A travel agency is interested if there is a difference in preference for U.S. city as a favorite travel destination. A sample of n = 70 adults was given a choice of five U.S. cities and asked to indicate their favorite city to visit on the next trip. The data from the sample (i.e., the number of participants who selected each city as their favorite destination) are presented in the table. New York San Francisco Washington D.C. 18 17 22 Chicago 13
A travel agency is interested if there is a difference in preference for U.S. city as a favorite travel destination. A sample of n = 70 adults was given a choice of five U.S. cities and asked to indicate their favorite city to visit on the next trip. The data from the sample (i.e., the number of participants who selected each city as their favorite destination) are presented in the table. New York San Francisco Washington D.C. 18 17 22 Chicago 13
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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Transcribed Image Text:A travel agency is interested if there is a difference in preference for U.S. city as a
favorite travel destination. A sample of n = 70 adults was given a choice of five U.S.
cities and asked to indicate their favorite city to visit on the next trip. The data from
the sample (i.e., the number of participants who selected each city as their favorite
destination) are presented in the table.
New York
ANSWER
Ho:
H₁:
●
18
●
San Francisco Washington D.C.
●
17
Do the data indicate a significant difference in preference toward favorite U.S. cities
to visit? Test at the .05 level of significance. Follow the steps of hypothesis testing
and insert your answers below. In your computations, round numbers to two decimal
points to avoid rounding errors.
• Frequency expected, fe:
●
Computed Chi² statistic:
22
Chicago
Df for decision about Ho:
Critical Ch² for decision about Ho:
13
• Decision about Ho (i.e., reject or fail to reject):
• Conclusion in APA format (i.e., is there a significant difference in preferences
or not? If there is, describe the preferences - which cities are liked more/less?
Make sure to follow the APA reporting format in your conclusion, see examples
on the lecture slides).
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