The proportion who smoke among adult residents of Kentucky in 2004 was 0.276, the highest of any state in the United States. Treat this as the population proportion, and suppose you take a random sample of 350 Kentucky residents.

**a. **Determine the probability of obtaining a sample proportion of Kentucky smokers that is more than 0.05 away from the population proportion (in other words, either greater than 0.326 or less than 0.226).

Round your answer to four decimal places.

**b. **Repeat part **a **with a distance of 0.0025 instead of 0.05.

Round your answer to four decimal places.

**c. **If you are presented with a random sample of 350 residents from an unknown state, and you find that 22.5% of the sample are smokers, would you have reason to believe that the state is not Kentucky? Explain, based on your calculation in part **a**.

Round your answer to the nearest integer.

There reason to doubt that the state is Kentucky because part a shows that if the state is Kentucky, you have ** ****% **chance of finding a sample result of at least 22.5% smokers.

**d. **Repeat part **c** if you find that 25% of the sample are smokers. Explain, based on your calculation in part **b**.

Round your answer to one decimal place.

There reason to doubt that the state is Kentucky because part** b** shows that if the state is Kentucky, you have ** ****% **chance of finding a sample result of at least 25% smokers.

Subject | Mathematics |

Due By (Pacific Time) | 09/30/2015 10:23 pm |

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