Two Tailed T Test Example Problem. So if you wrote a two tailed test you must accept the null. A two-tailed test is one that can test for differences in both directions. For example a two-tailed 2-sample t-test can determine whether the difference between group 1 and group 2 is statistically significant in either the positive or negative direction. The rejection regions for three posssible alternative hypotheses using our example data are shown below.
X µ then rejection region lies on upper tail of the T-Distribution upper-tailed. The Students t-test is shown below. Similar subjects are paired off and one of two treatments is given to each subject in the pair. For example a two-tailed 2-sample t-test can determine whether the difference between group 1 and group 2 is statistically significant in either the positive or negative direction. The statistical test defined with this kind of rejection rule is known as two-tailed test. A measurement is taken on a subject before and after some treatment eg.
Both tests have a region of rejection then of 5 percent or 005.
So if you wrote a two tailed test you must accept the null. Two Sample t-test. The software shows results for a two-sided test and for one-sided tests. For example a two-tailed 2-sample t-test can determine whether the difference between group 1 and group 2 is statistically significant in either the positive or negative direction. In this case Pt X a and Pt X b will be the areas which fall respectively at left and right ends under the curve representing the sampling distribution of t X Figure 13. For example t 05 of single tailed test equals to t 025 of two.