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} H_a: Not all the population means are equal.H₀:_Nurse=_{Tax auditor}=_{Fast-food worker} H_a:_{NurseTax auditorFast-food worker} H₀:_{NurseTax auditorFast-food worker} H_a:_Nurse=_{Tax auditor}=_{Fast-food worker}H₀: At least two of the population means are equal. H_a: At least two of the population means are different.H₀: Not all the population means are equal. H_a:_Nurse=_{Tax auditor}=_{Fast-food worker}Find 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.

x_Nursex_{Tax 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.