Question

In: Statistics and Probability

A researcher is interested in understanding if there is a statistically significant difference between people in...

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

GENERAL HAPPINESS  

Sum of Squares

df

Mean Square

F

Sig.

Between Groups

42.384

4

10.596

27.424

.000

Within Groups

557.932

1444

.386

Total

600.316

1448

  1. State the null and alternative hypotheses (=research hypothesis) in plain English sentences.   

- Null Hypothesis:

- Alternative Hypothesis:

2. Determine if the null hypothesis is rejected at 0.05 significance level, and state what it means.

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