Evaluate the reasonableness of a sample to determine the appropriateness of generalizations made about the population.
Subject Area: X-Mathematics (former standards - 2008)
Body of Knowledge: Statistics
Idea: Level 3: Strategic Thinking & Complex Reasoning
Supporting Idea: Data Analysis - Data Analysis
Date Adopted or Revised: 09/07
Date of Last Rating: 06/07
Status: State Board Approved - Archived
Remarks/ExamplesExample: You asked 10 of your classmates what is their favorite university in Florida. Five of them said Florida International University. Based on your sample, can we assume that FIU is the favorite university of approximately half of the students in your school? In your class?
TEST ITEM SPECIFICATIONS
This benchmark may be assessed using:
- Clarification :
Students will analyze appropriateness of a sample population and sample size used to make generalizations about the population.
Students will identify an appropriate sample for a population.
Students will evaluate hypotheses and conclusions based on a statistical sample.
- Content Limits :
Items may include common misuses of statistics based on an inadequate or non-representative sample, or an over-generalized result.
Items may provide measures of central tendency or variability.
Items will not include calculating measures of central tendency or variability.
No more than 25 sets of data are to be displayed.
The sample size should not exceed the general content limits.
- Stimulus Attributes :
Items should be set in a real-world context.
Graphics should be used in some of these items, as appropriate.
SAMPLE TEST ITEMS (1)
- Test Item #: Sample Item 1
- Question: A cable television company will add new channels to its service. The company president wants to have 100 customers surveyed by telephone in a single weekend to find out what kind of channels customers want. Which method would increase the bias in the survey?
- Difficulty: N/A
- Type: MC: Multiple Choice