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Analyze the relationship between confidence level, margin of error, and sample size.
Remarks
Example: A pollster wishes to estimate the proportion of United States voters who favor capital punishment. How large a sample is needed in order to be 95% confident that the sample proportion will not differ from the true proportion by more than 2%?Example: Compared to a margin of error based on 95% confidence and a sample size of n=36, explain how margin of error changes when
A) 99% confidence is used.
B) A sample size of n=30 is used.
General Information
Subject Area: X-Mathematics (former standards - 2008)
Grade: 912
Body of Knowledge: Statistics
Idea: Level 3: Strategic Thinking & Complex Reasoning
Standard: Interpreting Results - Gather data and determine confidence intervals to make inferences about means, and use hypothesis tests to make decisions. Learn to use data to approximate p-values and to determine whether correlations between variables are significant.
Date Adopted or Revised: 09/07
Content Complexity Rating:
Level 3: Strategic Thinking & Complex Reasoning
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More Information
Date of Last Rating: 06/07
Status: State Board Approved - Archived
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