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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

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.

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 no association between the age 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.
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1 answer

To analyze the data from the table, let's summarize the numbers first:

  • Parents with Kids Under 10:
    • Non-Season Pass Holders: 52
    • Season Pass Holders: 125
  • Parents with Kids from 10–18:
    • Non-Season Pass Holders: 50
    • Season Pass Holders: 58

Now, let's consider the statements:

  1. There is an association between the ages of children and whether a parent is a season pass holder.

    • This could be true since the distribution of season pass holders varies significantly based on the age group of the children.

  2. The older the children, the more likely it is that a parent has a season pass.

    • For parents with children under 10, 125 are season pass holders, while for parents with children from 10-18, only 58 are season pass holders. This suggests that parents with younger children are more likely to have season passes, which means this statement is incorrect.

  3. The majority of non-season pass holders have children under 10.

    • Adding the non-season pass holders: 52 (under 10) + 50 (10-18) = 102 total non-season pass holders.
    • The majority of 102 is more than half (i.e., more than 51). Since there are 52 non-season pass holders with children under 10, that is indeed more than half of the total non-season pass holders.

  4. There is no association between the age of children and whether a parent is a season pass holder.

    • Given the different distributions shown in the table, this statement is also incorrect.

The correct answer based on the analysis is:

The majority of non-season pass holders have children under 10.