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
540	450	600
400	540	630
480	400	570
530	410	480
480	470	580
610	360	620
	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: Not all populations of test scores are identical.
H_a: All populations of test scores are identical.H₀: Median_A = Median_B = Median_C
H_a: Median_A ≠ Median_B ≠ Median_C    H₀: Median_A = Median_B = Median_C
H_a: Median_A > Median_B < Median_CH₀: Median_A ≠ Median_B ≠ Median_C
H_a: Median_A = Median_B = Median_CH₀: All populations of test scores are identical.
H_a: 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.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 sufficient evidence to conclude that there is a significant difference among the three test preparation programs.

Answer 1