Table 3: Critical values #\chi^2#-distribution

#right# #sided# #p-value#

\begin{eqnarray*} df& |&0.250&0.100&0.050&0.025&0.010&0.005&0.001\\ \hline 1 &| &1.3233&2.7055&3.8415&5.0239&6.6349&7.8794&10.8276\\ 2 &|&2.7726&4.6052&5.9915&7.3778&9.2103&10.5966&13.8155\\ 3 &|&4.1083&6.2514&7.8147&9.3484&11.3449&12.8382&16.2662\\ 4 &|&5.3853&7.7794&9.4877&11.1433&13.2767&14.8603&18.4668\\ 5 &|&6.6257&9.2364&11.0705&12.8325&15.0863&16.7496&20.5150\\ 6 &|&7.8408&10.6446&12.5916&14.4494&16.8119&18.5476&22.4577\\ 7 &|&9.0371&12.0170&14.0671&16.0128&18.4753&20.2777&24.3219\\ 8 &|&10.2189&13.3616&15.5073&17.5345&20.0902&21.9550&26.1245\\ 9 &|&11.3888&14.6837&16.9190&19.0228&21.6660&23.5894&27.8772\\ 10 &|&12.5489&15.9872&18.3070&20.4832&23.2093&25.1882&29.5883\\ 11 &|&13.7007&17.2750&19.6751&21.9200&24.7250&26.7568&31.2641\\ 12 &|&14.8454&18.5493&21.0261&23.3367&26.2170&28.2995&32.9095\\ 13 &|&15.9839&19.8119&22.3620&24.7356&27.6882&29.8195&34.5282\\ 14 &|&17.1169&21.0641&23.6848&26.1189&29.1412&31.3193&36.1233\\ 15 &|&18.2451&22.3071&24.9958&27.4884&30.5779&32.8013&37.6973\\ 16 &|&19.3689&23.5418&26.2962&28.8454&31.9999&34.2672&39.2524\\ 17 &|&20.4887&24.7690&27.5871&30.1910&33.4087&35.7185&40.7902\\ 18 &|&21.6049&25.9894&28.8693&31.5264&34.8053&37.1565&42.3124\\ 19 &|&22.7178&27.2036&30.1435&32.8523&36.1909&38.5823&43.8202\\ 20 &|&23.8277&28.4120&31.4104&34.1696&37.5662&39.9968&45.3147\\ 25 &|&29.3389&34.3816&37.6525&40.6465&44.3141&46.9279&52.6197\\ 30 &|&34.7997&40.2560&43.7730&46.9792&50.8922&53.6720&59.7031\\ 40 &|&45.6160&51.8051&55.7585&59.3417&63.6907&66.7660&73.4020\\ 50 &|&56.3336&63.1671&67.5048&71.4202&76.1539&79.4900&86.6608\\ 60 &|&66.9815&74.3970&79.0819&83.2977&88.3794&91.9517&99.6072\\ 70 &|&77.5767&85.5270&90.5312&95.0232&100.4252&104.2149&112.3169\\ 80 &|&88.1303&96.5782&101.8795&106.6286&112.3288&116.3211&124.8392\\ 90 &|&98.6499&107.5650&113.1453&118.1359&124.1163&128.2989&137.2084\\ 100&|&109.1412&118.4980&124.3421&129.5612&135.8067&140.1695&149.4493 \end{eqnarray*}