| Hypothesis | Test | Test Statistic | p-value | Effect Size | Decision |
|---|---|---|---|---|---|
| H₁: Ag. Education → Technology Adoption | Pearson r | r = 0.61 | < .001 | r² = 0.37 (large) | Reject H₀ |
| H₂: Technology Adoption → Food Security | Pearson r | r = 0.54 | < .001 | r² = 0.29 (medium) | Reject H₀ |
| H₃: Education → Economic Productivity | t-test | t(298) = 5.48 | < .001 | Cohen's d = 0.57 | Reject H₀ |
| H₄: Education & Extension → Rural Development | Multiple Regression | F(3,296) = 41.87 | < .001 | R² = 0.46 (large) | Reject H₀ |
The model explains 46% of variance in rural development outcomes
✅ ALL FOUR NULL HYPOTHESES WERE REJECTED
Statistically significant associations confirmed across all hypothesized relationships