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Confidence interval

Chapter 19 Powerpoint Outline

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Stats: Modeling the World Chapter 19 Confidence Intervals for Proportions Making an educated guess? Rarely do we actually know information about our population. Usually we: - take a sample - find a sample statistic - make a guess about the true parameter value Our guess will be a bit off, this is the idea of a confidence interval. The sample proportion ? Recall from Chapter 18 that the sampling distribution model of ? is centered at p, with standard deviation . Since we don?t know p, we can?t find the true standard deviation of the sampling distribution model, so we need to find the standard error: The Empirical Rule Revisited? By the 68-95-99.7% Rule, we know - about 68% of all samples will have ? ?s within 1 SE of p

Chapter 19 Answer Key

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Chapter 19 Confidence Intervals for Proportions 339 Chapter 19 ? Confidence Intervals for Proportions 1. Margin of error. He believes the true proportion of voters with a certain opinion is within 4% of his estimate, with some degree of confidence, perhaps 95% confidence. 2. Margin of error. He believes the true percentage of children who are exposed to lead-base paint is within 3% of his estimate, with some degree of confidence, perhaps 95% confidence. 3. Conditions. a) Population ? all cars; sample ? 134 cars actually stopped at the checkpoint; p ? proportion of all cars with safety problems; p? ? proportion of cars in the sample that actually have safety problems (10.4%). Plausible Independence condition: There is no reason to believe that the safety problems
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