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 = 80 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 New Orleans Chicago Las Vegas 23 18 9 8 22 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. ANSWER H0: H1: Frequency expected, fe: Computed Chi2 statistic: Df for decision about H0: Critical Ch2 for decision about H0: Decision about H0 (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).

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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Question

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 = 80 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	New Orleans	Chicago	Las Vegas
23	18	9	8	22

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.

ANSWER

H₀:
H₁:
Frequency expected, f_e:
Computed Chi² statistic:
Df for decision about H₀:
Critical Ch² for decision about H₀:
Decision about H₀ (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).