Star and Tribune newspaper, there is an article entitled “1 in 8 school buses fail tests.”   The article says that the overall statewide proportion of school buses that fail safety tests is 9%.  However, one bus company has a higher rate of over 12%.  Assume that we want a new estimate for the statewide proportion of school buses that fail the safety inspection.    How large a sample would you have to take in order to construct a 95% confidence interval estimate for the true proportion of buses that fail the inspection and achieve a margin of error of plus or minus 5%?

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In the Star and Tribune newspaper, there is an article entitled “1 in 8 school buses fail tests.”   The article says that the overall statewide proportion of school buses that fail safety tests is 9%.  However, one bus company has a higher rate of over 12%.  Assume that we want a new estimate for the statewide proportion of school buses that fail the safety inspection.   

How large a sample would you have to take in order to construct a 95% confidence interval estimate for the true proportion of buses that fail the inspection and achieve a margin of error of plus or minus 5%?   

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