# P-Value in one vs two sided tests

Let's assume we have a right one-sided test with a p-value of 0.03 and a positive test statistical value. Now let's perform a two-sided test with the same datums. Are we going to reject H0? The significance level is 5%, the test could be either Z or T with one population, so the distribution is symmetric.

• Please clarify your specific problem or provide additional details to highlight exactly what you need. As it's currently written, it's hard to tell exactly what you're asking.
– Community Bot
Jan 13, 2023 at 21:24
• What's the significance level? Is the test statistic continuous? Is its distribution symmetric? Jan 14, 2023 at 9:46
• What test do you have in mind ? Jan 14, 2023 at 15:02
• Sorry, the significance level is 5%, I test could be either Z or T with one population, so the distribution is symmetric.
– Nati
Jan 16, 2023 at 14:46
• It's just that when you are conducting a two-sided test, you have to use both tails. Because you don't know if you should use the right tail or the left tail. Jan 17, 2023 at 20:31

The more interesting question is, how is it possible and how can it be reasonable that the same data reject the $$H_0$$ when testing one-sided, but don't reject when testing two-sided?