A study identified Bridgeport, Connecticut, San Jose, California, Washington, D.C., and Lexington Park, Maryland as the four U.S. cities wit millionaires for samples of individuals from each of the four cities. Millionaire Yes No Washington, D.C. Lexington Park, MD Bridgeport, CT San Jose, CA Washington, D.C. Lexington Park, MD 40 49 451 260 % % % % City 41 (a) What is the estimate of the percentage of millionaires in each of these cities? (Round your answers to two decimal places.) Bridgeport, CT San Jose, CA O Ho: At least two of the population proportions are equal. H: None of the population proportions are equal. Ho: PB PL PN* PW # H: All population proportions are equal. O Ho: Not all population proportions are equal. 359 39 361 (b) Using a 0.05 level of significance, test for the equality of the population proportion of millionaires for these four cities. State the null and alternative hypotheses. O Ho: PBPL-PN - Pw H: Not all population proportions are equal.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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A study identified Bridgeport, Connecticut, San Jose, California, Washington, D.C., and Lexington Park, Maryland as the four U.S. cities with the highest percentage of millionaires. The following data show the following number of
millionaires for samples of individuals from each of the four cities.
Millionaire
Yes
No
Bridgeport, CT
49
451
%
%
O Ho: PB #PL# PN* PW
=
San Jose, CA
%
%
40
260
Ha:
: Not all population proportions are equal.
City
(a) What is the estimate of the percentage of millionaires in each of these cities? (Round your answers to two decimal places.)
Bridgeport, CT
San Jose, CA
Washington, D.C.
Lexington Park, MD
H₂:
: All population proportions are equal.
Washington, D.C. Lexington Park, MD
O Ho: At least two of the population proportions are equal.
Ha:
: None of the population proportions are equal.
(b) Using a 0.05 level of significance, test for the equality of the population proportion of millionaires for these four cities.
State the null and alternative hypotheses.
O Ho: PB = PL = PN = Pw
41
359
Find the p-value. (Round your answer to four decimal places.)
p-value
O Ho: Not all population proportions are equal.
Ha: PB = PL = PN = Pw
Find the value of the test statistic. (Round your answer to three decimal places.)
39
361
Transcribed Image Text:A study identified Bridgeport, Connecticut, San Jose, California, Washington, D.C., and Lexington Park, Maryland as the four U.S. cities with the highest percentage of millionaires. The following data show the following number of millionaires for samples of individuals from each of the four cities. Millionaire Yes No Bridgeport, CT 49 451 % % O Ho: PB #PL# PN* PW = San Jose, CA % % 40 260 Ha: : Not all population proportions are equal. City (a) What is the estimate of the percentage of millionaires in each of these cities? (Round your answers to two decimal places.) Bridgeport, CT San Jose, CA Washington, D.C. Lexington Park, MD H₂: : All population proportions are equal. Washington, D.C. Lexington Park, MD O Ho: At least two of the population proportions are equal. Ha: : None of the population proportions are equal. (b) Using a 0.05 level of significance, test for the equality of the population proportion of millionaires for these four cities. State the null and alternative hypotheses. O Ho: PB = PL = PN = Pw 41 359 Find the p-value. (Round your answer to four decimal places.) p-value O Ho: Not all population proportions are equal. Ha: PB = PL = PN = Pw Find the value of the test statistic. (Round your answer to three decimal places.) 39 361
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