VCU STAT 210  Lecture27 (73 pages)
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Lecture27
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 73
 School:
 Virginia Commonwealth University
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 Stat 210  Basic Practice of Statistics
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STAT 210 Lecture 27 Confidence Intervals for Population Proportions October 30 2017 Test 5 Monday November 6 Covers the chapter on proportions and relevant concepts from chapter VII Combination of multiple choice fill in the blank questions and problems written questions Formulas and tables provided please bring calculator and writing instrument Practice Problems Sailboat Pages 252 through 257 Relevant problems IX 8 IX 12 a and b IX 13 IX 15 a and b IX 16 IX 17 and IX 18 Recommended problems IX 13 and IX 18 Hummingbird Pages 210 through 215 Relevant problems VIII 8 VIII 12 a and b VIII 13 VIII 15 a and b VIII 16 VIII 17 and VIII 18 Recommended problems VIII 13 and VIII 18 Additional Reading and Examples Sailboat Read pages 248 through 251 Pay particular attention to pages 249 and 250 Hummingbird Read pages 206 through 209 Pay particular attention to pages 207 and 208 Top Hat Statistical Inference Statistical inference involves using statistics computed from a sample data to make statements about unknown population parameters Statistical Inference Statistical inference involves using statistics computed from a sample data to make statements about unknown population parameters This chapter we want to make inferences about the population proportion p Example 1 Of interest is to estimate the proportion of all students at this university who have children What is the population of interest What is the parameter of interest Example 1 Of interest is to estimate the proportion of all students at this university who have children In this situation the population of interest is all students at this university and the parameter of interest is p the proportion of all students at this university with children Example 1 Of interest is to estimate the proportion of all students at this university who have children In this situation the population of interest is all students at this university and the parameter of interest is p the proportion of all students at this university with children It likely is not possible to determine the exact value of p and hence it will need to be estimated Point Estimate The point estimate of the population proportion p is the sample proportion p p number of successes in the sample sample size n Confidence Interval for p Goal Estimate the unknown population proportion p Point Estimate Sample proportion p Situation While p should be close to p it is very unlikely that p will equal p exactly Confidence Interval for p Goal Estimate the unknown population proportion p Point Estimate Sample proportion p Situation While p should be close to p it is very unlikely that p will equal p exactly Therefore to the point estimate we subtract and add a margin of error to create a 100 C confidence interval estimate for p Sampling Distribution of p Assumptions 1 Simple random sample from the population Sampling Distribution of p Assumptions 1 Simple random sample from the population 2 A large enough sample so that
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