What was the decision regarding the null hypothesis, H₀: ₁ = ₂ = ₃?

Group of answer choices

² (N = 27, df = 2) = 6.784, p = .034, p < .05, there was a significant difference in the dependent variable across the conditions of the independent variable.

² (N = 27, df = 2) = 6.784, p = .034, p > .05, there was no significant difference in the dependent variable across the conditions of the independent variable.

² (N = 27, df = 2) = 7.848, p = .012, p < .05, there was a significant difference in the dependent variable across the conditions of the independent variable.

² (N = 27, df = 2) = 7.848, p = .012, p > .05, there was no significant difference in the dependent variable across the conditions of the independent variable.

SEE below

A director of a counseling agency working with adolescents wants to determine if one counseling method is better than another in reducing delinquent behavior. She randomly assigns 9 adolescents to receive a non-directive therapy, 9 to receive reality therapy, and 9 adolescents to receive family focused therapy. Delinquent behavior is measured using the Delinquent Behavior Inventory (DBI) and low scores represent lower delinquent behavior. Enter, analyze, and interpret the following data, using an alpha of .05. You will be using a Kruskal-Wallis and Mann-Whitney-U statistics for these analyses.

ID	Delinquent Behavior	Counseling Method 1=non-directive therapy, 2=reality therapy, 3=family focused therapy
1	15	1
2	18	1
3	19	1
4	14	1
5	5	1
6	8	1
7	12	1
8	13	1
9	7	1
10	16	2
11	14	2
12	20	2
13	22	2
14	19	2
15	5	2
16	17	2
17	18	2
18	12	2
19	10	3
20	13	3
21	14	3
22	11	3
23	7	3
24	3	3
25	4	3
26	18	3
27	2	3