In: Statistics and Probability
A researcher is interested in understanding if there is a statistically significant difference between people in different marital status in terms of their level of general happiness. Marital status was measured as follows: 1. Married, 2. Widowed, 3. Divorced, 4. Separated, and 5. Never married. General happiness was measured as follows: 1. Very happy, 2. Pretty happy, and 3. Not too happy.
To test his hypothesis, the researcher ran the Analysis of Variance (ANOVA), and he obtained the following output table.
ANOVA |
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GENERAL HAPPINESS |
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Sum of Squares |
df |
Mean Square |
F |
Sig. |
|
Between Groups |
42.384 |
4 |
10.596 |
27.424 |
.000 |
Within Groups |
557.932 |
1444 |
.386 |
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Total |
600.316 |
1448 |
- Null Hypothesis:
- Alternative Hypothesis:
2. Determine if the null hypothesis is rejected at 0.05 significance level, and state what it means.