document.write( "Question 1143516: In 120 throws of single dice, the following distribution of faces was obtained.
\n" ); document.write( "Faces 1 2 3 4 5 6
\n" ); document.write( "Frequency 30 25 18 10 22 15
\n" ); document.write( "Can you say that the dice is defective?
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Algebra.Com's Answer #764839 by Boreal(15235)\"\" \"About 
You can put this solution on YOUR website!
Ho=frequencies equal
\n" ); document.write( "Ha=they are not
\n" ); document.write( "alpha=0.05 (could choose another)
\n" ); document.write( "Expect the frequencies of 20 for each.
\n" ); document.write( "Test statistic is a Chi-Square with 5 df
\n" ); document.write( "if one uses the 5% level of significance, the critical value is 11.07\r
\n" ); document.write( "\n" ); document.write( "the test statistic is the sum of (O-E)^2/E, where E is expected and O observed.
\n" ); document.write( "This is
\n" ); document.write( "100/20=5
\n" ); document.write( "25/20=1.25
\n" ); document.write( "4/20=0.2
\n" ); document.write( "100/20=5
\n" ); document.write( "2/20=0.1
\n" ); document.write( "25/20=1.25
\n" ); document.write( "The sum is 12.8, which has a p-value between 0.01 and 0.05\r
\n" ); document.write( "\n" ); document.write( "conclude that the die is biased or defective in this instance.
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