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 47 38 39 37 No 453 262 361 363 (1) 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 % (2) 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. A) H0: At least two of the population proportions are equal. Ha: None of the population proportions are equal. B) H0: Not all population proportions are equal. Ha: pB = pL = pN = pW C) H0: pB = pL = pN = pW Ha: Not all population proportions are equal. D) H0: pB ≠ pL ≠ pN ≠ pW Ha: All population proportions are equal. (3) 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: A) Reject H0. We conclude that there is a difference among the population proportion of millionaires for these four cities. B) Do not reject H0. We conclude that there is a difference among the population proportion of millionaires for these four cities. C)Reject H0. We cannot conclude that there is a difference among the population proportion of millionaires for these four cities. D) Do not reject H0. We cannot conclude that there is a difference among the population proportion of millionaires for these four cities.
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 47 38 39 37 No 453 262 361 363 (1) 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 % (2) 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. A) H0: At least two of the population proportions are equal. Ha: None of the population proportions are equal. B) H0: Not all population proportions are equal. Ha: pB = pL = pN = pW C) H0: pB = pL = pN = pW Ha: Not all population proportions are equal. D) H0: pB ≠ pL ≠ pN ≠ pW Ha: All population proportions are equal. (3) 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: A) Reject H0. We conclude that there is a difference among the population proportion of millionaires for these four cities. B) Do not reject H0. We conclude that there is a difference among the population proportion of millionaires for these four cities. C)Reject H0. We cannot conclude that there is a difference among the population proportion of millionaires for these four cities. D) Do not reject H0. We cannot conclude that there is a difference among the population proportion of millionaires for these four cities.
MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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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 | 47 | 38 | 39 | 37 |
No | 453 | 262 | 361 | 363 |
(1) 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 %
(2)
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.
A) H0: At least two of the population proportions are equal.
Ha: None of the population proportions are equal.
Ha: None of the population proportions are equal.
B) H0: Not all population proportions are equal.
Ha: pB = pL = pN = pW
Ha: pB = pL = pN = pW
C) H0: pB = pL = pN = pW
Ha: Not all population proportions are equal.
Ha: Not all population proportions are equal.
D) H0: pB ≠ pL ≠ pN ≠ pW
Ha: All population proportions are equal.
Ha: All population proportions are equal.
(3) 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:
A) Reject H0. We conclude that there is a difference among the population proportion of millionaires for these four cities.
B) Do not reject H0. We conclude that there is a difference among the population proportion of millionaires for these four cities. C)Reject H0. We cannot conclude that there is a difference among the population proportion of millionaires for these four cities.
D) Do not reject H0. We cannot conclude that there is a difference among the population proportion of millionaires for these four cities.
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