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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 proportion of 20-24 year olds and the proportion of 25-29 year olds who are smokers is 0.032 < p1 - p2 < 0.128. Which of the following statements give a correct interpretation of this confidence interval?

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