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
Each student in a random sample of students at a local high school was categorized according to gender (male or female) and whether they supported a proposal to increase the length of the school day by 30 minutes (oppose, support, no opinion). The following table summarizes the data for this sample.
{"table": [{"tbody": [{"tr": [{"td": [{"_attributes": {"colspan": "2", "rowspan": "2"}, "p": [{}]}, {"_attributes": {"colspan": "4"}, "p": [{"_value": "Opinion on Proposal to Increase Length of School Day"}]}]}, {"td": [{"p": [{"_value": "Oppose"}]}, {"p": [{"_value": "Support"}]}, {"p": [{"_value": "No Opinion"}]}, {"p": [{"_value": "Total"}]}]}, {"td": [{"_attributes": {"rowspan": "3"}, "p": [{"_value": "Gender"}]}, {"p": [{"_value": "Male"}]}, {"p": [{"_value": "50"}]}, {"p": [{"_value": "40"}]}, {"p": [{"_value": "20"}]}, {"p": [{"_value": "110"}]}]}, {"td": [{"p": [{"_value": "Female"}]}, {"p": [{"_value": "40"}]}, {"p": [{"_value": "40"}]}, {"p": [{"_value": "10"}]}, {"p": [{"_value": "90"}]}]}, {"td": [{"p": [{"_value": "Total"}]}, {"p": [{"_value": "90"}]}, {"p": [{"_value": "80"}]}, {"p": [{"_value": "30"}]}, {"p": [{"_value": "200"}]}]}]}]}]}
What proportion of the students in this sample are male?
What proportion of the students in this sample support the proposal?
What proportion of the males in this sample support the proposal?
What proportion of the students in this sample who support this proposal are male?
Interpret the following joint relative frequency in the context of this problem: 10/200.
Interpret the following marginal relative frequency in the context of this problem: 30/200.
Interpret the following conditional frequency in the context of this problem: 50/110.
Interpret the following conditional frequency in the context of this problem: 20/110.
Interpret the following conditional frequency in the context of this problem: 20/30.


aligns: no