Question

A high school offers math placement exams for incoming freshmen to place students into the appropriate math class during their freshman year. Three different middle schools were sampled and the following pass/fail results were found. Run a test for independence at the 0.10 level of significance. School A School B School C Pass 42 29 45

Answer 1

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

`H_0: Pass is independent of school\\H_a: Pass is dependent on the school`

(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.