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 wasthat 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 forindependent 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 sampleshows the SAT math test scores for students whose parents are high school graduates but do not have a college degree.College GradsHigh School Grads469503442492550533580478666526479425570394486485566531528390556562524535513448608485(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 iftheir parents attained a higher level of education. (Let u, = population mean verbal score of students whose parents are college graduates with a bachelor's degree andu, = population mean verbal score of students whose parents are high school graduates but do not have a college degree.)O Ho: H1- H2 2 0O Ho: H1 - H2 = 0O Ho: H1- H2 <0 o Ho: H1-H220O Ho: H1- H2 = 0O Ho: H1-Hz<0H H- H2=D0O Ho: H1-Hz#0%3D(b) What is the point estimate of the difference between the means for the two populations?(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?O Do not Reject H There is sufficient evidence to conclude that higher population mean verbal scores are associated with students whose parents are college graduates.O Do not reject H There is insufficient evidence to conclude that higher population mean verbal scores are associated with students whose parents are college graduates.O Reject H. There is sufficient evidence to conclude that higher population mean verbal scores are associated with students whose parents are college graduates.O Reject Ho-There is insufficient evidence to conclude that higher population mean verbal scores are associated with students whose parents are college graduates.

Name: The College Board provided comparisons of Scholastic Aptitude Test (S
Uploaded: 2024-03-20T07:07:12.000Z
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Description: 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 wasthat students whose parents had attained a higher level of educati

From the given information, The first sample shows the SAT math test scores whose parents are…

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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. College Grads High School Grads 469 503 442 492 550 533 580 478 666 526 479 425 570 394 486 485 566 531 528 390 556 562 524 535 513 448 608 485