A car dealer would like to estimate the proportion of customers who still own the same cars they bought 5 years ago. A sample of 200 cars selected from motor dealer records that 82 of them still owned the cars they had bought 5 years earlier a) Estimate a 95% confidence interval for the true proportion of customers who still own their cars 5 years after purchasing them. b) Determine what sample size is needed to estimate the true proportion on a scale of ±0.025 with 95% confidence.

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A car dealer would like to estimate the proportion of customers who still own the same cars they bought 5 years ago. A sample of 200 cars selected from motor dealer records that 82 of them still owned the cars they had bought 5 years earlier

a) Estimate a 95% confidence interval for the true proportion of customers who still own their cars 5 years after purchasing them.

b) Determine what sample size is needed to estimate the true proportion on a scale of ±0.025 with 95% confidence.

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