2.The director of library services at Fairmont College did a survey of types of
ID: 3321295 • Letter: 2
Question
2.The director of library services at Fairmont College did a survey of types of books (by subject) in the circulation librry 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. Subject Area Percent of Books in Number of Books in Circulation Library on Sample on This Business Humanities Natural science This Subject 32% 25% 20% Subject 268 214 215 Social science All other subjects 15% 115 8% 76 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.Explanation / Answer
Ans:
Test statistic:
calculated chi square score=11.916
df=5-1=4
p-value=CHIDIST(11.916,4)=0.0180
As,p-value<0.05,we reject the null hypothesis.
There is not sufficient evidence to support the claim that the subject distribution of books in the library fits the distribution of books checked out by students.
Observed(O) pi Expected(E) (O-E)^2/E Business 268 0.32 284.16 0.919 humanities 214 0.25 222 0.288 natural sci. 215 0.2 177.6 7.876 social sci 115 0.15 133.2 2.487 others 76 0.08 71.04 0.346 total= 888 1 888 11.916Related Questions
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