Question

The table summarizes data about the median debt for graduating students from a sample of universities in

California and New York.
No debt
Total
High debt
445
130
California Students
New York Students
Total
72
271
716
575
343
918
202
Is there an association between the state and the debt level for graduates? Explain your reasoning in the box
below.

Answer 1

To determine if there is an association between the state and the debt level for graduates, compare the proportions of high debt students in each state. The proportions of high debt students in California and New York are different, suggesting an association between state and debt level for graduates.

Step-by-step explanation:

The table provided summarizes data about the median debt for graduating students from a sample of universities in California and New York. To determine if there is an association between the state and the debt level for graduates, we can compare the proportions of high debt students in each state.

1. Calculate the proportion of high debt students in California by dividing the number of California students with high debt by the total number of California students.
2. Calculate the proportion of high debt students in New York by dividing the number of New York students with high debt by the total number of New York students.
3. Compare these proportions. If the proportion of high debt students differs significantly between the two states, then there may be an association between state and debt level for graduates.

Based on the given table, the proportion of high debt students in California is 130/716 = 0.181, and the proportion of high debt students in New York is 202/918 = 0.220. The proportions are different, suggesting that there may be an association between the state and the debt level for graduates.

Answer 2

No

Step-by-step explanation:

There is no association between the state and the debt level for graduates because when all put into precentages they are all about the same.