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Chapter 10: Confidence Intervals

Chapter 10: Confidence Intervals. Section 2: Estimating a Population Proportion. Margin of Error. To calculate our margin of error in this case, we will use:. CI for Population Proportion (when p is known ).

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Chapter 10: Confidence Intervals

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  1. Chapter 10: Confidence Intervals Section 2: Estimating a Population Proportion

  2. Margin of Error • To calculate our margin of error in this case, we will use:

  3. CI for Population Proportion(when pis known) • Choose a SRS of size n from a population having unknown proportion p of successes. An approximate level C confidence interval for pis:

  4. PRACTICE IT! • A May 2000 Gallup Poll found that 38% of a random sample of 1012 adults said that they believe in ghosts. Find a 95% confidence interval for the true proportion of adults who believe in ghost. • We are 95% confident that the true proportion of adults who believe in ghosts is between 35% and 41%.

  5. Determining Sample Size • If we wanted to determine an appropriate sample size for a desired margin of error we would use:

  6. PRACTICE IT! • Another Gallop Poll is taken in order to measure the proportion of adults who approve of attempts to clone humans. What sample size is necessary to be within + 0.04 of the true proportion of adults who approve of attempts to clone humans with a 95% Confidence Interval?

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