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

If P ≤ .05 in a two-tailed test, it is 2.5% at each tail.

100% - 2.5% = ?

97.5%

To determine the right tail percentile required to reject the null hypothesis in a two-tailed test at the 5% significance level, follow these steps:

1. Determine the significance level: In this case, the significance level is 5%, which is denoted as 0.05.

2. Divide the significance level by 2: Since it is a two-tailed test, divide the significance level by 2 to get the individual tail significance level.

3. Calculation: Divide 0.05 by 2, which equals 0.025.

4. Subtract the result from 1: Subtract the result obtained in step 3 from 1 to get the right tail percentile required to reject the null hypothesis.

Let's calculate it:
1 - 0.025 = 0.975

Therefore, the right tail percentile required to reject the null hypothesis in a two-tailed test at the 5% significance level is 0.975 (or 97.5%).

To determine the right tail percentile required to reject the null hypothesis in a two-tailed test at the 5% significance level, we need to split the significance level equally between the two tails.

In a two-tailed test, we have a null hypothesis that assumes no difference or effect, and an alternative hypothesis that assumes a significant difference or effect. The 5% significance level indicates that we are willing to accept a 5% chance of incorrectly rejecting the null hypothesis.

Since this is a two-tailed test, we divide the 5% significance level by 2, which yields 2.5% for each tail. To reject the null hypothesis in the right tail, we need to find the value that corresponds to a 2.5% right tail area (percentile).

To determine this value, we can refer to a standard normal distribution table or use statistical software. In a standard normal distribution, the right tail percentile corresponding to 2.5% is approximately 1.96.

Therefore, in order to reject the null hypothesis in a two-tailed test at the 5% significance level, the test statistic must exceed 1.96 in the right tail.