Question

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 depicted in the contingency table below.

Observed Frequencies: O_i's

	A	B	C	D	F	Totals
AM	6	12	18	19	16	71
PM	19	21	18	12	7	77
Totals	25	33	36	31	23	148

The Test: Test for a significant dependent relationship between grades and the section of the course. Conduct this test at the 0.01 significance level.

(a) What is the test statistic? Round your answer to 3 decimal places.

χ²

=

(b) What is the conclusion regarding the null hypothesis?

reject H₀fail to reject H₀    

(c) 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 course.

Answer 1

The statistic software output for this problem is:

(a)

Test statistics = 14.097

(b)

fail to reject H₀    

There is not enough evidence to conclude that there is a significant dependent relationship between grades and the section of the course.