You may need to use the appropriate technology to answer this question.MY NOTESThe College Board provided comparisons of Scholastic Aptitude Test (SAT) scores based on the highest level of education attained by the test takers parents. A research hypothesis wa that studentswhose parents had attainied a higher level of education would on average score higher on the SAT. The overal mean SAT math score was S14. SAT math scores for independent sampies 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 Grads469503442492550533s00478650526479425554410486485566531528390588578524535481448608485(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 I their parentsattained a higher level of education. (Let , - population mean verbal score of students whose parents are college oraduates with a bachelor's degree and = population mean verbal score afstudents whose parents are high school graduates but do not have a college degree.)H M -

Question

You may need to use the appropriate technology to answer this question.MY NOTESThe College Board provided comparisons of Scholastic Aptitude Test (SAT) scores based on the highest level of education attained by the test takers parents. A research hypothesis wa that studentswhose parents had attainied a higher level of education would on average score higher on the SAT. The overal mean SAT math score was S14. SAT math scores for independent sampies 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 Grads469503442492550533s00478650526479425554410486485566531528390588578524535481448608485(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 I their parentsattained a higher level of education. (Let , - population mean verbal score of students whose parents are college oraduates with a bachelor's degree and = population mean verbal score afstudents whose parents are high school graduates but do not have a college degree.)H M - <0 (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 Ftheir parentsattained a higher level of education. (Let w, population mean verbal score of students whose parents are college graduates with a bachelor's degree and a pooulstion mean vertal score ofstudents whose parents are Ngh school graduates but do not have a college degree.)Ha - 0Ho -0Ho - 0(b) What is the point estimate of the difference between the means for the two populations?(e) 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)pvalue-(d) At a 0.05, what is your conclusion?Reject H There is sufficient evidence to conclude that higher population mean verbal scores are associated with students whose parents are cotege graduatesDo not reject H There is insufficient evidence to conclude that higher population mean verbal scores are associated with students whose parents are college graduatesOReject Ha There is insufficient evidence to condude that higher population mean verbal scores are associated with students whose parents are college graduatesDo not Reject H There is sufficient evidence to conclude that higher population mean verbal scores are associated with students whose parents are colege graduates

Accepted Answer

a)
Null Hypothesis:
H0:μ1≤μ2
Alternative Hypothesis:
H1:μ1>μ2
Correct option: 2nd option.