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To calculate a proportion from a single sample: = count of “successes” in sample

Sample Proportions A percent out of the total sample that responds a particular way. To calculate a proportion from a single sample: = count of “successes” in sample sample size (n).

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To calculate a proportion from a single sample: = count of “successes” in sample

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  1. Sample Proportions A percent out of the total sample that responds a particular way. To calculate a proportion from a single sample: = count of “successes” in sample sample size (n) In a study of people’s favorite fast food restaurants, 235 people said they prefer Zaxby’s out of the 672 people that were surveyed. What proportion of the people surveyed claimed they preferred Zaxby’s?

  2. Central Limit Theorem for Proportions For multiple samples each of size n, if AND , then a Normal approximation can also be used for the distribution of proportions.

  3. Once CLT applies, we can then use any sample proportion and a desired confidence level to estimate the TRUE PROPORTION for the entire population. Sample proportion TRUE proportion will fall somewhere within this interval

  4. Confidence Interval Formula for Proportions Using the proportion of the sample that preferred Zaxby’s, create a 90% confidence interval for the proportion of all people that prefer Zaxby’s.

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