Justification for normality in given situation


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. Construct a 95% confidence interval for the difference between the population proportions. You may assume the samples are independent. Which of the following gives the justification for normality in this situation?

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Basic Statistics: Justification for normality in given situation
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