Yes O No What sampling distribution will you use? O Student's t O uniform O normal O binomial chi-square

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Chapter1: Starting With Matlab
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Are all the expected frequencies greater than 5?
Yes
No
What sampling distribution will you use?
Student's t
uniform
normal
binomial
chi-square
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 0.025 < P-value < 0.050
0.010 < P-value < 0.025
0.005 < P-value < 0.010
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 fail to reject the null hypothesis.
Since the P-value > a, we reject the null hypothesis.
Since the P-value < a, we reject the null hypothesis.
Since the P-value < a, we fail to reject the null hypothesis.
(e) Interpret your conclusion in the context of the application.
At the 5% level of significance, the evidence is sufficient to conclude that the subject distribution of books in the library is different from that of books checked out by students.
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.
MacBook Pro
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Transcribed Image Text:Are all the expected frequencies greater than 5? Yes No What sampling distribution will you use? Student's t uniform normal binomial chi-square 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 0.025 < P-value < 0.050 0.010 < P-value < 0.025 0.005 < P-value < 0.010 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 fail to reject the null hypothesis. Since the P-value > a, we reject the null hypothesis. Since the P-value < a, we reject the null hypothesis. Since the P-value < a, we fail to reject the null hypothesis. (e) Interpret your conclusion in the context of the application. At the 5% level of significance, the evidence is sufficient to conclude that the subject distribution of books in the library is different from that of books checked out by students. 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. MacBook Pro ..
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
Number of Books in
Subject Area
Sample on This Subject
271
Business
32%
Humanities
25%
212
Natural Science
20%
226
Social Science
15%
112
All other subjects
8%
67
n 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?
0.05
State the null and alternate hypotheses.
: The distributions are the same.
O Ho:
H,: The distributions are the same.
O Ho: The distributions are different.
H,: The distributions are the same.
: The distributions are different.
O Ho:
H,: The distributions are different.
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?
Yes
No
What sampling distribution will you use?
Student's t
O uniform
normal
binomial
Transcribed Image Text: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 Number of Books in Subject Area Sample on This Subject 271 Business 32% Humanities 25% 212 Natural Science 20% 226 Social Science 15% 112 All other subjects 8% 67 n 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? 0.05 State the null and alternate hypotheses. : The distributions are the same. O Ho: H,: The distributions are the same. O Ho: The distributions are different. H,: The distributions are the same. : The distributions are different. O Ho: H,: The distributions are different. 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? Yes No What sampling distribution will you use? Student's t O uniform normal binomial
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