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Enhancing Statistical Understanding: Proportion Estimation Process

Learn to estimate population proportion in an intro stats course, meeting standards through the use of simulation models. Understand requirements and construct confidence intervals with TI-83/84 Plus calculators.

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Enhancing Statistical Understanding: Proportion Estimation Process

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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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