A university library ordinarily has a complete shelf inventory done once every year. Because of new shelving rules instituted the previous year, the head librarian believes it may be possible to save money by postponing the inventory. The librarian decides to select at random 800 books from library's collection and have them searched in a pre- liminary manner. If evidence indicates strongly that the true proportion of misshelved or unlocatable books is less than 0.01, then the inventory will be postponed. a. Among the 800 books searched, 20 were misshelved or unlocatable. Test the relevant hypotheses and advise the librarian what to do (use a = 0.05). c. If the true proportion is 0.05, what is the probability that the inventory will be postponed.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A university library ordinarily has a complete shelf inventory done once every year.
Because of new shelving rules instituted the previous year, the head librarian believes
it may be possible to save money by postponing the inventory. The librarian decides to
select at random 800 books from library's collection and have them searched in a pre-
liminary manner. If evidence indicates strongly that the true proportion of misshelved
or unlocatable books is less than 0.01, then the inventory will be postponed.
a. Among the 800 books searched, 20 were misshelved or unlocatable. Test the
relevant hypotheses and advise the librarian what to do (use a = 0.05).
c. If the true proportion is 0.05, what is the probability that the inventory will be
postponed.
Transcribed Image Text:A university library ordinarily has a complete shelf inventory done once every year. Because of new shelving rules instituted the previous year, the head librarian believes it may be possible to save money by postponing the inventory. The librarian decides to select at random 800 books from library's collection and have them searched in a pre- liminary manner. If evidence indicates strongly that the true proportion of misshelved or unlocatable books is less than 0.01, then the inventory will be postponed. a. Among the 800 books searched, 20 were misshelved or unlocatable. Test the relevant hypotheses and advise the librarian what to do (use a = 0.05). c. If the true proportion is 0.05, what is the probability that the inventory will be postponed.
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