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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 using 18 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 the 18 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 of 10 individuals from each profession follow. Lawyer | Physical Therapist | Cabinetmaker | Systems Analyst 42 55 54 44 42 78 63 73 74 380 81 73 42 386 71 62 55 62 81 64 48 59 64 oe 47 64 59 43 46 54 76 57 66 55 86 78 40 52 60 64 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. O Ao: Hy # Upp # Me # Mga, As? My = Hey = Me = Bsa O Ho: At least two of the population means are equal H,: At least two of the population means are different. O Hp: Not all the population means are equal. Aa? HL = Mpp = He = Bsa O Ag? BL = Ber = He = Esa H,: Not all the population means are equal O Ag? B= Hep = He = Psa Aa? AL * Hp * Kc * Ma Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) State your conclusion. Reject H,. There is sufficient evidence to conclude that the mean job satisfaction rating is not the same for the four professions. Do not reject H). There is sufficient evidence to conclude that the mean job satisfaction rating is not the same for the four professions. Do not reject H). There is not sufficient evidence to conclude that the mean job satisfaction rating is not the same for the four professions. Reject Hy: There is not sufficient evidence to conclude that the mean job satisfaction rating is not the same for the four professions