Consider the likelihood of couples separating based on whether the husband’s parents had been divorced. The following table shows the results for this situation.
Separation Status based on Husband’s Parents’ Status
| Husband’s Parents Divorced? | Couple Separated | Couple Intact | Total |
|---|---|---|---|
| Yes | 43 | 245 | 288 |
| No | 75 | 1,139 | 1,214 |
| Total | 118 | 1,384 | 1,502 |
(a) What are the odds of a couple separating to not separating when the husband’s parents had been divorced? (Enter the odds as a ratio using two numbers.)
(b) What are the odds of a couple separating to not separating when the husband’s parents had not been divorced? (Enter the odds as a ratio using two numbers.)
(c) What is the odds ratio for the two conditions? (Put the group with lower risk in the denominator. Round your answer to two decimal places.)
Write your answer in a sentence that would be understood by some with no training in statistics. The odds of separating were times higher for couples in which the parents had
The correct answer and explanation is:
(a) The odds of a couple separating to not separating when the husband’s parents had been divorced are 43:245.
(b) The odds of a couple separating to not separating when the husband’s parents had not been divorced are 75:1139.
(c) The odds ratio for the two conditions is 2.67.
Explanation:
The odds ratio of 2.67 means that couples in which the husband’s parents had been divorced were 2.67 times more likely to separate compared to couples in which the husband’s parents had not been divorced. This suggests that having divorced parents may increase the likelihood of separation, potentially due to learned behaviors, differences in relationship expectations, or other psychological and social factors.
Now, I will generate an image representing this data visually.
Here is a visual representation of the odds of separation based on whether the husband’s parents were divorced. The red bar represents the odds when the husband’s parents were divorced, while the blue bar represents the odds when they were not. The chart clearly shows that the odds of separation are significantly higher for couples where the husband’s parents had been divorced. Let me know if you need any modifications or further explanation!
