standard_description: Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table. Construct and interpret a two-way table summarizing data on two categorical variables collected from the same subjects. Use relative frequencies calculated for rows or columns to describe possible association between the two variables. For example, collect data from students in your class on whether or not they have a curfew on school nights and whether or not they have assigned chores at home. Is there evidence that those who have a curfew also tend to have chores?
problem_activity: Task
The 54 students in one of several middle school classrooms were asked two questions about musical preferences: “Do you like rock?” “Do you like rap?” The responses are summarized in the table below.
{"table": [{"tbody": [{"tr": [{"td": [{}], "th": [{"_value": "Likes Rap"}, {"_value": "Doesn't Like Rap"}, {"_value": "Row Totals"}]}, {"th": [{"_value": "Likes Rock"}], "td": [{"_value": "27"}, {"_value": "6"}, {"_value": "33"}]}, {"th": [{"_value": "Doesn't Like Rock"}], "td": [{"_value": "4"}, {"_value": "17"}, {"_value": "21"}]}, {"th": [{"_value": "Column Totals"}], "td": [{"_value": "31"}, {"_value": "23"}, {"_value": "54"}]}]}]}]}
Is this a random sample, one that fairly represents the opinions of all students in the middle school?
What percentage of the students in the classroom like rock?
Is there evidence in this sample of a positive association in this class between liking rock and liking rap? Justify your answer by pointing out a feature of the table that supports it.
Explain why the results for this classroom might not generalize to the entire middle school.


aligns: no