document.write( "Question 928151: Hello,\r
\n" ); document.write( "\n" ); document.write( "I am working on the following statistics problem:
\n" ); document.write( "Using the following cannabis abuse treatment distribution, please compute the decision rule value and the Chi-Square value. Then draw your conclusion.\r
\n" ); document.write( "\n" ); document.write( " Heavy Use, Recreational Use, No Use
\n" ); document.write( "Treatment 15, 15, 45
\n" ); document.write( "No Treatment 50, 15, 10\r
\n" ); document.write( "\n" ); document.write( "Below is what I've started with, but not sure if I'm on the right track?
\n" ); document.write( "1. Set up hypotheses: Ho: There is no difference between cannabis use in the treatment and no treatment groups. (Ho µ=µo)\r
\n" ); document.write( "\n" ); document.write( "H1: There is a difference between the cannabis use in the treatment vs. no treatment groups. (H1 µ ≠ µo)
\n" ); document.write( " *Alpha= 0.05\r
\n" ); document.write( "\n" ); document.write( "2. Select Appropriate test: Both variables are categorical; use Chi-Square test of independence\r
\n" ); document.write( "\n" ); document.write( "3. Degrees of freedom= rows-1 x columns-1= 1 * 2= 2; critical x²= 5.99; reject Ho if x² ≥ 5.99; fail to reject Ho if x²<5.99\r
\n" ); document.write( "\n" ); document.write( "4. Test statistic: O= observed, E= expected; (O-E); (O-E) ²/E: \r
\n" ); document.write( "\n" ); document.write( "Your help is greatly appreciated.\r
\n" ); document.write( "\n" ); document.write( "Thank you,
\n" ); document.write( "Jillian
\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #563511 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
 
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document.write( "Hi
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document.write( "	       Heavy Use,	Recreational Use,     No Use      tot
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document.write( "Treatment	   15	          15	               45          75
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document.write( "exp                       32.5            15                   27.5
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document.write( "No Treatment	   50	          15	               10          75
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document.write( "Exp                       32.5            15                   27.5
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document.write( "tot                              65                   30                   55           150
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document.write( "\"E%5B1%2C1%5D\" = 75*65/150 = 32.5
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document.write( "\"E%5B1%2C2%5D\" = 75*30/150 = 15
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document.write( "\"E%5B1%2C3%5D\" = 75*55/150 = 27.5
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document.write( "\"E%5B2%2C1%5D\" = 75*65/150 = 32.5
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document.write( "\"E%5B2%2C2%5D\" = 75*30/150 = 15
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document.write( "\"E%5B2%2C3%5D\" = 75*55/150  = 27.5
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document.write( "..........
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document.write( "X^2 = (15-32.5)^2/32.5 + (15-15)^2/15 + (45-27.5)^2/27.5 + (50-32.5)^2/32.5 + (15-15)^2/15 + (10-27.5)^2/27.5 = 9.42 + 11.14 +  9.42 + 11.14 = 41.11 \n" );
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