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Lesson Plan

Approximate a confidence interval for a population proportion by using a sample statistic and simulation

teaches Common Core State Standards CCSS.Math.Content.HSS-IC.B.4
teaches Common Core State Standards CCSS.Math.Content.HSS-IC.B.6

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Big Ideas: 95% of sample statistics will fall within 2 standard deviations of the population parameter. The population parameter is within 2 standard deviations of 95% of all sample statistics. The 95% confidence interval equals the statistic +/- the margin of error. In earlier lessons, students learned to generate data by simulating data. They have also learned about margin of error and how to find it using a formula based on the sample size. Students were then asked to interpret results using the margin of error. In this lesson, students are asked to estimate margin of error from data generated from simulations. Using this estimate, students approximate confidence intervals and determine whether or not a population parameter is plausible based on the sample statistic. This lesson prepares students for further in-depth analysis and comparison of data sets. Vocabulary: margin of error, population proportion, population parameter, confidence interval Special Materials: Spreadsheet application (recommended)
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