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 City Bridgeport, CT San Jose, CA Washington, D.C. Lexington Park, MD Yes 39 30 31 29 No 461 270 369 371 (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 % (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. H0: pB = pL = pN = pW Ha: Not all population proportions are equal.H0: Not all population proportions are equal. Ha: pB = pL = pN = pW H0: pB ≠ pL ≠ pN ≠ pW Ha: All population proportions are equal.H0: At least two of the population proportions are equal. Ha: None of the population proportions are equal. Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Do not reject H0. We cannot conclude that there is a difference among the population proportion of millionaires for these four cities. Reject H0. We conclude that there is a difference among the population proportion of millionaires for these four cities. Reject H0. We cannot conclude that there is a difference among the population proportion of millionaires for these four cities.Do not reject H0. We conclude that there is a difference among the population proportion of millionaires for these four cities.

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 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	City
Bridgeport, CT	San Jose, CA	Washington, D.C.	Lexington Park, MD
Yes	39	30	31	29
No	461	270	369	371

(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 %

(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.

H₀: p_B = p_L = p_N = p_W
H_a: Not all population proportions are equal.H₀: Not all population proportions are equal.
H_a: p_B = p_L = p_N = p_W H₀: p_B ≠ p_L ≠ p_N ≠ p_W
H_a: All population proportions are equal.H₀: At least two of the population proportions are equal.
H_a: None of the population proportions are equal.

Find the value of the test statistic. (Round your answer to three decimal places.)

Find the p-value. (Round your answer to four decimal places.)

p-value =

State your conclusion.

Do not reject H₀. We cannot conclude that there is a difference among the population proportion of millionaires for these four cities. Reject H₀. We conclude that there is a difference among the population proportion of millionaires for these four cities. Reject H₀. We cannot conclude that there is a difference among the population proportion of millionaires for these four cities.Do not reject H₀. We conclude that there is a difference among the population proportion of millionaires for these four cities.

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