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# Confidence interval for the mean difference between the popu

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A. 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.

You will be asked to identify each of the following.
1. The justification for normality in this situation.
2. The critical value needed to complete this calculation.
3. The value p-hat20-24 - p-hat25-29 that will be used as the point estimate for the calculation of this interval.
4. The value of E, the error found to calculate the interval.
5. The confidence interval for the mean difference between the population proportions.

See the attached file.

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Step by step solution to the problem determining the confidence interval for the mean difference between the population proportions.

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