%) 10.2.13 Is achieving a basic skill leel related to the location of the school

Question

%) 10.2.13 Is achieving a basic skill leel related to the location of the school? The results of a candom three subjects is showi in the contingency table Al a 0 05, test the hypothesis that the variables are r sample of students by the location of school and the number of students achieving banic skll les in (a) Identily the claim and state the null and alternative hypothese Ho Skill evel in a subject is independent of location Skull level in a subject is dependent on locatiorn The nul hypothesis b) Determine the degrees of treedom, find the oitical value, and identily the rejection region What are the degrees of freedom is the claim nter your answer in the answer box and then cck Check Aswer O ? ?@@?

Explanation / Answer

here degree of freedom =(rows-1)*(column-1) =(2-1)*(3-1) =2

for 2 df and 0.05 level critical value =5.991

applying chi square test:

test statistic =0.796

as test statistic is not higher than critical value we can not reject null hypothesis

Observed Oi reading math science Total urban 44 50 30 124 suburban 61 64 50 175 Total 105 114 80 299 Expected Ei=?row*?column/?total reading math science Total urban 43.5452 47.2776 33.1773 124 suburban 61.4548 66.7224 46.8227 175 Total 105 114 80 299 chi square =(Oi-Ei)2/Ei reading math science Total urban 0.0048 0.1568 0.3043 0.466 suburban 0.0034 0.1111 0.2156 0.330 Total 0.008 0.268 0.520 0.796

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