Listed below are the division designations of teams that won a certain annual tournament, where N denotes a team from division N and A denotes a team from the other division, division A. Do the results suggest that either division is superior? Use the runs test with a significance level of a = 0.05. D ΑΝΑΑΑΝΝΝΑΝΑΑΝΑΑΝΑΑΑΑΑΑΑΝΝΑΑΑΝΝΝΑΝΝΑΑΝΝΑΝΑ Determine the hypotheses. Choose the correct answer below. O A. Ho: The data are in a random sequence. H₁: The data are in a sequence that is not random. O B. Ho: The data are in a sequence that is not random. H₁: The data are in a random sequence. O C. Ho: The data are in a random sequence. H₁: At least some of the data are in a sequence that is not random. Compute the test statistic. ▼ = (Type an integer or decimal rounded to two decimal places as needed.) Determine the critical values. (Use a comma to separate answers as needed. Type an integer or decimal rounded to two decimal places as needed.) Reach a decision. Ho, because the test statistic is There sufficient evidence to conclude that the sequence is not random. Do the results suggest that either division is superior? O A. The runs test suggests that the sequence is not random, and teams from division N have won more of the annual tournaments than teams from division A, so it appears that division N is superior to division A. OB. The runs test suggests that the sequence appears to be random, but it does not test for disproportionately more occurrences of one of the two categories, so the runs test does not suggest that either division is superior. OC. The runs test suggests that the sequence is not random, and teams from division A have won more of the annual tournaments than teams from division N, so it appears that division A is superior to division N.
Listed below are the division designations of teams that won a certain annual tournament, where N denotes a team from division N and A denotes a team from the other division, division A. Do the results suggest that either division is superior? Use the runs test with a significance level of a = 0.05. D ΑΝΑΑΑΝΝΝΑΝΑΑΝΑΑΝΑΑΑΑΑΑΑΝΝΑΑΑΝΝΝΑΝΝΑΑΝΝΑΝΑ Determine the hypotheses. Choose the correct answer below. O A. Ho: The data are in a random sequence. H₁: The data are in a sequence that is not random. O B. Ho: The data are in a sequence that is not random. H₁: The data are in a random sequence. O C. Ho: The data are in a random sequence. H₁: At least some of the data are in a sequence that is not random. Compute the test statistic. ▼ = (Type an integer or decimal rounded to two decimal places as needed.) Determine the critical values. (Use a comma to separate answers as needed. Type an integer or decimal rounded to two decimal places as needed.) Reach a decision. Ho, because the test statistic is There sufficient evidence to conclude that the sequence is not random. Do the results suggest that either division is superior? O A. The runs test suggests that the sequence is not random, and teams from division N have won more of the annual tournaments than teams from division A, so it appears that division N is superior to division A. OB. The runs test suggests that the sequence appears to be random, but it does not test for disproportionately more occurrences of one of the two categories, so the runs test does not suggest that either division is superior. OC. The runs test suggests that the sequence is not random, and teams from division A have won more of the annual tournaments than teams from division N, so it appears that division A is superior to division N.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![### Runs Test for Randomness in Tournament Wins
Listed below are the division designations of teams that won a certain annual tournament, where N denotes a team from division N and A denotes a team from the other division, division A. Do the results suggest that either division is superior? Use the runs test with a significance level of \(\alpha = 0.05\).
**Data Sequence:**
A N A A N A N N N A A A N N A A N N N N N N N A A N N A A N N N N A N A A N N N A N N N A A N A
---
**Step 1: Determine the Hypotheses**
Choose the correct answer below.
- (A) \(H_0\): The data are in a random sequence. \\
\(H_1\): The data are in a sequence that is not random.
- (B) \(H_0\): The data are in a sequence that is not random. \\
\(H_1\): The data are in a random sequence.
- (C) \(H_0\): The data are in a random sequence. \\
\(H_1\): At least some of the data are in a sequence that is not random.
---
**Step 2: Compute the Test Statistic**
Please compute the test statistic and input the value:
\[ V = \text{(type an integer or decimal rounded to two decimal places as needed)} \]
---
**Step 3: Determine the Critical Values**
Provide the critical values:
\[ \text{(use a comma to separate answers as needed. Type an integer or decimal rounded to two decimal places as needed)} \]
---
**Step 4: Reach a Decision**
Reject or fail to reject \(H_0\) based on the computed statistic and critical values:
\[ H_0, \text{ because the test statistic is } \]
\[ \text{(fill in the drop-down menu options)} \]
\[ \text{There is or is not sufficient evidence to conclude that the sequence is not random.} \]
---
**Step 5: Conclusion**
Do the results suggest that either division is superior?
- (A) The runs test suggests that the sequence is not random, and teams from division N have won more of the annual tournaments than teams from division A, so it appears that division N is superior to division A](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9e2dce9f-bcdf-4f32-a081-371e2dab1fcb%2F086dc7d1-816b-4385-a6c8-68f0f36972f2%2Fnbff7c_processed.png&w=3840&q=75)
Transcribed Image Text:### Runs Test for Randomness in Tournament Wins
Listed below are the division designations of teams that won a certain annual tournament, where N denotes a team from division N and A denotes a team from the other division, division A. Do the results suggest that either division is superior? Use the runs test with a significance level of \(\alpha = 0.05\).
**Data Sequence:**
A N A A N A N N N A A A N N A A N N N N N N N A A N N A A N N N N A N A A N N N A N N N A A N A
---
**Step 1: Determine the Hypotheses**
Choose the correct answer below.
- (A) \(H_0\): The data are in a random sequence. \\
\(H_1\): The data are in a sequence that is not random.
- (B) \(H_0\): The data are in a sequence that is not random. \\
\(H_1\): The data are in a random sequence.
- (C) \(H_0\): The data are in a random sequence. \\
\(H_1\): At least some of the data are in a sequence that is not random.
---
**Step 2: Compute the Test Statistic**
Please compute the test statistic and input the value:
\[ V = \text{(type an integer or decimal rounded to two decimal places as needed)} \]
---
**Step 3: Determine the Critical Values**
Provide the critical values:
\[ \text{(use a comma to separate answers as needed. Type an integer or decimal rounded to two decimal places as needed)} \]
---
**Step 4: Reach a Decision**
Reject or fail to reject \(H_0\) based on the computed statistic and critical values:
\[ H_0, \text{ because the test statistic is } \]
\[ \text{(fill in the drop-down menu options)} \]
\[ \text{There is or is not sufficient evidence to conclude that the sequence is not random.} \]
---
**Step 5: Conclusion**
Do the results suggest that either division is superior?
- (A) The runs test suggests that the sequence is not random, and teams from division N have won more of the annual tournaments than teams from division A, so it appears that division N is superior to division A
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