Non- Season Pass Holders Season Pass Holders Total

Question

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

Answer 1

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.