According to the National Automobile Dealers Association, Toyota accounted for 18.9% of all new cars sold in 2010. Given problems with the accelerator sticking in certain models, a market analyst believes that their market share will drop in 2011. To test this claim, a random sample of 800 new car purchases in August 2011 is taken. a. What is the conjecture that we would like to find evidence to support? b. Assuming there has been no change in the market share occupied by Toyota, describe the sampling distribution of the sample proportion of new car purchases that were Toyotas if samples of size 800 are taken. c. Suppose that in a sample of 800 new car purchases, 144 were Toyotas. What is the probability of obtaining a sample of 800 new car purchases in which 144 or less were Toyotas, assuming there has been no change in the Toyota market share? d. Based on the probability in part c, what conclusion can be made about the conjecture