Chp15-Module 15 - Inference for Proportions - pv

Chp15-Module 15 - Inference for Proportions - pv - Module...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Module 15 Inferences for Population Proportions Objectives: One should be able to • construction confidence intervals for population proportions • conduct hypothesis tests for population proportions • conduct inference studies on two population proportions Some Starting Vocabulary • Population proportion – the proportion of a population that has a specified characteristic. • Sample proportion – the proportion of a sample that has a specified characteristic. Sample Proportion The most common statistic used for estimating a population proportion, p, is the sample proportion defined by ˆ x p n = where x denotes the number of members in the sample having a specified characteristic and n is the sample size. Typical Assumptions ~( , ) XB i n o m i a l n p recall for a binomial distribution x np μ = and (1 ) x np p σ =− Recall that for large n ( ) ~, ( 1 ) X Nn p n p p μσ == The Normal distribution is a good approximation of the Binomial, i.e., It follows that 1( 1 ) ˆ p p pX N p nn ⎛⎞ = ⎜⎟ ⎝⎠
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 09/26/2009 for the course OM 550 taught by Professor Kin during the Spring '09 term at Universidad Católica del Maule.

Page1 / 5

Chp15-Module 15 - Inference for Proportions - pv - Module...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online