In: Statistics and Probability
Calculate percentages for the following table. A prior Gamma analysis has indicated that the relationship is significant (p-value <0.05). Use these percentages to assess the strength (using the maximum difference method) and direction of this relationship.
FAMILY INCOME AND HAPPINESS (2004 GSS DATA) |
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Happiness |
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Family Income |
Not too happy |
Pretty happy |
Very Happy |
Total |
Below Average |
16 |
36 |
15 |
67 |
Average |
11 |
36 |
21 |
68 |
Above Average |
2 |
12 |
8 |
22 |
Total |
29 |
84 |
44 |
157 |
Write a bullet points describing the relationship between these two variables
The percentages are:
Not too happy | Pretty happy | Very Happy | Total | ||
Below Average | Observed | 16 | 36 | 15 | 67 |
% of total | 10.2% | 22.9% | 9.6% | 42.7% | |
Average | Observed | 11 | 36 | 21 | 68 |
% of total | 7.0% | 22.9% | 13.4% | 43.3% | |
Above Average | Observed | 2 | 12 | 8 | 22 |
% of total | 1.3% | 7.6% | 5.1% | 14.0% | |
Total | Observed | 29 | 84 | 44 | 157 |
% of total | 18.5% | 53.5% | 28.0% | 100.0% |
There is a strong relationship between those who have an average family income and are pretty happy.
There is a weak relationship between those who have above average family income and are not happy.
Since the family income is dependent on the happiness level, it is observable there is an association between family income and happiness.
Thus, we can say that there is a relationship between family income and happiness.