The following data are from an experiment designed to investigate the perception of corporate ethical values among individuals specializing in marketing (higher scores indicate higher ethical values)....

Hypothesis testing

Extracted text: The following data are from an experiment designed to investigate the perception of corporate ethical values among individuals specializing in marketing (higher scores indicate higher ethical values). Marketing Marketing Managers Advertising Research 3 7 4 4 6. 6. 5 6. 5 7 4 7 6. 5 (a) Use a = 0.05 to test for significant differences in perception among the three groups. State the null and alternative hypotheses. Ho: : At least two of the population means are equal. H: At least two of the population means are different. Ho: HMM = HMR = HA Ha: Not all the population means are equal. Ho: HMM + HMR + HA Ha: HMM = HMR = HA %D O Ho: HMM = HMR Ha: HMM + HMR * HA HA %D Ho: Not all the population means are equal. Ha: HMM = HMR = HA


Extracted text: Find the value of the test statistic. 19 Find the p-value. (Round your answer to three decimal places.) p-value = 0.001 State your conclusion. Reject Ho. There is not sufficient evidence to conclude that the mean perception score is not the same for the three groups of specialists. Do not reject Ho. There is sufficient evidence to conclude that the mean perception score is not the same for the three groups of specialists. Reject Ho. There is sufficient evidence to conclude that the mean perception score is not the same for the three groups of specialists. Do not reject Ho. There is not sufficient evidence to conclude that the mean perception score is not the same for the three groups of specialists. (b) At the a = 0.05 level of significance, we can conclude that there are differences in the perceptions for marketing managers, marketing research specialists, and advertising specialists. Use the procedures in Section 13.3 to determine where the differences occur. Use a = 0.05. (Use the Bonferroni adjustment.) Find the value of LSD. (Round your comparisonwise error rate to four decimal places. Round your answer to three decimal places.) LSD = 3.167 Find the pairwise absolute difference between sample means for each pair of treatments. XMM - XMR 2.5 |XMM ХА 1 XMR = 1.5