Page 107 - IM_Algebra1_FL Print Sample.pdf

two-way table. The relative frequencies allowed me to compare data in the rows to know whether or not they were associated.)
Lesson Synthesis
The goal of this discussion is to make sure students know how to decide if there is an association between two categorical variables.
• “How do you know whether or not two variables are associated?” (First, you create a row or column relative frequency table. Second, you look for similarities in the columns or rows. If the relative frequencies in the rows or columns are similar, then there is probably no association. If they are very di erent there is a possible association.)
• “What does it mean when we say two variables are associated? Provide an example.” (It means that the variables are statistically related. For example, if we compared handedness (left or right) to messiness (neat or messy) we might nd that left and right handed people are equally messy and there would be no association. If we found out that the percentage who are messy was much greater for right handed people than for left handed people, then we would have evidence of an association between handedness and messiness.)
3.4 Graduate Debt
Cool Down: 5 minutes
Student Task Statement
The table summarizes data about the median debt for graduating students from a sample of universities in California and New York.
median debt less than $9,000
median debt at least $9,000
total
California universities
130
445
575
New York universities
72
271
343
total
202
716
918
Is there an association between the state and the amount of median debt for graduates? Explain your reasoning.
Student Response
Sample response: There is not enough evidence to support a claim of association between state and median debt. Seventy seven percent of California universities have graduates with at least
40
Teacher Guide
Algebra