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 CirculationLibrary on This Subject32%Number of Books inSample on This Subject265Subject AreaBusinessHumanities25%20%226Natural ScienceSocial Science22415%104All other subjects69Using a 5% level of significance, test the daim 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 Hg: The distributions are the same.H: The distributions are the same.O Hg: The distributions are different.H: The distributions are different.O Hg: The distributions are different.H: The distributions are the same.O Hg: 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 57O YesO NoWhat sampling distribution will you use?O binomialO Student's tO chi-squareO normalO uniformWhat are the degrees of freedom?(C) Estimate the P-value of the sample test statistic.O P-value > 0.100O 0.050 < P-value < 0.100O D.025 < P-value < 0.050O 0.010 < P-value < 0.025O D.005 < Pvalue < 0.010O P-value < 0.005(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis of independence?O Since the P-value > a, we fall to reject the null hypothesis.O Since the P-value > a, we reject the null hypothesis.O Since the P-value sa, we reject the null hypothesis.O Since the P-value sa, we fall to reject the null hypothesis.(e) Interpret your condusion in the context of the application.O At the 5% level of significance, the evidence is sufficient to condude that the subject distribution of books in the library is different from that of books checked out by students.O At the 5% level of significance, the evidence is insufficient to conclude that the subject distribution of books in the library is different from that of books checked out by students.

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 32% 25% 20% 15% Number of Books in Sample on This Subject 265 226 224 104 69 Subject Area Business Humanities Natural Science Sodial Science All other subjects Using a 5% level of significance, test the daim 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?

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 32% 25% 20% 15% Number of Books in Sample on This Subject 265 226 224 104 69 Subject Area Business Humanities Natural Science Sodial Science All other subjects Using a 5% level of significance, test the daim 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

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

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
32%
Number of Books in
Sample on This Subject
265
Subject Area
Business
Humanities
25%
20%
226
Natural Science
Social Science
224
15%
104
All other subjects
69
Using a 5% level of significance, test the daim 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 Hg: The distributions are the same.
H: The distributions are the same.
O Hg: The distributions are different.
H: The distributions are different.
O Hg: The distributions are different.
H: The distributions are the same.
O Hg: 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 57
O Yes
O No
What sampling distribution will you use?
O binomial
O Student's t
O chi-square
O normal
O uniform
What are the degrees of freedom?
(C) Estimate the P-value of the sample test statistic.
O P-value > 0.100
O 0.050 < P-value < 0.100
O D.025 < P-value < 0.050
O 0.010 < P-value < 0.025
O D.005 < Pvalue < 0.010
O P-value < 0.005
(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis of independence?
O Since the P-value > a, we fall to reject the null hypothesis.
O Since the P-value > a, we reject the null hypothesis.
O Since the P-value sa, we reject the null hypothesis.
O Since the P-value sa, we fall to reject the null hypothesis.
(e) Interpret your condusion in the context of the application.
O At the 5% level of significance, the evidence is sufficient to condude that the subject distribution of books in the library is different from that of books checked out by students.
O At the 5% level of significance, the evidence is insufficient to conclude that the subject distribution of books in the library is different from that of books checked out by students.

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