In: Math
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 |
|---|---|
| 49.2 | 49.0 |
| 58.8 | 48.2 |
| 57.3 | 52.1 |
| 57.2 | 54.9 |
| 54.2 | 52.9 |
| 55.0 | 53.6 |
| 49.9 | 48.7 |
| 59.5 | 53.9 |
| 58.0 | 52.8 |
| 52.9 | 48.9 |
(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.
H0: The two populations of salaries are not
identical.
Ha: The two populations of salaries are
identical.H0: Median salary for public
accountants − Median salary for financial planners ≤ 0
Ha: Median salary for public accountants −
Median salary for financial planners >
0 H0: The two
populations of salaries are identical.
Ha: The two populations of salaries are not
identical.H0: Median salary for public
accountants − Median salary for financial planners ≥ 0
Ha: Median salary for public accountants −
Median salary for financial planners < 0H0:
Median salary for public accountants − Median salary for financial
planners > 0
Ha: Median salary for public accountants −
Median salary for financial planners = 0
Find the value of the test statistic.
W =
Find the p-value. (Round your answer to four decimal places.)
p-value =
What is your conclusion?
Reject H0. There is not sufficient evidence to conclude that there is a significant difference between the starting annual salaries of public accountants and financial planners.
Do not reject H0. There is not sufficient evidence to conclude that there is a significant difference between the starting annual salaries of public accountants and financial planners.
Reject H0. There is sufficient evidence to conclude that there is a significant difference between the starting annual salaries of public accountants and financial planners.
Do not reject H0. There is sufficient evidence to conclude that there is a significant difference between the starting annual salaries of public accountants and financial planners.
What are the sample median annual salaries (in $) for the two professions?
Public Accountantssample median=$
Financial Plannerssample median=$