2 Tailed Hypothesis Test Example. Running a Two-Tailed z-test Hypothesis Test by Hand. So if the alternate hypothesis is written with a sign that means that we are going to perform a 2-tailed test because chances are it could be more than 100 or less than 100 which makes it 2-tailed. Lets test the parameter p of a Binomial distribution at the 10 level. The Two-sample T-test is used when the two small samples n 30 are taken from two different populations and compared.
The following figures illustrate the rejection regions defined by the decision rule for upper- lower- and two-tailed Z tests with α005. Right-tailed test when the critical region is on the right side of the distribution of the test value. The mean salary of a group of people is equal to 10000. The Two-sample T-test is used when the two small samples n 30 are taken from two different populations and compared. For example I want to have confidence of 90 that A and B are equa. Suppose it is up to you to determine if a certain state Michigan receives a significantly different amount of public school funding per student than the USA average.
In this method both the sides of a critical area is used.
Here the sample size is 30 the sample mean is 621 the sample standard deviation is 1346 and the test is for a mean different from 60. A two-tailed test will test both if the mean is significantly greater than x and if the mean significantly less than x. One-tailed test indicates that the null hypothesis should be rejected when the test value is in the critical region on one side. Our null hypothesis is that the mean is equal to x. Running a Two-Tailed z-test Hypothesis Test by Hand. The level of significance which is selected in Step 1 eg α 005 dictates the critical value.