Posted by Donaldson on Thursday, May 13, 2010 at 11:33am.
A two-tailed test means that the results could be in either tail of the distribution curve. For example, if you are doing a two-tailed z-test at .05 level of significance, the critical or cutoff values to reject the null would be z = + or - 1.96. If the test statistic exceeds the critical value in either tail (+ or -), then the null is rejected in favor of the alternate hypothesis. If the test statistic does not exceed the critical value in either tail (+ or -), then the null cannot be rejected.
I hope this will help.
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