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Use the table to answer the 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 season pass holder.

1 answer

To determine the correct association for the data presented in the table, let's analyze the information regarding parents with children in two different age groups and their status as season pass holders.

  1. Children under 10:

    • Non-Season Pass Holders: 52
    • Season Pass Holders: 125
    • Total: 177

  2. Children from 10-18:

    • Non-Season Pass Holders: 50
    • Season Pass Holders: 58
    • Total: 108

Now, we can summarize the results:

  • For parents with kids under 10, a significant majority are season pass holders (125 out of 177).
  • For parents with kids from 10-18, a smaller proportion are season pass holders (58 out of 108).

To see if there is an association between the age of children and the likelihood of being a season pass holder, we note:

  • The percentage of parents with kids under 10 who are season pass holders is higher than the percentage of parents with kids from 10-18 who have season passes.

Thus, we can conclude:

  • There appears to be an association between the age of children and whether or not a parent is a season pass holder.

Among the provided options, the statement that describes a correct association for the data is: There is an association between the ages of children and whether a parent is a season pass holder.