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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
icon
Related questions
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 = 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).
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).
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning