Refer to the following contingency table comparing 2 teachers and the number of students receiving grades in the 70's, 80's, or 90's.
70's 80's 90's
teacher A 75 46 27
teacher B 52 63 39
A. What is the observed value for students scoring 80's in teacher B's class?
B. What is the expected value for students scoring 70's in teacher A's class?
C. What is the (O-E)2/E value for students scoring in the 90's in teacher A's class?
D. What is the (O-E)2/E value for students scoring in the 70's in teacher B's class?
E. What is the value of the test statistic?
F. Assuming α = 5%, what is the critical value for this independence test?
G. Assuming α = 5%, what is the conclusion to this independence test?
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