What sampling distribution will you use? O binomial O normal O Student's t O uniform O chi-square What are the degrees of freedom? (c) Estimate the P value of the sample test stat istic. O P-value > 0.100 O 0,050 < p value < 0.100 O 0.025 < p value < 0.050 O 0.010 < p-value < 0.025 O 0.005 < p value < 0.010 O p-value < 0.005 (d) Based on your answers in parts (a) to (c), wll you reject or fail to reject the null hypothesis of independence? O Since the p-value > a, we fail to reject the null hypothesis.

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O Mastering Biology
O No
What sampling distribution will you use?
O binomial
O normal
O Student's t
O uniform
O 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
O 0.010 < p-value < 0.025
O 0.005 < P value < 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 fail to reject the null hypothesis.
O Since the P-value > a, we reject the null hypothesis.
O Since the p-value s a, we reject the null hypothesis.
O Since the P-value < a, we fail to refect the null hypothesis.
(e) Interpret your conclusion in the context of the application.
O At the 5% level of significance, the evidence is sufficlent to conclude that the subject distributlon 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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11:00 AM
O 75°F Mostly sunny
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Transcribed Image Text:O Mastering Biology O No What sampling distribution will you use? O binomial O normal O Student's t O uniform O 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 O 0.010 < p-value < 0.025 O 0.005 < P value < 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 fail to reject the null hypothesis. O Since the P-value > a, we reject the null hypothesis. O Since the p-value s a, we reject the null hypothesis. O Since the P-value < a, we fail to refect the null hypothesis. (e) Interpret your conclusion in the context of the application. O At the 5% level of significance, the evidence is sufficlent to conclude that the subject distributlon 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. Type here to search 11:00 AM O 75°F Mostly sunny 23
Tube Mastering Biology -
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
Business
Humanities
Natural Science
Social Science
All other subjects
Sample on This Subject
248
226
227
32%
25%
20%
15%
8%
104
83
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 :he same.
H,: The distributicns are the same.
O Ho: The distributions are the same.
H: The distributions are di'ferent.
O H: The distributions are different
H: The distributions are the same.
OH The distributions are different.
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
11:00 AM
P Type here to search
75°F Mostly sunny
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7/30/2021
Transcribed Image Text:Tube Mastering Biology - 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 Business Humanities Natural Science Social Science All other subjects Sample on This Subject 248 226 227 32% 25% 20% 15% 8% 104 83 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 :he same. H,: The distributicns are the same. O Ho: The distributions are the same. H: The distributions are di'ferent. O H: The distributions are different H: The distributions are the same. OH The distributions are different. 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 11:00 AM P Type here to search 75°F Mostly sunny 36 7/30/2021
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