04_11 - r 1 ) ( c 1 ) 1. At a recent blood drive, the...

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STAT 410 Examples for 04/11/2008 Spring 2008 The χ 2 Test of Homogeneity ( one margin fixed ) Independent random samples from r populations. Each sample classified in c response categories. H 0 : In each response category, the probabilities are equal for all r populations. The χ 2 Test of Independence ( neither margin fixed ) A random sample of size n is simultaneously classified with respect to two characteristics, one has r categories and the other c categories. H 0 : The two classifications are independent; that is, each cell probability is the product of the row and column marginal probabilities. Test Statistic: ( ) & - = cells E E O Q 2 ± ² ± ³ ´ × = = total grand total column total row E frequency cell observed O Rejection Region: Reject H 0 if Q 2 α χ , d.f. = ( No. of rows – 1 ) × ( No. of columns – 1 ) = (
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Unformatted text preview: r 1 ) ( c 1 ) 1. At a recent blood drive, the following observed frequencies of individuals blood types were recorded: Blood Type O A B AB Town X 130 75 70 25 300 Town Y 100 45 30 25 200 230 120 100 50 500 Use = 0.05 to test H : p XO = p YO , p XA = p YA , p XB = p YB , p XAB = p YAB . 2. In a random sample of 500 voters, each individual was asked whether he or she thought inflation of unemployment was a more serious problem. The individuals were also classified by party affiliation. The results were as follows: Party Inflation Unemployment Republican 150 70 Democrat 100 80 Other 60 40 Use a 5% level of significance and test whether political party affiliation and perceived problem are independent....
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04_11 - r 1 ) ( c 1 ) 1. At a recent blood drive, the...

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