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 Bridgeport, San Jose, Washington, Lexington Park, Millionaire ст CA D.C. MD Yes 44 35 36 35 No 456 265 364 365 a. What is the estimate of the percentage of millionaires in each of these cities (to 1 decimal)? Bridgeport, San Jose, Washington, Lexington Park, CT CA D.C. MD Percentage, % 8.80 11.67 9.00 8.50 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). Use Table 3 of Appendix B to find the p-value. The p-value is greater than 0.10 What is your conclusion? Cannot conclude : that there is a difference among the population proportion of millionaires for these four cities.
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 Bridgeport, San Jose, Washington, Lexington Park, Millionaire ст CA D.C. MD Yes 44 35 36 35 No 456 265 364 365 a. What is the estimate of the percentage of millionaires in each of these cities (to 1 decimal)? Bridgeport, San Jose, Washington, Lexington Park, CT CA D.C. MD Percentage, % 8.80 11.67 9.00 8.50 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). Use Table 3 of Appendix B to find the p-value. The p-value is greater than 0.10 What is your conclusion? Cannot conclude : 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
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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