Talk:Binomial test

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Dear author, Are you sure we cannot reject the null hypothesis at the 5% significance level ? Maybe at 1% since p-value is .027?

It's best not to address questions using 'Dear author' - articles are written collaboratively. Richard001 08:29, 23 May 2007 (UTC)

Working at critical significance level 0.05, we may not reject the null hypothesis in this case. The null hypothesis was that the die is fair (two-tailed), not that the die is loaded towards 6 (a one-tailed statement) but, to calculate the binomial test statistic, we run a one-tail test. The result (P = 0.27) must then be multiplied by 2 before comparing with the critical significance level, 0.05. Thus, 2(0.27) > 0.05, so we cannot reject the null hypothesis.