A Pew Research study conducted in 2017 found that approximately 75% of Americans believe that robots and
Question:
A Pew Research study conducted in 2017 found that approximately 75% of Americans believe that robots and computers might one day do many of the jobs currently done by people.Suppose we have the following data collected from nurses, tax auditors, and fast-food workers in which a higher score means the person feels his or her job is more likely to be automated.
| Nurse | Tax Auditor | Fast-Food Worker |
|---|---|---|
| 4 | 4 | 5 |
| 4 | 5 | 7 |
| 6 | 4 | 5 |
| 3 | 3 | 8 |
| 3 | 7 | 4 |
| 3 | 3 | 6 |
| 5 | 6 | 5 |
| 2 | 2 | 8 |
(a)Use= 0.05 to test for differences in the belief that a person's job is likely to be automated for the three professions.State the null and alternative hypotheses.H0:Nurse=Tax auditor=Fast-food worker Ha: Not all the population means are equal.H0:Nurse=Tax auditor=Fast-food worker Ha:NurseTax auditorFast-food worker H0:NurseTax auditorFast-food worker Ha:Nurse=Tax auditor=Fast-food workerH0: At least two of the population means are equal. Ha: At least two of the population means are different.H0: Not all the population means are equal. Ha:Nurse=Tax auditor=Fast-food workerFind the value of the test statistic. (Round your answer to two decimal places.)Find thep-value. (Round your answer to three decimal places.)p-value = State your conclusion.RejectH0. There is not sufficient evidence to conclude that there is a difference in mean scores for the three professions.RejectH0. There is sufficient evidence to conclude that there is a difference in mean scores for the three professions. Do not rejectH0. There is sufficient evidence to conclude that there is a difference in mean scores for the three professions.Do not rejectH0. There is not sufficient evidence to conclude that there is a difference in mean scores for the three professions.(b)Use Fisher's LSD procedure to compare the belief that a person's job will be automated for nurses and tax auditors. (Use= 0.05.)Find the value of LSD. (Round your answer to two decimal places.)LSD = Find the pairwise absolute difference between sample means for nurses and tax auditors.
xNursexTax auditor
=
What conclusion can you draw after carrying out this test?There is a significant difference between the means for nurses and tax auditors.There is not a significant difference between the means for nurses and tax auditors.
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