The director of library services at a college did a survey of types of books (by subject) in the arculation library. Then she used library records to take a random sample of 888 books checked out last term and classifled the books in the sample by subject. The results are shown below. Percent of Books on Subject in Circulation Library on This Subject 32% 25% Number of Books in Subject Area Business Humanities Natural Science Sample on This Subject 287 214 202 106 79 20% Social Science All other subjects 15% 8% Using a 5% level of significance, test the claim that the subject distribution of books in the library fits the distribution of books checked out by students. (a) What is the level of significance?

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(b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to three decimal places. Round the test statistic to three decimal places.)

What are the degrees of freedom?

The director of library services at a college did a survey of types of books (by subject) in the arculation library. Then she used library records to take a random sample of 888
books checked out last term and classifled the books in the sample by subject. The results are shown below.
Percent of Books on Subject in Circulation
Library on This Subject
32%
25%
Number of Books in
Subject Area
Business
Humanities
Natural Science
Sample on This Subject
287
214
202
106
79
20%
Social Science
All other subjects
15%
8%
Using a 5% level of significance, test the claim that the subject distribution of books in the library fits the distribution of books checked out by students.
(a) What is the level of significance?
Transcribed Image Text:The director of library services at a college did a survey of types of books (by subject) in the arculation library. Then she used library records to take a random sample of 888 books checked out last term and classifled the books in the sample by subject. The results are shown below. Percent of Books on Subject in Circulation Library on This Subject 32% 25% Number of Books in Subject Area Business Humanities Natural Science Sample on This Subject 287 214 202 106 79 20% Social Science All other subjects 15% 8% Using a 5% level of significance, test the claim that the subject distribution of books in the library fits the distribution of books checked out by students. (a) What is the level of significance?
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