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?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

(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?
Expert Solution
steps

Step by step

Solved in 4 steps with 13 images

Blurred answer
Knowledge Booster
Chi-squared Tests
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman