Is achieving a basic skill level related to the location of the school? The resu

Question

Is achieving a basic skill level related to the location of the school? The results of a random sample of students by thecaReadinglMath Science location of school and the number of students achieving basic skill levels in three subjects is shown in the contingency table. At a 0.05, test the hypothesis that the variables are independent. Complete parts (a) through (d) (a) Identify the claim and state the null and alternative hypotheses. Ho: Skill level in a subject is Ha Skill level in a subject is The 49 49 41 Suburban 66 6168 location location is the claim.

Explanation / Answer

a)

Ho: is independent

Ha: is dependent

b)

df =(row-1)*(column-1)=(2-1)*(3-1)=2

critical value =5.991

rejection region : option C is correct

c)

applying chi square test of independence:

test statsitic =1.153

d)

option D i crrect

Observed OBS reading math science Total urban 49 49 41 139 suburban 66 61 68 195 Total 115 110 109 334 Expected Ei=?row*?column/?total reading math science Total urban 47.859 45.778 45.362 139 suburban 67.141 64.222 63.638 195 Total 115 110 109 334 chi square =(Oi-Ei)2/Ei reading math science Total urban 0.03 0.23 0.42 0.67 suburban 0.02 0.162 0.299 0.48 Total 0.05 0.39 0.72 1.153

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