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 530 450 600 400 530 610 470 400 560 510 440 470 470 460 570 640 380 620 550 580 Use the Kruskal-Wallis test to determine whether there is a significant difference among the three test preparation programs. Use a = 0.05.

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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
530
450 600
400
530
610
470
400
560
510
440
470
470
460
570
640
380 620
550 580
Use the Kruskal-Wallis test to determine whether there is a significant difference among the three test preparation programs. Use a = 0.05.
State the null and alternative hypotheses.
O H: All populations of test scores are identical.
H: Not all populations of test scores are identical.
O Ho: Median, = Mediang = Medianc
H: Median, > Median, < Median.
O Ho: Not all populations of test scores are identical.
H: All populations of test scores are identical.
O Ho: Median, + Mediang + Median.
H: Median, = Mediang = Median,
O Ho: Median, = Mediang = Medianc
H: Median, + Median, + Median,
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.
O Do not reject Hn. There is sufficient evidence to conclude that there is a significant difference among the three test preparation programs.
O Reject H. There is not sufficient evidence to conclude that there is a significant difference among the three test preparation programs.
O Do not reject Hn. There is not sufficient evidence to conclude that there is a significant difference among the three test preparation programs.
O Reject Ha, There is sufficient evidence to conclude that there is a significant difference among the three test preparation programs.
Transcribed Image Text: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 530 450 600 400 530 610 470 400 560 510 440 470 470 460 570 640 380 620 550 580 Use the Kruskal-Wallis test to determine whether there is a significant difference among the three test preparation programs. Use a = 0.05. State the null and alternative hypotheses. O H: All populations of test scores are identical. H: Not all populations of test scores are identical. O Ho: Median, = Mediang = Medianc H: Median, > Median, < Median. O Ho: Not all populations of test scores are identical. H: All populations of test scores are identical. O Ho: Median, + Mediang + Median. H: Median, = Mediang = Median, O Ho: Median, = Mediang = Medianc H: Median, + Median, + Median, 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. O Do not reject Hn. There is sufficient evidence to conclude that there is a significant difference among the three test preparation programs. O Reject H. There is not sufficient evidence to conclude that there is a significant difference among the three test preparation programs. O Do not reject Hn. There is not sufficient evidence to conclude that there is a significant difference among the three test preparation programs. O Reject Ha, There is sufficient evidence to conclude that there is a significant difference among the three test preparation programs.
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