Answer:
Step-by-step explanation:
Given that a high school offers math placement exams for incoming freshmen to place students into the appropriate math class during their freshman year
Set up hypotheses as
[tex]H_0: Pass is independent of school\\H_a: Pass is dependent on the school[/tex]
(Two tailed chi square test for independence)
Contingency table is shows as below
School A B C Total
Pass 42 29 45 116
Expected 38.6667 38.6667 38.6667 116.0000667
(Obs-exp)^2/observed 0.2874 2.4167 1.0373 3.74138208
df 2
p value = 0.154
Since p > alpha(0.1) we accept null hypothesis
The pass numbers are independent of the school of study.