Textbook Notes (363,339)
BIOL499A (11)
Chapter 22

# Chapter 22final.pdf

13 Pages
81 Views

School
University of Alberta
Department
Biology (Biological Sciences)
Course
BIOL499A
Professor
Blaine Mullins
Semester
Winter

Description
Chapter 22: Comparing Two Proportions In this chapter, we will talk about:  Hypothesis test for comparing two proportions.  Large-sample confidence intervals for comparing two proportions, Suppose a sample of 300 urban adult residents of Alberta revealed 63 who favored increasing the highway speed limit from 110 km/h to 120 km/h, whereas a sample of 250 rural residents yielded 75 who favored the increase. Is there enough evidence to conclude a difference between proportion of adult residents of Alberta who favored increasing the highway speed between urban and rural? Interested parameter1 2p Estimate:pp1 2 0 21 0.30 0.09 The test statistics for tes0 12   is: Estimate0  p1 2 TS  eis.. ) p ˆˆp 1 2 p11 p2 2 Var p 1 2p ˆ1Var pˆ2 Var p n1 2 p qp p p p p (1   ) (1 )  ( 1 2 p 11 2 2 1 1 2 2 n1 2 n1 n2 ˆˆˆ ˆ  E ( )  p p1 1 22 ) (1 ) 1 2 n1 2 If Hp0 12  p1 2 is true, then p1 1 2 2 (1 ) SD ( )1 2p  n1 2 p(1p  ) (1 ) p(1 ) 1 1 n n n n   1 2 2 1   Therefore,  11 SE(. pˆ1 2 1( p)  p     2 Estimate 0  p1 2 TS   eiE.. 11 p(1  n1 2 Inference for Two Population Proportions, p1 p 2: For testingH 0: p1 p 2 0, when n is large, the test statistic is p  p  0 TS  1 2 ~ Standard normal distribution if H is true, where 1 1 0 p (1 p)(  ) n1 n 2 yy pnn ˆ  pˆ  1 2 1122 n1 2 n1 2 * ForHp:a0 1 2 , we reject H 0ifTS  z * For Hpap0 1 2 , we reject H 0if TS  z ForH : 0  , we reject H ifTS  z * or TS  z * a 1 2 0 A 100(1)% approximate confidence interval for difference of two population proportions, p1 p 2 , is given by: ˆ ˆ ˆ ˆ p  p  z * p 11 p 1  p 21 p )2 1 2 n n 1 2 Example 22.1: A sample of 100 females was collected from ethnic group A and a sample of 100 from ethn
More Less

Related notes for BIOL499A

OR

Don't have an account?

Join OneClass

Access over 10 million pages of study
documents for 1.3 million courses.

Join to view

OR

By registering, I agree to the Terms and Privacy Policies
Just a few more details

So we can recommend you notes for your school.