An article discusses the different roles taken by lionesses as they attack and capture prey. The authors were interested in the effect of the position in line as stalking occurs. An individual lioness may be in the center of the line or on the wing (end of the line) as they advance toward their prey. In addition to position, the role of the lioness was also considered. A lioness could initiate a chase (be the first one to charge the prey), or she could participate and join the chase after it has been initiated. Data from the article are summarized in the accompanying table. Role Position Initiate Chase Participate in Chase Center Wing 27 68 46 45 (a) Is there evidence of an association between position and role? Test the relevant hypotheses using a = 0.01. State the null and alternative hypotheses. O Ho: Position and role are independent. H: Position and role are not independent. O Ho: Role category proportions are not all the same for lionesses who are in the center of the line or on the wing. H: Role category proportions are the same for lionesses who are in the center of the line or on the wing. O Ho: Position and role are not independent. H: Position and role are independent. O Ho: Role category proportions are the same for lionesses who are in the center of the line or on the wing. H: Role category proportions are not all the same for lionesses who are in the center of the line or on the wing. Calculate the test statistic. (Round your answer to two decimal places.) What is the P-value for the test? (Use a statistical computer package to calculate the P-value. Round your answer to four decimal places.) P-value= What can you conclude? O Reject Ho. There is convincing evidence that there is an association between position and role. O Do not reject Ho. There is convincing evidence that there is an association between position and role. O Reject Ho. There is not convincing evidence that there is an association between position and role. O Do not reject Ho. There is not convincing evidence that there is an association between position and role. (b) What assumptions about how the data were collected must be true for the chi-square test to be an appropriate way to analyze these data? (Select all that apply.) The same number of each group was selected for the sample. The data was selected through random sampling.
An article discusses the different roles taken by lionesses as they attack and capture prey. The authors were interested in the effect of the position in line as stalking occurs. An individual lioness may be in the center of the line or on the wing (end of the line) as they advance toward their prey. In addition to position, the role of the lioness was also considered. A lioness could initiate a chase (be the first one to charge the prey), or she could participate and join the chase after it has been initiated. Data from the article are summarized in the accompanying table. Role Position Initiate Chase Participate in Chase Center Wing 27 68 46 45 (a) Is there evidence of an association between position and role? Test the relevant hypotheses using a = 0.01. State the null and alternative hypotheses. O Ho: Position and role are independent. H: Position and role are not independent. O Ho: Role category proportions are not all the same for lionesses who are in the center of the line or on the wing. H: Role category proportions are the same for lionesses who are in the center of the line or on the wing. O Ho: Position and role are not independent. H: Position and role are independent. O Ho: Role category proportions are the same for lionesses who are in the center of the line or on the wing. H: Role category proportions are not all the same for lionesses who are in the center of the line or on the wing. Calculate the test statistic. (Round your answer to two decimal places.) What is the P-value for the test? (Use a statistical computer package to calculate the P-value. Round your answer to four decimal places.) P-value= What can you conclude? O Reject Ho. There is convincing evidence that there is an association between position and role. O Do not reject Ho. There is convincing evidence that there is an association between position and role. O Reject Ho. There is not convincing evidence that there is an association between position and role. O Do not reject Ho. There is not convincing evidence that there is an association between position and role. (b) What assumptions about how the data were collected must be true for the chi-square test to be an appropriate way to analyze these data? (Select all that apply.) The same number of each group was selected for the sample. The data was selected through random sampling.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:An article discusses the different roles taken by lionesses as they attack and capture prey. The authors were interested in the effect of the position in line as stalking occurs. An individual lioness may be in the center of the line or on the wing (end of the line) as they
advance toward their prey. In addition to position, the role of the lioness was also considered. A lioness could initiate a chase (be the first one to charge the prey), or she could participate and join the chase after it has been initiated. Data from the article are summarized in
the accompanying table.
Role
Position Initiate Chase Participate in Chase
Center
Wing
27
68
46
45
(a) Is there evidence of an association between position and role? Test the relevant hypotheses using a = 0.01.
State the null and alternative hypotheses.
O Ho: Position and role are independent.
H: Position and role are not independent.
O Ho: Role category proportions are not all the same for lionesses who are in the center of the line or on the wing.
H: Role category proportions are the same for lionesses who are in the center of the line or on the wing.
O Ho: Position and role are not independent.
H: Position and role are independent.
O Ho: Role category proportions are the same for lionesses who are in the center of the line or on the wing.
H: Role category proportions are not all the same for lionesses who are in the center of the line or on the wing.
Calculate the test statistic. (Round your answer to two decimal places.)
What is the P-value for the test? (Use a statistical computer package to calculate the P-value. Round your answer to four decimal places.)
P-value=
What can you conclude?
O Reject Ho. There is convincing evidence that there is an association between position and role.
O Do not reject Ho. There is convincing evidence that there is an association between position and role.
O Reject Ho. There is not convincing evidence that there is an association between position and role.
O Do not reject Ho. There is not convincing evidence that there is an association between position and role.
(b) What assumptions about how the data were collected must be true for the chi-square test to be an appropriate way to analyze these data? (Select all that apply.)
The same number of each group was selected for the sample.
The data was selected through random sampling.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 1 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman