Suppose that random samples of US workers from 2 major cities were collected, and the way they commute to work was documented. The results of the study are below. Method of Transportation Solo Public...

Suppose that random samples of US workers from 2 major cities were collected, and the way they commute to work was documented. The results of the study are below.

Extracted text: Suppose that random samples of US workers from 2 major cities were collected, and the way they commute to work was documented. The results of the study are below. Method of Transportation Solo Public City Carpooling Other Driving Transportation Total New 62 11 13 14 100 York D.C. 40 18 10 12 80 Total 102 29 21 23 180 a) Build a 95% confidence interval for the proportion of individuals who carpool in these two cities. (Hint: you should focus on the marginal probability of carpooling) b) Interpret your interval in context of the problem. c) kestui chers are not nappy with the margin of error from your confidence interval. They wish to repeat the process only this time they want to ensure a maximum margin of error. What is the minimum sample size needed to ensure the margin of error is at most 0.02?