The proportion who smoke among adult residents of Kentucky in 2004 was, the highest of any state in the United States. Treat this as the population proportion, and suppose you take a random sample ofKentucky residents.

a.Determine the probability of obtaining a sample proportion of Kentucky smokers that is more thanaway from the population proportion (in other words, either greater thanor less than).

Round your answer to four decimal places.

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b.Repeat partawith a distance ofinstead of. Round your answer to four decimal places.

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c.If you are presented with a random sample ofresidents from an unknown state, and you find thatof the sample are smokers, would you have reason to believe that the state is not Kentucky? Explain, based on your calculation in parta. Round your answer to the nearest integer.

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Thereis noisreason to doubt that the state is Kentucky because part a shows that if the state is Kentucky, you havea greater thanless thanchance of finding a sample result of at leastsmokers. d.Repeat partcif you find thatof the sample are smokers. Explain, based on your calculation in partb. Round your answer to one decimal place. Thereis noisreason to doubt that the state is Kentucky because partbshows that if the state is Kentucky, you haveless thana greater thanchance of finding a sample result of at leastsmokers.