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Section1:
2 x 2 Tables
Chi-Square
Degrees of Freedom
p-Value
Flip Coin 100 times
Breast Cancer Example

 

Step 2: obtaining a p-value

So we have a chi-square statistic of 0.8333, with one degree of freedom.

If we consult a statistical table of the distribution (e.g., http://www.an.psu.edu/jxm57/irp/chisquar.html or http://bmj.com/collections/statsbk/apptabc.html [for help, see how to find probability in a statistical table]), we find that these figures correspond to considerably more than a 0.30 probability of observing by chance an outcome as extreme or more extreme. This p-value exceeds the conventional requirement for statistically significant results, which is set at 0.05.

Thus, the null hypothesis cannot be rejected. It is conceivable that the coins do not differ in the probability of obtaining heads.


 
Copyright © 2002 by Theodore Eisenberg & Kevin M. Clermont
Cornell University
Cornell Law School
Cornell University
Comments to ted@teddy.law.cornell.edu
Last updated: September 2002