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 #563503 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
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( "Ho: Row and Column factors are independent
\n" ); document.write( "H1: Row and Column factos are dependent
\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
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\n" ); document.write( "I ran a Chi-Sq Test on the DATA and got the following::
\n" ); document.write( "test stat:: Chi-Sq = 1.12
\n" ); document.write( "p-value = 1.18*10^-9
\n" ); document.write( "degrees of freedom:: (2-1)(3-1) = 2
\n" ); document.write( "-------
\n" ); document.write( "Conclusion: Since the p-value is less than 5%, reject Ho.
\n" ); document.write( "The row and column factors are dependent.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "------\r
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