Approx Chi Square. Similarly in analyses of contingency tables the chi square approximation will be poor for a small sample size and it is preferable to use fisher s exact test. Chi n q 2 approx frac 1 2 z q sqrt 2 n 2 your variation can be derived from the asymptotic result sqrt 2 chi n 2 sqrt 2 n 1 overset text approx sim text n 0 1 which is also asymptotically valid since the effect of the minus one is vanishing as n rightarrow infty.
In these results the p value is 0 8853. And the groups have different numbers. Therefore you cannot conclude that the observed proportions are significantly different from the specified.
The results are in.
Similarly in analyses of contingency tables the chi square approximation will be poor for a small sample size and it is preferable to use fisher s exact test. Pearson s chi squared test is used to determine whether there is a statistically significant difference between the expected frequencies and the. Or have you found something significant. Chi n q 2 approx frac 1 2 z q sqrt 2 n 2 your variation can be derived from the asymptotic result sqrt 2 chi n 2 sqrt 2 n 1 overset text approx sim text n 0 1 which is also asymptotically valid since the effect of the minus one is vanishing as n rightarrow infty.