Inference on Proportions

# Inference on Proportions - Chapter 9 & Section 15.4...

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Chapter 9 & Section 15.4 Statistical Inference Procedures on Proportion(s) 9.1 Confidence Interval and sample size for one proportion 9.3 Confidence Intervals for Difference in Two Population Proportions 9.2 Hypothesis Test for one proportion 9.4 Hypothesis Test for two proportions 15. 4 Hypothesis Test for more than 2 proportions 1

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Proportions Sometimes we are not interested in the average number of items that are defective, but in the percent of items that are defective. In statistics, such percents are referred to as proportions. 2
3 Note on the Notation for Proportions: The obvious notational choice for proportion or probability is p . The standard convention is to use Roman letters for sample quantities and the corresponding Greek letter for population quantities. Some books do just that. However, the Greek letter π has its own special place in mathematics. Therefore, instead of using p for sample proportion and π for population proportion, many authors (especially in engineering stats texts) use p for population proportion and p with a hat (caret) on it, (called p-hat), as the sample proportion. The use of "hat" notation for differentiating between sample and population quantities is quite common.

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9.1 Confidence Interval for Population Proportion Population Parameter: p - population proportion having a certain characteristic Point Estimate for p: = X/n,
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## This note was uploaded on 01/17/2011 for the course STAT 4714 at Virginia Tech.

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Inference on Proportions - Chapter 9 & Section 15.4...

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