You may need to use the appropriate technology to answer this question. Three admission test preparation programs are being evaluated. Suppose the scores obtained by a sample of 20 people who used the programs provided the following data.
Program
A B C
530 450 600
400 530 640
470 400 590
540 420 470
470 490 570
620 360 610
550 560
Use the Kruskal-Wallis test to determine whether there is a significant difference among the three test preparation programs. Use α = 0.05.
State the null and alternative hypotheses.
H0: MedianA ≠ MedianB ≠ MedianC
Ha: MedianA = MedianB = MedianC
H0: MedianA = MedianB = MedianC
Ha: MedianA > MedianB < MedianC
H0: All populations of test scores are identical.
Ha: Not all populations of test scores are identical.
H0: Not all populations of test scores are identical.
Ha: All populations of test scores are identical.
H0: MedianA = MedianB = MedianC
Ha: MedianA ≠ MedianB ≠ MedianC
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.)
p-value =
State your conclusion.
Reject H0. There is sufficient evidence to conclude that there is a significant difference among the three test preparation programs.
Do not reject H0. There is not sufficient evidence to conclude that there is a significant difference among the three test preparation programs.
Do not reject H0. There is sufficient evidence to conclude that there is a significant difference among the three test preparation programs.
Reject H0. There is not sufficient evidence to conclude that there is a significant difference among the three test preparation programs.