to estimate the proportion of convertibles students drove, so he randomly identified 200 cars in the student parking lot, of which he found 17 to be convertibles. a) Find the 90% confidence interval for the proportion of convertibles driven by students. Check conditions. Include the sample proportion, Zo/2 and standard error followed by your confidence interval. Then state your confidence interval in words. b) What is the margin of error? c) What sample size would be required to reduce the margin of error to 1%