
For Problems 5-14, please provide the following information.
(a) What is the level of significance? State the null and alternate hypotheses.
(b) Find the value of the chi-square statistic for the sample. Are all the expected frequencies greater than 5? What sampling distribution will you use? What are the degrees of freedom?
(c) Find or estimate the P-value of the sample test statistic.
(d) Based on your answers in parts (a)-(c), will you reject or fail to reject the null hypothesis that the population fits the specified distribution of categories?
(e) Interpret your conclusion in the context of the application.
Library: Book Circulation The director of library services at Fairmont 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 next.
Subject Area | Percent of Books in Circulation Library on This Subject | Number of Books in Sample on This Subject |
Business | 12% | 268 |
Humanities | 25% | 214 |
Natural science | 20% | 215 |
Social science | 15% | 115 |
All other subjects | 8% | 76 |
Using a 5% level of significance, test the claim that the subject distribution of hooks in the library fits the distribution of books checked out by students.

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Chapter 11 Solutions
Student Solutions Manual for Brase/Brase's Understanding Basic Statistics, 7th
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