In a 2018 study, Phoenix Marketing International identified Bridgeport, Connecticut; San Jose, California; Washington, DC; and Lexington Park, Maryland, as the four U.S. cities with the highest percentage of millionaires (Kiplinger website). Consider a sample of data that show the following number of millionaires for samples of individuals from each of the four cities. City ETITT Bridgeport, San Jose, Washington, Lexington Park, Millionaire ст CA D.C. MD 44 36 35 34 Yes No 456 264 365 366 a. What is the estimate of the percentage of milionaires in each of these cities (to 1 decimal)? Bridgeport, San Jose, Washington, Lexington Park, ст CA D.C. MD Percentage, % 12 8.3 b. Using a =0.05 level of significance, test for the equality of the population proportion of millionaires for these four cities. What is the p-value? Compute the value of the X test statistic (to 3 decimals). 6.490 Use Table 3 of Appendix B to find the p-value. The p-value is greater than O.10 What is your conclusion? Cannot concdude that there is a difference among the population proportion of millionaires for these four cities.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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In a 2018 study, Phoenix Marketing International identified Bridgeport, Connecticut; San Jose, California; Washington, DC; and Lexington Park, Maryland, as the
four U.S. cities with the highest percentage of millionaires (Kiplinger website). Consider a sample of data that show the following number of millionaires for
samples of individuals from each of the four cities.
City
TITT
Bridgeport,
Washington,
Lexington Park,
San Jose,
Millionaire
ст
CA
D.C.
MD
44
36
35
34
Yes
No
456
264
365
366
a. What is the estimate of the percentage of millionaires in each of these cities (to 1 decimal)?
Bridgeport,
San Jose,
Washington,
Lexington Park,
ст
CA
D.C.
MD
Percentage, %
12
8.3
b. Using a =0.05 level of significance, test for the equality of the population proportion of millionaires for these four cities. What is the p-value?
Compute the value of the X test statistic (to 3 decimals).
6.490
Use Table 3 of Appendix B to find the p-value.
The p-value is greater than O.10
What is your conclusion?
Cannot concdude
that there is a difference among the population proportion of millionaires for these four cities.
Transcribed Image Text:In a 2018 study, Phoenix Marketing International identified Bridgeport, Connecticut; San Jose, California; Washington, DC; and Lexington Park, Maryland, as the four U.S. cities with the highest percentage of millionaires (Kiplinger website). Consider a sample of data that show the following number of millionaires for samples of individuals from each of the four cities. City TITT Bridgeport, Washington, Lexington Park, San Jose, Millionaire ст CA D.C. MD 44 36 35 34 Yes No 456 264 365 366 a. What is the estimate of the percentage of millionaires in each of these cities (to 1 decimal)? Bridgeport, San Jose, Washington, Lexington Park, ст CA D.C. MD Percentage, % 12 8.3 b. Using a =0.05 level of significance, test for the equality of the population proportion of millionaires for these four cities. What is the p-value? Compute the value of the X test statistic (to 3 decimals). 6.490 Use Table 3 of Appendix B to find the p-value. The p-value is greater than O.10 What is your conclusion? Cannot concdude that there is a difference among the population proportion of millionaires for these four cities.
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