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?

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!