Can someone assist with these 2 questions ? reviewing for finals, will provide a 5 star review!

Q1. For a comparison of the rates of defectives produced by two assembly lines, independent random samples of 100 items were selected from each line. Line A yielded 18 defectives in the sample, and line B yielded 12 defectives. (a) Find a 98% confidence interval for the true difference in proportions of defectives for the two lines. (b) Is there evidence here to suggest that one line produces a higher proportion of defectives than the other? Q2. Do SAT scores for high school students differ depending on the students' intended eld of study? Fifteen students who intended to major in engineering were compared with 15 students who intended to major in language and literature. Given in the accompanying table are the means and standard deviations of the scores on the verbal and mathematics portion of the SAT for the two groups of students: Verbal Math Engineering 37 = 446 s = 42 g = 548 s = 57 Language /literature 37 = 534 3 = 45 37 = 517 s = 52 (a) Construct a 95% condence interval for the difference in average verbal scores of students majoring in engineering and of those majoring in language /1iterature. (b) Construct a 95% condence interval for the difference in average math scores of students majoring in engineering and of those majoring in language /literature. (c) Interpret the results obtained in parts (a) and (b). (d) What assumptions are necessary for the methods used previously to be valid