3. The Test of Significance Approach to Hypothesis Testing S/√n (n-1) If the difference between and H, is small (in absolute terms), then the t value will also be small If X=H t will be zero, then we can accept the null hypothesis As the t value deviates from zero, increasingly we will tend to reject the null hypothesis. If the computed t value lies in either of the rejection regions, we can reject the null hypothesis SEr. When we reject the null hypothesis, we say that: our finding Is istically significant. when we do not reject the null hypothesis, we say that: our finding is not statistically significant. A One or two-tailed test A The confidence interval approach and the test of significance approac3. The Test of SignificanceApproach to Hypothesis Testing If the difference between and μx is small (in absolute terms), then the |t| value will also be small. If =μx , t will be zero, then we can accept the null hypothesis. As the |t| value deviates from zero, increasingly we will tend to reject the null hypothesis. If the computed t value lies in either of the rejection regions, we can reject the null hypothesis. When we reject the null hypothesis, we say that: our finding is statistically significant. when we do not reject the null hypothesis, we say that: our finding is not statistically significant. ▲ One or two-tailed test ▲The confidence interval approach and the test of significance approach. ~ ( 1) / − − = n X t S n X t  X