To assess the likely results of an upcoming election, the 5 members of a presumably representative "focus group" of eligible voters are each asked to rank the 3 candidates, A, B, and C, in the order of their preference (1=most preferred, 3=least preferred). The investigator wants to determine if there is a difference between candidates with respect to the preference of the subjects. The table below shows the results. Member A B C 1 2 3 1 2 1 2 3 3 1 3 2 4 3 1 2 5 1 3 2
To assess the likely results of an upcoming election, the 5 members of a presumably representative "focus group" of eligible voters are each asked to rank the 3 candidates, A, B, and C, in the order of their preference (1=most preferred, 3=least preferred). The investigator wants to determine if there is a difference between candidates with respect to the preference of the subjects. The table below shows the results. Member A B C 1 2 3 1 2 1 2 3 3 1 3 2 4 3 1 2 5 1 3 2
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 13PT
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Question
To assess the likely results of an upcoming election, the 5 members of a presumably representative "focus group" of eligible voters are each asked to rank the 3 candidates, A, B, and C, in the order of their preference (1=most preferred, 3=least preferred). The investigator wants to determine if there is a difference between candidates with respect to the preference of the subjects. The table below shows the results.
Member |
A |
B |
C |
1 |
2 |
3 |
1 |
2 |
1 |
2 |
3 |
3 |
1 |
3 |
2 |
4 |
3 |
1 |
2 |
5 |
1 |
3 |
2 |
- State the hypotheses.
- What statistical test should be used to determine if there is a difference between candidates with respect to the preference of the subjects?
- Determine the appropriate critical value and set up the decision rule. (α=0.01)
- Compute the test statistic.
- Interpret your results.
- Give your conclusion.
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