1. Are there statistically significant differences in family income between women and men in the GSS? Use the variables INCOME06 and SEX to answer this question. You can assume that income is measured at the interval-ratio level. Use a 95% confidence level. (10 points)
RESPONDENTS SEX |
N |
Mean |
Std. Deviation |
Std. Error Mean |
|
TOTAL FAMILY INCOME |
MALE |
593 |
17.31 |
5.625 |
.231 |
FEMALE |
697 |
15.94 |
6.013 |
.228 |
Independent Samples Test |
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Levene's Test for Equality of Variances |
t-test for Equality of Means |
||||
F |
Sig. |
t |
|||
TOTAL FAMILY INCOME |
Equal variances assumed |
6.617 |
.010 |
4.188 |
|
Equal variances not assumed |
4.210 |
Independent Samples Test |
|||||
t-test for Equality of Means |
|||||
df |
Sig. (2-tailed) |
Mean Difference |
|||
TOTAL FAMILY INCOME |
Equal variances assumed |
1288 |
.000 |
1.366 |
|
Equal variances not assumed |
1276.464 |
.000 |
1.366 |
Independent Samples Test |
||||
t-test for Equality of Means |
||||
Std. Error Difference |
95% Confidence Interval of the Difference |
|||
Lower |
Upper |
|||
TOTAL FAMILY INCOME |
Equal variances assumed |
.326 |
.726 |
2.006 |
Equal variances not assumed |
.324 |
.729 |
2.002 |
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