\f4. In the journal Mental Retardation, an article reported the results of a peer tutoring program to help mildly mentally retarded children learn to read. In the experiment, the mildly retarded children were randomly divided into two groups: the experimental group received peer tutoring along with regular instruction, and the control group received regular instruction with no peer tutoring. There were nj = n2 = 30 children in each group. The Gates-MacGintie Reading Test was given to both groups before instruction began. For the experimental group, the mean score on the vocabulary portion of the test was 21 = 344.5 with sample standard deviation $1 = 49.1. For the control group, the mean score on the same test was 12 = 354.2 with sample standard deviation $2 = 50.9. Use a 5% level of significance to test the hypothesis that there was no difference in the vocabulary scores of the two groups before the instruction began. a ) State the null and alternate hypotheses and note the value of o b ) Compute the sample test statistic and corresponding t-value. c ) Estimate the P-value