Ask a New Question
Menu

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

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.

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.

1 answer

To analyze the data, we can look at the distribution of season pass holders (SPH) and non-season pass holders (NSPH) across the age groups of children.

From the table:

  1. Parents with Kids Under 10:

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

  2. Parents with Kids from 10–18:

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

Total Overview:

  • Non-Season Pass Holders (Total): 102 (52 + 50)
  • Season Pass Holders (Total): 183 (125 + 58)
  • Overall Total: 285 (102 + 183)

Now let's break down the associations:

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

    • The number of non-season pass holders with kids under 10 (52) and with kids from 10-18 (50) is relatively close. Thus, this statement is not strongly supported because neither age group dominates the non-season pass holders.

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

    • There are significantly more season pass holders (125) for children under 10 compared to those with children ages 10-18 (58). This suggests that it is not necessarily true that parents with older children are more likely to be season pass holders.

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

    • Given the data shows a different distribution of season pass holders between the two age groups, this statement appears to be true.

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

    • This statement is contradicted by the observed differences in the proportions of season pass holders for the two age groups.

Based on this analysis, the correct statement is:

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