standard_description: Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions. For example, estimate the mean word length in a book by randomly sampling words from the book; predict the winner of a school election based on randomly sampled survey data. Gauge how far off the estimate or prediction might be.
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.
|        |        | Opinion on Proposal to Increase Length of School Day |         |            |       |
|--------|--------|------------------------------------------------------|---------|------------|-------|
|        |        |                        Oppose                        | Support | No Opinion | Total |
| Gender |  Male  |                          50                          |   40    |     20     |  110  |
|        | Female |                          40                          |   40    |     10     |  90   |
|        | Total  |                          90                          |   80    |     30     |  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