Question

In: Statistics and Probability

Calculate percentages for the following table. A prior Gamma analysis has indicated that the relationship is...

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)

Happiness

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

Solutions

Expert Solution

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.


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