Question

9. Grades and AM/PM Section of Stats: There were two large sections of statistics this term at State College, an 8:00 (AM) section and a 1:30 (PM) section. The final grades for both sections are summarized in the contingency table below. Observed Frequencies: Oi's A B C D F Totals AM 6 11 17 20 18 72 PM 19 19 17 13 8 76 Totals 25 30 34 33 26 148 The Test: Test for a significant dependent relationship between grades and the section of the course. Conduct this test at the 0.05 significance level. (a) What is the null hypothesis for this test? H0: The section (AM/PM) of a course and the grades are dependent variables. H0: The section (AM/PM) of a course and the grades are independent variables. (b) What is the value of the test statistic? Round to 3 decimal places unless your software automatically rounds to 2 decimal places. χ2 = (c) Use software to get the P-value of the test statistic. Round to 4 decimal places unless your software automatically rounds to 3 decimal places. P-value = (d) What is the conclusion regarding the null hypothesis? reject H0 fail to reject H0 (e) Choose the appropriate concluding statement. We have proven that grades and section of the course are independent. The evidence suggests that there is a significant dependent relationship between grades and the section of the course. There is not enough evidence to conclude that there is a significant dependent relationship between grades and the section of the

Answer 1