Question: Group Statistics Country by region N Mean Std. Deviation Std. Error Mean Q46a. Level of democracy: today Southern Africa 3934 5.79 2.798 .045 North Africa
| Group Statistics | |||||
| Country by region | N | Mean | Std. Deviation | Std. Error Mean | |
| Q46a. Level of democracy: today | Southern Africa | 3934 | 5.79 | 2.798 | .045 |
| North Africa | 1321 | 4.93 | 3.084 | .085 |
| Independent Samples Test | |||||||||||
| Levene's Test for Equality of Variances | t-test for Equality of Means | ||||||||||
| F | Sig. | t | df | Significance | Mean Difference | Std. Error Difference | 95% Confidence Interval of the Difference | ||||
| One-Sided p | Two-Sided p | Lower | Upper | ||||||||
| Q46a. Level of democracy: today | Equal variances assumed | 29.838 | <.001 | 9.439 | 5253 | <.001 | <.001 | .862 | .091 | .683 | 1.041 |
| Equal variances not assumed | 8.994 | 2096.848 | <.001 | <.001 | .862 | .096 | .674 | 1.050 |
| Independent Samples Effect Sizes | |||||
| Standardizera | Point Estimate | 95% Confidence Interval | |||
| Lower | Upper | ||||
| Q46a. Level of democracy: today | Cohen's d | 2.872 | .300 | .238 | .363 |
| Hedges' correction | 2.873 | .300 | .238 | .363 | |
| Glass's delta | 3.084 | .280 | .216 | .343 | |
| a. The denominator used in estimating the effect sizes. Cohen's d uses the pooled standard deviation. Hedges' correction uses the pooled standard deviation, plus a correction factor. Glass's delta uses the sample standard deviation of the control (i.e., the second) group. |
As an international development researcher, you have already tested whether perceptions about the current levels of democracy differ from a value of 6. Given recent social change movements in North Africa, you now want to determine whether there is a statistical difference in these perceptions between North Africa and Southern Africa. The results of an independent T-test are given above.
a) Are the variances in the two groups equal? Why or why not?
b) Interpret the results of the T-test.
c) Comment on the effect sizes.
d) What is the social implication of these results?
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