e. Use the results. parts c and d, to make the appropriate conclusion. 6.70 Mino

Question

e. Use the results. parts c and d, to make the appropriate conclusion. 6.70 Minority vacation-home owners. The National Association of Realtors (NAR) reported the results of a May 2006 survey of vacation-home owners. In a sample of 416 households that owned one or more vacation homes, 46 were minorities prior to 2003, 6% of vacation-home owners were minorities. 1 Do the survey results allow the NAR to conclude (at -01) that the percentage of vacation- home owners in 2006 who are minorities is larger than 6%? The NAR sent the survey questionnaire to a nationwide sample of 45,000 households that owned vacation homes. Only 416 of the households responded to the survey. How might this bias the survey results? a. b.

Explanation / Answer

here n=416 and p=0.06

SE(p)=sqrt(p(1-p)/n)=sqrt(0.06*(1-0.06)/416)=0.0116

P=46/416=0.1106

(a) null hypothesis H0:=0.06 and alternate hypothesis Ha:p>0.06

z=(P-p)/SE(p)=(0.1106-0.06)/0.0116=4.36

one tailed z(0.01)=2.33 is less than calcuated z=4.36 , so we fail to accept H0 and conclude that minoraties is larger than 6%

(b)yes there may be bias and this is non-response bias

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