Statistical Hypothesis Test Answers

Research Question 3 : Is there any significant difference between Buddhist and non-Buddhist in their use of nonviolent strategies to solve problems?
Hypotheses
Null Hypothesis (H₀) : There is no significant difference between Buddhist and non- Buddhist in their use of nonviolent strategies to solve problems
Research Hypothesis (H₁) : There is a significant difference between Buddhist and non- Buddhist in their use of nonviolent strategies to solve problems

Technique used The technique used when conducting the research question is t-Test of independence.
Reasons for using the technique The reason why t-Test of independence is used because there are only two group of independent variable, which is Buddhist and non-Buddhist. Besides that, the independent variable is categorical, while the dependent variable is using interval scale. Another reason for using t-Test of independence is because there are independent groups and the test compares two different groups with each other. Hence, one group cannot be a member of the other group. For this research question, the independent groups are Buddhist and non-Buddhist.

Critical Value
Degree of Freedom
= (N1 - 1) + (N2 - 1)
= (42 – 1) + (18 – 1)
= 41 + 17
= 58
Critical value (use significance level .05) = 2. 00
Calculation
| Buddhist, x | x² | Non-Buddhist, y | y² | | 4.0 | 16.00 | 3.6 | 12.96 | | 4.0 | 16.00 | 3.6 | 12.96 | | 4.0 | 16.00 | 3.6 | 12.96 | | 4.0 | 16.00 | 3.6 | 12.96 | | 4.0 | 16.00 | 3.2 | 10.24 | | 3.0 | 9.00 | 3.2 | 10.24 | | 3.0 | 9.00 | 2.8 | 7.84 | | 3.0 | 9.00 | 2.8 | 7.84 | | 3.0 | 9.00 | 2.8 | 7.84 | | 3.0 | 9.00 | 2.8 | 7.84 | | 3.0 | 9.00 | 3.8 | 14.44 | | 3.6 | 12.96 | 3.8 | 14.44 | | 3.6 | 12.96 | 3.4 | 11.56 | | 3.6 | 12.96 | 3.4 | 11.56 | | 3.6 | 12.96 | 3.0 | 9.00 | | 3.6 | 12.96 | 3.0 | 9.00 | | 3.6 | 12.96 | 2.0 | 4.00 | | 3.6 | 12.96 | 2.0 | 4.00 | | 3.6 | 12.96 | | | | 2.0 |