Urban Rural Have never smoked 1448 1228 1552 772 Have smoked Using a 5% signific

Question

Urban Rural Have never smoked 1448 1228 1552 772 Have smoked Using a 5% significance level, test the null hypothesis that the proportions of urban and rural students who have smoked and who have never smoked are homogencous. TA11.4 Refer to Data Set IV on the Manchester Road Race that accompanies this text (see Appendix A). Select a random sample of 500 participants. Perform a hypothesis test with the null hypothesis that the gender of a participant (listed in column 6) is independent of whether the person is from Connecticut or not from Connecticut (listed in column 9) Copyright 2016, 2013, 2010, 2007, 2004, 2001, John Wley&Sons;, Inc. All rights reserved

Explanation / Answer

Ans:

Expected count=row sum*column sum/overall sum

Test statistic=83.205

df=(2-1)*(2-1)=1

p-value=chidist(83.205,1)=0

As,p-value<0.05,we reject null hypothesis.

There is not sufficient evidence to conclude that proportions of urban and rural students who have smoked and who have never smoked are homogeneous.

Observed(O) Urban Rural Total Have never smoked 1448 1228 2676 have smoked 1552 772 2324 Total 3000 2000 5000 Expected(E) Urban Rural Total Have never smoked 1605.6 1070.4 2676 have smoked 1394.4 929.6 2324 Total 3000 2000 5000 (O-E)^2/E Urban Rural Have never smoked 15.469 23.204 have smoked 17.813 26.719 Total chi square score= 83.205

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