In: Statistics and Probability
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 |
520 | 450 | 600 |
400 | 520 | 610 |
490 | 400 | 560 |
510 | 440 | 490 |
490 | 460 | 590 |
640 | 370 | 630 |
550 | 570 |
Use the Kruskal-Wallis test to determine whether there is a significant difference among the three test preparation programs. Use α = 0.05.
H0: All populations of test scores are
identical.
Ha: Not all populations of test scores are
identical.
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 not sufficient evidence to conclude that there is a significant difference among the three test preparation programs.
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.