Number of Books in Percent of Books on Subject in Circulation Library on This Subject Subject Area Sample on This Subject Business 32% 280 Humanities 25% 202 Natural Science Social Science All other subjects 20% 230 108 15% 8% 68 A USE SALT 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? State the null and alternate hypotheses. O Ho: The distributions are the same. H: The distributions are the same. O Ho: The distributions are different. H,: The distributions are different. Ho: The distributions are different. H,: The distributions are the same. O Ho: The distributions are the same. H: The distributions are different. (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.) Are all the expected frequencies greater than 5? O Yes O No What sampling distribution will you use? O Student's t O normal O chi-square binomial uniform What are the degrees of freedom? O O O OO

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Question
Percent of Books on Subject in Circulation
Library on This Subject
Number of Books in
Subject Area
Sample on This Subject
Business
32%
280
Humanities
25%
202
Natural Science
20%
230
Social Science
15%
108
All other subjects
8%
68
A USE SALT
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?
State the null and alternate hypotheses.
O Ho: The distributions are the same.
H,: The distributions are the same.
O Ho: The distributions are different.
H: The distributions are different.
O Ho: The distributions are different.
H,: The distributions are the same.
O Ho: The distributions are the same.
H: The distributions are different.
(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.)
Are all the expected frequencies greater than 5?
O Yes
O No
What sampling distribution will you use?
O Student's t
O normal
O chi-square
O binomial
O uniform
What are the degrees of freedom?
Transcribed Image Text:Percent of Books on Subject in Circulation Library on This Subject Number of Books in Subject Area Sample on This Subject Business 32% 280 Humanities 25% 202 Natural Science 20% 230 Social Science 15% 108 All other subjects 8% 68 A USE SALT 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? State the null and alternate hypotheses. O Ho: The distributions are the same. H,: The distributions are the same. O Ho: The distributions are different. H: The distributions are different. O Ho: The distributions are different. H,: The distributions are the same. O Ho: The distributions are the same. H: The distributions are different. (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.) Are all the expected frequencies greater than 5? O Yes O No What sampling distribution will you use? O Student's t O normal O chi-square O binomial O uniform What are the degrees of freedom?
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