What is the veracity of the claim that college students smoke less than the general public from the given information. Why would college graduates smoke at a lower rate than others?
A survey showed that among 785 randomly selected subjects who completed four years of college, 18.3 smoke and 81.7 do not smoke. Using a 0.01 significance level test the claim that the rate of smoking among those with four years of college is less than the 27% rate of the general population.
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The survey shows that of the 785 randomly selected subjects that have completed 4 years of college, 18.3% smoke and 81.7% do not smoke. The confidence interval with a 0.01 significance level is given by `2.575*sqrt((0.183*0.817)/785) = 0.0355`
This gives the percentage of the population that smokes lying between `18.3%+-3.55%` or at the higher end 21.85% of the population of students having completed 4 years of college smokes. At a 99% confidence level this is significantly lower than the 27% rate of people in the general public that smoke .
A possible reason why college graduates have a lower rate of smoking could be because they are more aware of the risks involved and know that smoking is medically proven to be injurious to health.
Or graduate students more intelligent, as smoking has been proven to lower one's cognitive function and IQ.
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