Q Search this COL i The College Board provided comparisons of Scholastic Aptitude Test (SAT) scores based on the highest level of education attained by the test taker's parents. A research hypothesis was that students whose parents had attained a higher level of education would on average score higher on the SAT. The overall mean SAT math score was 514. SAT math scores for independent samples of students follow. The first sample shows the SAT math test scores for students whose parents are college graduates with a bachelor's degree. The second sample shows the SAT math test scores for students whose parents are high school graduates but do not have a college degree. Student's Parents College Grads High School Grads 528 432 480 468 592 608 480 492 544 544 468 456 528 576 420 456 544 624 576 576 464 624 552 396 544 464 656 640 their a. Formulate the hypotheses that can be used to determine whether the sample data support the hypothesis that students show a higher population mean math score on the SAT parents attained a higher level of education. #1 = population mean verbal score parents college grads. H2= population mean verbal score parents high school grads. Ho : F1 — H? | s - 0 Ha: H1-H2 -H4₂ > 0 b. What is the point estimate of the difference between the means for the two populations? (to 1 decimal) if parents are college grads. 72 points higher c. Compute the p-value for the hypothesis test. X 3.030 (to 3 decimals) t-value 26 (round your answer to next whole number) Degrees of freedom