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A survey of workers' well-being grouped respondents according to occupation. For each occupation, the table shows the percentages of respondents who indicated feeling satisfaction in their occupation, being in a positive mood with respect to their occupation at the time of the survey, and having a sense of purpose in their occupation.
| Occupation | Satisfaction | Positive mood | Purpose |
|---|---|---|---|
| 2 | 76% | 39% | 74% |
| 4 | 63% | 39% | 74% |
| 5 | 55% | 60% | 46% |
| 3 | 53% | 55% | 55% |
| 6 | 31% | 80% | 44% |
| 1 | 30% | 76% | 39% |
For each of the following statements, select Yes if the information provided indicates that the statement is correct. Otherwise, select No.
There is a positive correlation between the percentages for satisfaction and those for purpose.
There is a negative correlation between the percentages for positive mood and purpose.
A majority of all respondents who indicated feeling satisfaction also indicated having a sense of purpose.
The table shows well-being metrics for 6 respondents:
| Satisfaction | Purpose | Positive Mood |
|---|---|---|
| 0.91 | 0.74 | 0.25 |
| 0.83 | 0.74 | 0.29 |
| 0.76 | 0.46 | 0.53 |
| 0.65 | 0.55 | 0.41 |
| 0.58 | 0.44 | 0.77 |
| 0.42 | 0.39 | 0.82 |
Examining the data sorted by satisfaction (descending):
Satisfaction: 0.91 → 0.83 → 0.76 → 0.65 → 0.58 → 0.42
Purpose: 0.74 → 0.74 → 0.46 → 0.55 → 0.44 → 0.39
The overall trend shows purpose generally decreasing as satisfaction decreases. The highest satisfaction values correspond to the highest purpose values, and the lowest satisfaction corresponds to the lowest purpose.
Statement 1: YES
Sorting by positive mood (descending):
Positive Mood: 0.82 → 0.77 → 0.53 → 0.41 → 0.29 → 0.25
Purpose: 0.39 → 0.44 → 0.46 → 0.55 → 0.74 → 0.74
Clear inverse relationship: as positive mood decreases, purpose increases. Highest mood values correspond to lowest purpose values.
Statement 2: YES
This statement requires defining thresholds for what constitutes being 'satisfied' and having 'purpose'. The data only provides numerical values without these definitional thresholds. Without knowing what score qualifies as 'satisfied' or what constitutes 'having purpose', we cannot determine this relationship.
Statement 3: NO
Statement 1: YES - Positive correlation between satisfaction and purpose
Statement 2: YES - Negative correlation between positive mood and purpose
Statement 3: NO - Cannot be determined due to lack of threshold definitions
Answer: YES, YES, NO
There is a positive correlation between the percentages for satisfaction and those for purpose.
There is a negative correlation between the percentages for positive mood and purpose.
A majority of all respondents who indicated feeling satisfaction also indicated having a sense of purpose.