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.

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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
520
450
600
400
520 610
490
400
560
510
430
490
490
460
590
630 370 640
550 570
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,: Not all populations of test scores are identical.
H: All populations of test scores are identical.
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, * Mediang * Median.
O Hg: Median, + Mediang + Median,
H: Median, = Mediang = Median.
O Ho: Median, = Median, = Medianc
H: Median, > Median, < 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.
O Reject H.. There is not sufficient evidence to conclude that there is a significant difference among the three test preparation programs.
O Reject Hg. There is sufficient evidence to conclude that there is a significant difference among the three test preparation programs.
O Do not reject H,- There is sufficient evidence to conclude that there is a significant difference among the three test preparation programs.
O Do not reject H,. There is not sufficient evidence to conclude that there is a significant difference among the three test preparation programs.
Transcribed Image Text: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 520 450 600 400 520 610 490 400 560 510 430 490 490 460 590 630 370 640 550 570 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,: Not all populations of test scores are identical. H: All populations of test scores are identical. 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, * Mediang * Median. O Hg: Median, + Mediang + Median, H: Median, = Mediang = Median. O Ho: Median, = Median, = Medianc H: Median, > Median, < 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. O Reject H.. There is not sufficient evidence to conclude that there is a significant difference among the three test preparation programs. O Reject Hg. There is sufficient evidence to conclude that there is a significant difference among the three test preparation programs. O Do not reject H,- There is sufficient evidence to conclude that there is a significant difference among the three test preparation programs. O Do not reject H,. There is not sufficient evidence to conclude that there is a significant difference among the three test preparation programs.
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