VCU STAT 210  Lecture26 (78 pages)
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Lecture26
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 Pages:
 78
 School:
 Virginia Commonwealth University
 Course:
 Stat 210  Basic Practice of Statistics
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STAT 210 Lecture 26 Sampling Distributions of the Sample Proportion p October 27 2017 Practice Problems Sailboat Pages 252 through 257 Relevant problems IX 1 through IX 7 Recommended problems IX 1 IX 3 and IX 7 Hummingbird Pages 210 through 215 Relevant problems VIII 1 through VIII 7 Recommended problems VIII 1 VIII 3 and VIII 7 Additional Reading and Examples Sailboat Read pages 248 through 251 Pay particular attention to pages 248 249 Hummingbird Read pages 206 through 209 Pay particular attention to pages 206 207 Top Hat Motivating Example For both faculty and students exercise is an activity that can lead to both a healthy body and a healthy mind The goal is to describe the distribution of the proportion of a simple random sample of 225 VCU faculty and students who exercise at the VCU Cary Street Recreational Center for two hours or longer Statistical Inference Statistical inference involves using statistics computed from sample data to make statements about unknown population parameters In this chapter we will learn how to use the sample proportion p to make statistical inferences about the population proportion p Statistical Inference Statistical inference involves using statistics computed from sample data to make statements about unknown population parameters When making statistical inferences the first step is to identify the population of interest and the specific parameter of interest Consider the following three examples 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 2 MTV was launched on August 1 1981 and initially played music videos guided by on air hosts Currently MTV plays a limited selection of music videos but primarily broadcasts a variety of popular culture and reality television shows targeted at adolescents and young adults However since the show started in 1981 there is still a loyal following of viewers from the 1980 s and of interest is to estimate the proportion of current viewers who are age 30 or older What is the population of interest What is the parameter of interest Example 2 MTV was launched on August 1 1981 and initially played music videos guided by on air hosts Currently MTV plays a limited selection of music videos but primarily broadcasts a variety of popular culture and reality television shows targeted at adolescents and young adults However since the show started in 1981 there is still a loyal following of viewers from the 1980 s and of interest is to estimate the proportion of current viewers who are age 30 or older In this situation the population consists of all current viewers of MTV and
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