A research study concluded that self-employed individuals do not experience higher job satisfaction than individuals who are not self-employed. In this study, job satisfaction is measured using18 items,each of which is rated using a Likert-type scale with 1-5 response options ranging from strong agreement to strong disagreement. A higher score on this scale indicates a higher degree of job satisfaction. The sum of the ratings for the18 items,ranging from 18-90, is used as the measure of job satisfaction. Suppose that this approach was used to measure the job satisfaction for lawyers, physical therapists, cabinetmakers, and systems analysts. Suppose the results obtained for a sample of10 individualsfrom each profession follow.

LawyerPhysical TherapistCabinetmakerSystems Analyst44575446427663717680817144846962515877624861646445625741485478576457827840506064

At the= 0.05 level of significance, test for any difference in the job satisfaction among the four professions.

State the null and alternative hypotheses.

H₀: Not all the population means are equal.

H_a:_L=_PT=_C=_SA

H₀:_L=_PT=_C=_SA

H_a:_LPTCSA

H₀:_LPTCSA

H_a:_L=_PT=_C=_SA

H₀:_L=_PT=_C=_SA

H_a: Not all the population means are equal.

H₀: At least two of the population means are equal.

H_a: At least two of the population means are different.

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.

Do not rejectH₀. There is not sufficient evidence to conclude that the mean job satisfaction rating is not the same for the four professions.

RejectH₀. There is not sufficient evidence to conclude that the mean job satisfaction rating is not the same for the four professions.

Do not rejectH₀. There is sufficient evidence to conclude that the mean job satisfaction rating is not the same for the four professions.

RejectH₀. There is sufficient evidence to conclude that the mean job satisfaction rating is not the same for the four professions.