You may need to use the appropriate appendix table or technology to answer this question. Samples of starting annual salaries for individuals entering the public accounting and financial planning professions follow. Annual salaries are shown in thousands of dollars. Public Accountant Financial Planner 51.2 57.8 57.3 58.2 53.2 55.0 51.9 58.5 57.0 52.9 49.0 50.2 54.1 54.9 Find the value of the test statistic. W = 75.50 X 52.9 53.6 49.7 53.9 52.8 (a) Use a 0.05 level of significance and test the hypothesis that there is no difference between the starting annual salaries of public accountants and financial planners. State the null and alternative hypotheses. O Ho: Median salary for public accountants - Median salary for financial planners ≤ 0 H₂: Median salary for public accountants - Median salary for financial planners > 0 48.9 O Ho: The two populations of salaries are identical. H₂: The two populations of salaries are not identical. O Ho: Median salary for public accountants - Median salary for financial planners 20 H₂: Median salary for public accountants - Median salary for financial planners < 0 Financial Planners O Ho: Median salary for public accountants - Median salary for financial planners > 0 H₂: Median salary for public accountants - Median salary for financial planners = 0 O Ho: The two populations of salaries are not identical. H₂: The two populations of salaries are identical. Find the p-value. (Round your answer to four decimal places.) p-value = 0.0587 x What is your conclusion? O Do not reject Ho. There is not sufficient evidence to conclude that there is a significant difference between the starting annual salaries of public accountants and financial planners. O Reject Ho. There is not sufficient evidence to conclude that there is a significant difference between the starting annual salaries of public accountants and financial planners. O Do not reject Ho. There is sufficient evidence to conclude that there is a significant difference between the starting annual salaries of public accountants and financial planners. O Reject Ho. There is sufficient evidence to conclude that there is a significant difference between the starting annual salaries of public accountants and financial planners. (b) What are the sample median annual salaries (in $) for the two professions? Public Accountants sample median = $ 56 X sample median = $ 52.85 X

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 22PFA
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You may need to use the appropriate appendix table or technology to answer this question.
Samples of starting annual salaries for individuals entering the public accounting and financial planning professions follow. Annual
salaries are shown in thousands of dollars.
Public Accountant Financial Planner
51.2
57.8
57.3
58.2
53.2
55.0
51.9
58.5
57.0
52.9
49.0
50.2
54.1
54.9
52.9
Find the value of the test statistic..
W 75.50
X
53.6
49.7
53.9
52.8
(a) Use a 0.05 level of significance and test the hypothesis that there is no difference between the starting annual salaries of
public accountants and financial planners.
State the null and alternative hypotheses.
48.9
O Ho: Median salary for public accountants - Median salary for financial planners ≤ 0
H₂: Median salary for public accountants - Median salary for financial planners > 0
● Ho: The two populations of salaries are identical.
Ha: The two populations of salaries are not identical.
O Ho: Median salary for public accountants - Median salary for financial planners > 0
H₂: Median salary for public accountants - Median salary for financial planners < 0
Financial Planners
O Ho: Median salary for public accountants - Median salary for financial planners > 0
H₂: Median salary for public accountants - Median salary for financial planners = 0
O Ho: The two populations of salaries are not identical.
H₂: The two populations of salaries are identical.
Find the p-value. (Round your answer to four decimal places.)
p-value = 0.0587 X
What is your conclusion?
O Do not reject Ho. There is not sufficient evidence to conclude that there is a significant difference between the
starting annual salaries of public accountants and financial planners.
O Reject Ho. There is not sufficient evidence to conclude that there is a significant difference between the starting
annual salaries of public accountants and financial planners.
O Do not reject Ho. There is sufficient evidence to conclude that there is a significant difference between the starting
annual salaries of public accountants and financial planners.
O Reject Ho. There is sufficient evidence to conclude that there is a significant difference between the starting annual
salaries of public accountants and financial planners.
(b) What are the sample median annual salaries (in $) for the two professions?
Public Accountants
sample median = $56
X
sample median = $ 52.85
x
Transcribed Image Text:You may need to use the appropriate appendix table or technology to answer this question. Samples of starting annual salaries for individuals entering the public accounting and financial planning professions follow. Annual salaries are shown in thousands of dollars. Public Accountant Financial Planner 51.2 57.8 57.3 58.2 53.2 55.0 51.9 58.5 57.0 52.9 49.0 50.2 54.1 54.9 52.9 Find the value of the test statistic.. W 75.50 X 53.6 49.7 53.9 52.8 (a) Use a 0.05 level of significance and test the hypothesis that there is no difference between the starting annual salaries of public accountants and financial planners. State the null and alternative hypotheses. 48.9 O Ho: Median salary for public accountants - Median salary for financial planners ≤ 0 H₂: Median salary for public accountants - Median salary for financial planners > 0 ● Ho: The two populations of salaries are identical. Ha: The two populations of salaries are not identical. O Ho: Median salary for public accountants - Median salary for financial planners > 0 H₂: Median salary for public accountants - Median salary for financial planners < 0 Financial Planners O Ho: Median salary for public accountants - Median salary for financial planners > 0 H₂: Median salary for public accountants - Median salary for financial planners = 0 O Ho: The two populations of salaries are not identical. H₂: The two populations of salaries are identical. Find the p-value. (Round your answer to four decimal places.) p-value = 0.0587 X What is your conclusion? O Do not reject Ho. There is not sufficient evidence to conclude that there is a significant difference between the starting annual salaries of public accountants and financial planners. O Reject Ho. There is not sufficient evidence to conclude that there is a significant difference between the starting annual salaries of public accountants and financial planners. O Do not reject Ho. There is sufficient evidence to conclude that there is a significant difference between the starting annual salaries of public accountants and financial planners. O Reject Ho. There is sufficient evidence to conclude that there is a significant difference between the starting annual salaries of public accountants and financial planners. (b) What are the sample median annual salaries (in $) for the two professions? Public Accountants sample median = $56 X sample median = $ 52.85 x
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