The director of library services at a college did a survey of types of books (by subject) in the circulation library. Then she used library records to take a random sample of 888 books checked out last term and classified the books in the sample by subject. The results are shown below. Percent of Books on Subject in Circulation Library on This Subject Number of Books in Subject Area Sample on This Subject Business 32% 287 Humanities 25% 214 Natural Science 20% 202 Social Science 15% 106 All other subjects 8% 79 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.

MATLAB: An Introduction with Applications
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(a) What is the level of significance?

(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 circulation library. Then she used library records to take a random sample of 888
books checked out last term and classified the books in the sample by subject. The results are shown below.
Percent of Books on Subject in Circulation
Library on This Subject
Number of Books in
Subject Area
Sample on This Subject
Business
32%
287
Humanities
25%
214
Natural Science
20%
202
Social Science
15%
106
All other subjects
8%
79
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.
Transcribed Image Text:The director of library services at a college did a survey of types of books (by subject) in the circulation library. Then she used library records to take a random sample of 888 books checked out last term and classified the books in the sample by subject. The results are shown below. Percent of Books on Subject in Circulation Library on This Subject Number of Books in Subject Area Sample on This Subject Business 32% 287 Humanities 25% 214 Natural Science 20% 202 Social Science 15% 106 All other subjects 8% 79 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.
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