(c) Find the value of the test statistic. (Round your answer to three decimal places.)Compute the p-value for the hypothesis test. (Round your answer to four decimal places.)p-value =(d) At a = 0.05, what is your conclusion?Do not reject Ho: There is insufficient evidence to conclude that higher population mean math scores are associated with students whose parents are college graduates.Do not Reject Ho. There is sufficient evidence to conclude that higher population mean math scores are associated with students whose parents are college graduates.Reject Ho. There is sufficient evidence to conclude that higher population mean math scores are associated with students whose parents are college graduates.Reject Ho. There is insufficient evidence to conclude that higher population mean math scores are associated with students whose parents are college graduates.O O O 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 reseeypwhose 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 studentsfollow. 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 studentswhose parents are high school graduates but do not have a college degree.College GradsHigh School Grads501471442492518549580478650526479425570426486485550499528390588594524535513432592485(a) Formulate the hypotheses that can be useddetermine whether the sample data support the hypothesis that students show a higher population mean math score on the SAT if their parentsattained a higher level of education. (Let u,population mean math score of students whose parents are college graduates with a bachelor's degree and u, = population mean math score ofstudents whose parents are high school graduates but do not have a college degree.) For purposes of this study, assume the population variances are unequal when conducting the t-test.Ho: H1 - H2Ha: H1 - H2 # 0= 0Hoi M1- Hz *Ha: H1 - H2 = 0%3DHo: H1 - 422 0Ha: H1 - 42 < 0Hoi Hy- Hz 0(b) What is the point estimate of the difference between the means for the two populations?

Name: (c) Find the value of the test statistic. (Round your answer to three
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Description: (c) Find the value of the test statistic. (Round your answer to three decimal places.)Compute the p-value for the hypothesis test. (Round your answer to four decimal places.)p-value =(d) At a = 0.05, what is your conclusion?Do not reject Ho: There i