Question

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(9 points) Education. Post-secondary educational institutions in the United States (trade schools, colleges, universities, etc.) traditionally offer four different types of degrees or certificates. The U.S. Department of Education recorded the highest degree granted by each of these institutions in the year 2003. The percentages are shown in the table below. A random sample of 225 institutions was taken in 2013 and the number of institutions in the sample for each category is also shown in the table. Conduct a hypothesis test to determine whether there has been any change from the percentages reported in 2003. Round all calculated values to four decimal places. Highest Degree Awarded Population percentages in 2003 Sample counts in 2013 Certificate Associates Bachelor's Graduate 35.0% 26.6% 11.3% 271% 80 54 28 63 a. Enter the expected values for the hypothesis test in the table below Highest Degree Awar Expected value Bachelor's Graduate b. Calculate the test statistic for this hypothesis test C. Calculate the degrees of freedom for this hypothesis test. d. Calculate the p-value for this hypothesis test. p-value e. What is your condlusion using a 0.1? A. Do not reject Ho B. Reject Ho

Answer 1

抑, Giye that lighest Degree popm sample Countk Auande d centiFicate Associate 30 Che lor S CYadyate 2003 in 2013 Cop) 35% 3. 2 8 N 225 o) To test hypothesis, expected vole highest deg centi cate ASS ociate§ Bacelors Graduate EApeched value Gi) 225x o.35 78.75 -225 0.266-ち9.85 , 225A 0-1, 3 25, 425 225 X 0-2 i 「60.915 N225

b) Test statistic (80-78.15)t(54-59.35)+(98-25 05) + (63-6 75) 3 60975 Go 75 78.15 59.85 25.425 0 0613 XCalo.qi97 c) degrees of (eedom- = P[13.0.9197] from Chi- Sque tabl p-value= 0.820671 e) ee R-value-0.S7D6T7 0-05 option Do not Reject Ho