04_11ans - thought inflation of unemployment was a more...

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STAT 410 Examples for 04/11/2008 Spring 2008 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 α = 0.05 to test H 0 : p XO = p YO , p XA = p YA , p XB = p YB , p XAB = p YAB . Expected frequencies: Blood Type O A B AB Town X 138 72 60 30 300 Town Y 92 48 40 20 200 230 120 100 50 500 Q = ( ) ( ) ( ) ( ) 30 30 25 60 60 70 72 72 75 138 138 130 2 2 2 2 - + - + - + - ( ) ( ) ( ) ( ) 20 20 25 40 40 30 48 48 45 92 92 130 2 2 2 2 - + - + - + - + 7.72192 . χ 2 ( ( r – 1 ) × ( c – 1 ) = ( 2 – 1 ) × ( 4 – 1 ) = 3 d.f. ) 2 05 . 0 = 7.815 . 7.72192 > / 7.815. Do NOT Reject H 0 . P-value 0.052122 > α . Do NOT Reject H 0 .
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2. In a random sample of 500 voters, each individual was asked whether he or she
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Unformatted text preview: 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 H : political party affiliation and perceived problem are independent. H A : Not H ( political party affiliation and perceived problem are not independent ). Party Inflation Unemployment Republican 150 70 220 136.4 83.6 1.356012 2.212440 Democrat 100 80 180 111.6 68.4 1.205735 1.967251 Other 60 40 100 62 38 0.064516 0.105263 310 190 500 Q = 6.911217 . ( 3 – 1 ) ( 2 – 1 ) = 2 degrees of freedom. 2 05 . & = 5.991 . Q = 6.911217 > 5.991 = 2 α χ . Reject H ....
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This note was uploaded on 02/11/2011 for the course STAT 410 taught by Professor Monrad during the Spring '08 term at University of Illinois, Urbana Champaign.

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04_11ans - thought inflation of unemployment was a more...

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