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

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Central Limit Theorem for Proportions

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TRUE PROPORTION 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

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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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