Suppose course evaluation ratings for four college instructors are shown in the following table. Instructor Black Jennings
Question:
Suppose course evaluation ratings for four college instructors are shown in the following table.
Instructor | |||
---|---|---|---|
Black | Jennings | Swanson | Wilson |
88 | 87 | 88 | 80 |
80 | 78 | 76 | 82 |
79 | 83 | 68 | 56 |
68 | 82 | 83 | 71 |
96 | 99 | 82 | 89 |
69 | 99 | 83 | 87 |
82 | 84 | ||
94 | 85 | ||
81 |
Use = 0.05 and test for a significant difference among the rating for these instructors.State the null and alternative hypotheses.H0: MedianB = MedianJ = MedianS = MedianW Ha: MedianB < MedianJ > MedianS > MedianWH0: MedianB = MedianJ = MedianS = MedianW Ha: MedianB MedianJ MedianS MedianW H0: Not all populations of teaching evaluations are identical. Ha: All populations of teaching evaluations are identical.H0: All populations of teaching evaluations are identical. Ha: Not all populations of teaching evaluations are identical.H0: MedianB MedianJ MedianS MedianW Ha: MedianB = MedianJ = MedianS = MedianWFind the value of the test statistic. (Round your answer to two decimal places.)Find the p-value. (Round your answer to three decimal places.)p-value = What is your conclusion?Do not reject H0. There is not sufficient evidence to conclude that there is a significant difference among the rating for these instructors.Reject H0. There is sufficient evidence to conclude that there is a significant difference among the rating for these instructors. Reject H0. There is not sufficient evidence to conclude that there is a significant difference among the rating for these instructors.Do not reject H0. There is sufficient evidence to conclude that there is a significant difference among the rating for these instructors.