(Solved): 8.94 An automobile dealer wants to estimate the proportion of customers who still own the cars they ...

8.94 An automobile dealer wants to estimate the proportion of customers who still own the cars they purchased five years earlier. Sales records indicate that the population of owners is 4,000 . A random sample of 200 customers selected without replacement from the automobile dealer's records indicate that 82 still own cars that were purchased five years earlier. a. Construct a \( 95 \% \) confidence interval estimate of the population proportion of all customers who still own their cars five years after they were purchased. b. What sample size is necessary to estimate the population proportion to within \( \pm 0.025 \) with \( 95 \% \) confidence? c. What are your answers to (a) and (b) if the population consists of 6,000 owners?