A two-tailed test is conducted at the 5% significance level. What is the right tail percentile required to reject the null hypothesis?
To calculate the right tail percentile required to reject the null hypothesis in a two-tailed test at the 5% significance level, follow these steps:
Step 1: Determine the desired significance level
In this case, the desired significance level is 5%. A significance level is the maximum probability of rejecting the null hypothesis when it is true.
Step 2: Divide the desired significance level by 2
Since this is a two-tailed test, we need to divide the significance level by 2 to account for both tails. Therefore, 5% / 2 = 2.5%. This gives us the significance level for each tail.
Step 3: Subtract the result from 100%
To find the right tail percentile required to reject the null hypothesis, subtract the significance level for the right tail (2.5%) from 100%. This will give you the percentile value needed to reject the null hypothesis.
In this case, 100% - 2.5% = 97.5%. Therefore, the right tail percentile required to reject the null hypothesis is 97.5%.
It's important to note that this calculation assumes a normal distribution and a symmetrical two-tailed test. If your test follows a different distribution or has different specifications, the calculation may vary.