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Question: A recent Gallup Poll found that of 800 randomly selected drivers surveyed, 70% thought they were better-than-average drivers. In truth, in the population, 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 we 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.

c. Explain the results of this survey.

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