Question: A recent Gallup poll found that of 800 randomly selected drivers surveyed, 70% thought that they were better-than average drivers. It is reasonable to define "average" so that in the population, at most only 50% of all drivers can be "better than average."
a. Draw a picture of the possible sample proportions that would result from samples of 800 people from a population with a true proportion of .50.
b. Would you be unlikely to see a sample proportion of .70, based on a sample of 800 people, from a population with a proportion of .50? Explain, using your picture from part (a).