Grades and AM/PM Section of Stats: There weretwo large sections of statistics this term at State College, an8:00 (AM) section and a 1:30 (PM) section. The final grades forboth sections are depicted in the contingency table below.
Observed Frequencies: Oi's
| | | | | | |
|   A  |   B  |   C  |   D  |   F  |   Totals  |
| AMÂ Â | 6 | Â Â 11Â Â | Â Â 19Â Â | Â Â 20Â Â | Â Â 15Â Â | Â Â 71Â Â |
| PMÂ Â | 19 | Â Â 19Â Â | Â Â 19Â Â | Â Â 13Â Â | Â Â 7Â Â | Â Â 77Â Â |
| Totals  |   25  |   30  |   38  |   33  |   22  |   148  |
The Test: Test for a significant dependentrelationship between grades and the section of the course. Conductthis test at the 0.05 significance level.
(a) What is the test statistic? Round your answer to 3decimal places.
χ2
=
(b) What is the conclusion regarding the null hypothesis?
reject H0fail to rejectH0Â Â Â Â
(c) Choose the appropriate concluding statement.
We have proven that grades and section of the course areindependent.
The evidence suggests that there is a significant dependentrelationship between grades and the section of thecourse.   Â
There is not enough evidence to conclude that there is asignificant dependent relationship between grades and the sectionof the course.
