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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 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.
There is no association between the age 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.

1 answer

To analyze the data in the table, let's break it down based on the information provided.

  1. For Parents with Kids Under 10:

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

  2. For Parents with Kids from 10–18:

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

From the data, we can see:

  • The number of season pass holders with kids under 10 (125) is significantly higher than those with kids from 10–18 (58).
  • Conversely, the number of non-season pass holders is almost the same in both categories (52 under 10 vs. 50 from 10–18).

Now, let's evaluate the statements:

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

    • Total non-season pass holders: 102
    • Non-season pass holders with kids under 10: 52
    • Non-season pass holders with kids from 10–18: 50
    • This statement is not true because the numbers are very close.

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

    • There is a clear difference between the two age groups in terms of season pass holders: a high number of season pass holders have kids under 10 compared to kids from 10–18. This suggests an association.

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

    • This statement is incorrect based on the differences observed in the data.

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

    • This statement is incorrect. The data shows that parents with younger children (under 10) are more likely to be season pass holders.

Based on the analysis, the correct statement is:

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