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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 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. 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.

1 answer

To determine which statement correctly describes the association in the data, we can analyze the table provided.

The table shows the following data:

  • Non-Season Pass Holders with Kids Under 10: 52

  • Season Pass Holders with Kids Under 10: 125

  • Total Parents with Kids Under 10: 177

  • Non-Season Pass Holders with Kids from 10–18: 50

  • Season Pass Holders with Kids from 10–18: 58

  • Total Parents with Kids from 10–18: 108

Now let's calculate the proportions:

  1. For Kids Under 10:

    • Total Non-Season Pass Holders: 102
    • Proportion of Non-Season Pass Holders with Kids Under 10: 52/102 ≈ 0.51 (or 51%)
    • Total Season Pass Holders: 183
    • Proportion of Season Pass Holders with Kids Under 10: 125/183 ≈ 0.68 (or 68%)

  2. For Kids from 10–18:

    • Total Non-Season Pass Holders: 102
    • Proportion of Non-Season Pass Holders with Kids from 10–18: 50/102 ≈ 0.49 (or 49%)
    • Total Season Pass Holders: 183
    • Proportion of Season Pass Holders with Kids from 10–18: 58/183 ≈ 0.32 (or 32%)

Analyzing Statements:

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

    • This is incorrect since the proportions clearly show that a higher percentage of Season Pass Holders have children under 10 compared to Non-Season Pass Holders, indicating some association.

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

    • This statement seems correct because the data show differing proportions depending on the age group of children.

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

    • This statement is true; 52 out of 102 non-season pass holders have kids under 10, indicating that the majority does have younger children.

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

    • This is incorrect as the proportion of season pass holders decreases for the age group 10-18 when compared to the group under 10.

Conclusion:

The most accurate statement based on the data is: There is an association between the ages of children and whether a parent is a season pass holder.