A two-tailed test is conducted at the 5% significance level. What is the right tail percentile required to reject the null hypothesis?
To find the right tail percentile required to reject the null hypothesis in a two-tailed test at the 5% significance level, we first need to understand the concept of the significance level and the critical value.
The significance level, also known as alpha (α), represents the probability of rejecting the null hypothesis when it is actually true. In this case, the significance level is given as 5%, or 0.05.
In a two-tailed test, we divide the significance level by 2 to account for both tails of the distribution. Since we want to reject the null hypothesis in the right tail, we are interested in the upper 2.5% (0.025) of the distribution.
To find the right tail percentile required, we can refer to a standard normal distribution table (also known as a Z-table) or use statistical software or calculators.
Using a standard normal distribution table, we can look up the value that corresponds to a cumulative probability of 0.975 (1 - 0.025), which represents the upper 2.5% of the distribution. This value is approximately 1.96.
Therefore, the right tail percentile required to reject the null hypothesis in a two-tailed test at the 5% significance level is 1.96.