In: Statistics and Probability
Marital Happiness |
||||
Income |
Not Happy |
Pretty Happy |
Very Happy |
Totals |
Above Average |
123 |
105 |
7 |
235 |
Average |
291 |
151 |
17 |
459 |
Below Average |
172 |
83 |
6 |
261 |
Totals |
586 |
339 |
30 |
955 |
Conduct an appropriate test to determine whether or not there is a statistically significant association between marital happiness and income at the 5% significance level.
(A) Marital happiness is depend on the income, therefore marital happiness is the dependent variable and income is independent variable for this problem.
(B) The percentage of individual reports their marital happiness as pretty happy with average income = 151/459 = 0.3290 = 32.90%
(C) Yes, the basic assumptions of the hypothesis test are fulfilled i. e.
Two or more categories for each variable
Observations should be independent
Sample size should be large
Expected frequency for each cell should be at least one
(D) The hypothesis of the test are
H0: There is no association between income and marital happiness
Ha: There is statistically significant association between income and marital happiness.
After performing the chi square test, we found the test statistic is 12.8369 and the P-value of the test is 0.012, which is less than the level of significance alpha 0.05, therefore we reject the null hypothesis and concluded that there is statistically significant association between income and marital happiness.
Note: I am bounded to answer the question according to guidelines, therefore I can solve only four parts of the question.
Thank you.