Chapter 10 Problem4

Chapter 10 Problem4 - Critical value...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
QAS129:001 Instructor: Dr. Yudan Zheng 1. A sample of 500 shoppers was selected in a large metropolitan area to determine various information concerning consumer behavior. Among the questions asked was, “Do you enjoy shopping for clothing?” Of 240 males, 136 answered yes. Of 260 females, 224 answered yes. Is there evidence of a significant difference between males and females in the proportion who enjoy shopping for clothing at the 0.01 level of significance? ANSWER: 1 2 1 2 1 2 136 224 0.567, 0.862, 240 260 X X p p n n = = = = = = and p = X 1 + X 2 n 1 + n 2 = 136 + 224 240 + 260 = 0.72 P1=x1/n1=0.567 p2=x2/n2=0/862 /p=(x1+x2)/(n1+n2)= (136+224)/(240+260)=0.72 Hypotheses are: H 0 : 1 π = 2 H 1 : 1 2 where Populations: 1 = males, 2 = females
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Critical value 1=normsinv(0.01/2)==-2.58, critical value 2=2.58 Therefore, decision rule: If Z < 2.58 or Z > 2.58, reject H . Test statistic: ( 29 ( 29 ( 29 ( 29 + -= +----= 260 1 240 1 28 . 72 . 0.862-0.567 1 1 1 2 1 2 1 2 1 n n p p p p Z =-7.34 Z=(p1-p2)-(pi1-pi2)/ /p(1-/p)(1/n1 +1/n2) Decision: Since Z = 7.34 is well below the lower critical bound of 2.58, reject H . There is sufficient evidence to conclude that a significant difference exists in the proportion of males and females who enjoy shopping for clothing....
View Full Document

Ask a homework question - tutors are online