A two-tailed test is conducted at the 5% significance level. What is the right tail percentile required to reject the null hypothesis? Show work to understand.

To determine the right tail percentile required to reject the null hypothesis in a two-tailed test conducted at the 5% significance level, we need to divide the significance level by 2.

In this case, the significance level is 5% or 0.05. Dividing this by 2 gives us:

0.05 / 2 = 0.025

The right tail percentile required to reject the null hypothesis is 0.025. This means that the test statistic must fall in the top 2.5% of the distribution in order to reject the null hypothesis.

To find the specific value associated with the right tail percentile of 0.025, we can consult a standard normal distribution table or use statistical software.

Using a standard normal distribution table, we can find the z-score corresponding to the right tail percentile of 0.025. The z-score associated with a right tail percentile of 0.025 is approximately 1.96.

Therefore, in order to reject the null hypothesis in a two-tailed test conducted at the 5% significance level, the test statistic must be greater than 1.96.