Question
Non- Season Pass Holders Season Pass Holders Total
Parents with Kids Under 10 52 125 177
Parents with Kids from 10–18 50 58 108
Total 102 183 285
At a local amusement park, parents were asked whether they were season pass holders and the ages of their children. The results of the survey are in the table. Which statement describes a correct association for the data?
(1 point)
Responses
The older the children, the more likely it is that a parent has a season pass.
The older the children, the more likely it is that a parent has a season pass.
The majority of non-season pass holders have children under 10.
The majority of non-season pass holders have children under 10.
There is an association between the ages of children and whether a parent is a season pass holder.
There is an association between the ages of children and whether a parent is a season pass holder.
There is no association between the age of children and whether a parent is a
Parents with Kids Under 10 52 125 177
Parents with Kids from 10–18 50 58 108
Total 102 183 285
At a local amusement park, parents were asked whether they were season pass holders and the ages of their children. The results of the survey are in the table. Which statement describes a correct association for the data?
(1 point)
Responses
The older the children, the more likely it is that a parent has a season pass.
The older the children, the more likely it is that a parent has a season pass.
The majority of non-season pass holders have children under 10.
The majority of non-season pass holders have children under 10.
There is an association between the ages of children and whether a parent is a season pass holder.
There is an association between the ages of children and whether a parent is a season pass holder.
There is no association between the age of children and whether a parent is a
Answers
GPT-4o mini
To analyze the data:
1. **For Parents with Kids Under 10**:
- Non-Season Pass Holders: 52
- Season Pass Holders: 125
- Total: 177
Percentage of Non-Season Pass Holders with Kids Under 10: \( \frac{52}{177} \approx 29.4\% \)
2. **For Parents with Kids from 10–18**:
- Non-Season Pass Holders: 50
- Season Pass Holders: 58
- Total: 108
Percentage of Non-Season Pass Holders with Kids from 10–18: \( \frac{50}{108} \approx 46.3\% \)
From this analysis, we see that a greater percentage of parents with children aged 10-18 are non-season pass holders compared to those with children under 10.
Now let's evaluate the provided statements:
1. **The older the children, the more likely it is that a parent has a season pass.**
- This is not true because there are more non-season pass holders among the parents of children 10-18.
2. **The majority of non-season pass holders have children under 10.**
- This is not true; the proportion of non-season pass holders in the under 10 category versus the 10-18 category does not show the majority.
3. **There is an association between the ages of children and whether a parent is a season pass holder.**
- This statement is supported by the data, as the distribution of season pass holders versus non-season pass holders varies with the age of children.
4. **There is no association between the age of children and whether a parent is a season pass holder.**
- This is incorrect as we can see a difference in the proportions.
Based on this evaluation, the most accurate statement regarding the data is:
**There is an association between the ages of children and whether a parent is a season pass holder.**
1. **For Parents with Kids Under 10**:
- Non-Season Pass Holders: 52
- Season Pass Holders: 125
- Total: 177
Percentage of Non-Season Pass Holders with Kids Under 10: \( \frac{52}{177} \approx 29.4\% \)
2. **For Parents with Kids from 10–18**:
- Non-Season Pass Holders: 50
- Season Pass Holders: 58
- Total: 108
Percentage of Non-Season Pass Holders with Kids from 10–18: \( \frac{50}{108} \approx 46.3\% \)
From this analysis, we see that a greater percentage of parents with children aged 10-18 are non-season pass holders compared to those with children under 10.
Now let's evaluate the provided statements:
1. **The older the children, the more likely it is that a parent has a season pass.**
- This is not true because there are more non-season pass holders among the parents of children 10-18.
2. **The majority of non-season pass holders have children under 10.**
- This is not true; the proportion of non-season pass holders in the under 10 category versus the 10-18 category does not show the majority.
3. **There is an association between the ages of children and whether a parent is a season pass holder.**
- This statement is supported by the data, as the distribution of season pass holders versus non-season pass holders varies with the age of children.
4. **There is no association between the age of children and whether a parent is a season pass holder.**
- This is incorrect as we can see a difference in the proportions.
Based on this evaluation, the most accurate statement regarding the data is:
**There is an association between the ages of children and whether a parent is a season pass holder.**