In the Star and Tribune newspaper, there is an article entitled "1 in 8 school buses fail tests." Thearticle 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 forthe 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 estimatefor the true proportion of buses that fail the inspection and achieve a margin of error of plus orminus 2%? (your answer should be an integer)

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Answered: In the Star and Tribune newspaper,…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose the English department of a local university has a total of 105 faculty members. Of this number, 24 (about 23%) are part-time instructors. Is it appropriate to find a confidence interval for the percentage of part-time instructors in the department? Find a 95% confidence interval or explain why you should not find a confidence interval for the percentage of part-time instructors in the English department.
Students at a certain college were asked if they have a car. After surveying 501 students, it was found that 20.4% of them have a car. The margin of error was 3.6% with a 95% confidence level. What does this margin of error tell you about the percentage of students at that college who have a car? We can be 95% confident that somewhere between % and % of the students at that college have a car.
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