The following data related to the number of children classified according to the type of feeding and nature of teeth.

Type of feed Nature of teeth

Normal Defective

Breast 18 12

Bottle 2 13

Do the information provide sufficient evidence to conclude that type of feeding and nature of teeth are dependent? Use chi square test at 5% level of significance.

Question

The following data related to the number of children classified according to the type of feeding and nature of teeth.

Type of feed Nature of teeth

Normal Defective

Breast 18 12

Bottle 2 13

Do the information provide sufficient evidence to conclude that type of feeding and nature of teeth are dependent? Use chi square test at 5% level of significance.

Suresh Chand · Accepted Answer

Problem to test H0 : Type of feeding and nature of teeth are independent H1 : Type of feeding and nature of teeth are dependent Type of feed Nature of Teeth Normal Defective Total Breast a=18 b=12 a+b=30 Bottle c=2 d=13 c+d=15 Total a+c=20 b+d=25 N=45 Test statistics X2 = (frac{N(|ad - bc| - frac{N}{2})^2}{(a+c)(b+d)(a+b)(c+d)}) = (frac{45(|18 x 13 - 12 x 2| - frac{45}{2})^2}{20 x 25 x 30 x 25}) = 7.031 Critical Value At α = 0.05 level of significance critical value is X2α(1) = 3.84 Decision X2 = 7.031 > X20.01(1) = 3.84 Reject H0 at 0.05 level of significance Conclusion Type of feeding and nature of teeth are dependent

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Type of feed	Nature of teeth
	Normal	Defective
Breast	18	12
Bottle	2	13

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