In a random sample of 500 people aged 20-24, 22% were smokers. In a random sample of 450 people aged 25-29, 14% were smokers. A 95% confidence interval for the difference between the proportions of 20-24 year olds and 25-29 year olds who are smokers is 0.032 to 0.128. Give an interpretation of this confidence interval.
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