Question

3. At test for two related samples Aa Aa A researcher is interested in how left-handedness is related to hemispheric specialization in the brain. She matches N 25 right-handed students with left-handed students on their cognitive abilities and hand-eye coordination and then asks them to identify letter strings flashed onto the right or left sides of a screen as either words or nonwords she then compares the two groups on the number of non words flashed onto the right side of the screen mistakenly identified as words. She thinks that the left-handed students will make a different number of mistakes than the right-handed students. Differences will be calculated by subtracting the number of mistakes made by the right-handed students from those made by the left-handed students (Left Right). This is a two-tailed hypothesis test, because there is no expectation that one group will make more mistakes than the other. Thus, the null hypothesis and alternative hypotheses are: Ho: Ho = 0; and H1: Po 0. Assume that all required assumptions for the t test for related samples are satisfied. Remember that because this is a two-tailed test, you need to pay attention to the alpha levels in the second row of the following table. You also need to pay attention to the degrees of freedom. The appropriate degrees of freedom to use are df The t distribution X Proportion in One Tail 0.10 0.025 0.25 0.05 0.01 0.005 Proportion in Two Tails Combined df 0.10 0.02 0.50 0.20 0.05 0.01 3.078 31.821 1 1.000 6.314 12.706 63.657 2 0.816 1.886 2.920 4.303 6.965 9.925 3 0.765 1.638 2.353 3.182 4.541 5.841 2.132 2.776 3.747 4.604 4 0.741 1.533 N

Answer 1

Answer : Given that Hoi Here against H: Moto S__two tailed bypothesis_test, - t test statistic - X - o s/n t has (0-1) degrees of freedom ns Sample Size - 25 (In given prob.it is 'N') 41) Appropriate degrees of freedom to use are def . n-1 25-] = 24 Lidia * 2) "The critical vane for this t-test at 2:0.05. - Inclouen _524,0.05 % too failed). = t20.025 = 2.064 critical value for _t-test at 420.05 is 2.064 A3) given that Ď = 0.21 So=0.41 t statistica (under Hol 0:21 0.41/525 = 2.56 EstatistC2.56

Here t-statistic=2-56> t-critical = 2.064 The null Mypothesis to be rejected be researcher may conclude that the number of mistake made by left-handed students 3 different than the number made by night houded studente