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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 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.

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.

1 answer

To analyze the data, let's take a look at the number of season pass holders and non-season pass holders in relation to the age groups of their children:

  • For parents with children under 10:

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

  • For parents with children from 10–18:

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

We can make the following observations:

  1. Percentage of Season Pass Holders:

    • Parents with kids under 10:
      • Season Pass Holders = 125 out of 177, which is approximately 70.6%.
    • Parents with kids from 10–18:
      • Season Pass Holders = 58 out of 108, which is approximately 53.7%.

  2. Majority Calculation:

    • Among non-season pass holders, there are more parents with younger children (52 with kids under 10) compared to those with older children (50 with kids from 10–18).

From this analysis:

  • The first statement suggests a trend where older children correlate to lower season pass holder rates, which contradicts the findings.
  • The second statement regarding the majority of non-season pass holders having children under 10 is correct based on the numbers.
  • The third statement stating there is no association is incorrect as there is a noticeable difference.
  • The fourth statement suggests an association exists, which it does in a way, but the observed trend indicates that younger children are more associated with season pass holders instead.

Therefore, the most accurate statement regarding the data is:

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