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Utilizing Statistical Practices for Estimating Population Proportions in Introductory Statistics

This resource emphasizes the Standards for Mathematical Practice (MP5) in an introductory statistics course, focusing on the strategic use of tools for estimating population parameters. It guides the process of using sample survey data to estimate a population proportion (p) while developing a margin of error through simulation models. Key considerations include ensuring proper sampling conditions and technology utilization, specifically using the TI-83/84 calculator. This resource also covers how to interpret confidence intervals within the context of the data and the stated confidence level.

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Utilizing Statistical Practices for Estimating Population Proportions in Introductory Statistics

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  1. Highlighting Standards for Mathematical Practice in an Intro Stats CoursebyFides UsheSpringfield College, MA

  2. Standard for Mathematical Practice:MP5: Use appropriate tools strategically

  3. Common Core Content Standard:CCSS.Math.Content.HSS-IC.B.4 Use data from a sample survey to estimate a population mean or proportion; develop a margin of error through the use of simulation models for random sampling.

  4. IDENTIFY THE POPULATION PARAMETERTO BE ESTIMATED

  5. POPULATION PROPORTION p-KEYWORDS- • Proportion of all • Percentage of all • Probability of success • p

  6. CHECK THE REQUIREMENTS • Do you have a simple random sample (SRS)? • Are the conditions for a Binomial Distribution met? • Is the number of successes, x, in the sample large enough? • Is the number of failures, (n-x), in the sample large enough?

  7. WHAT DO YOU NEED TO CONSTRUCT A CONFIDENCE INTERVAL for p? • x, the number of successes in the sample • n, the sample size or the total number of trials in a binomial experiment • Level of confidence: c-level - (in decimal form)

  8. SELECT APPROPRIATE TECHNOLOGYGRAPHING CALCULATOR-TI-83/84 PLUS

  9. SELECT THE CORRECT COMMANDS FOR POPULATION PROPORTION • STAT > TESTS > 1-PropZINT • x: • n: • C-Level: • Calculate

  10. INTERPRET THE CONFIDENCE INTERVAL IN CONTEXT • Have you used the correct format for interpreting the confidence interval? • Have you included the stated confidence level in your statement?

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