A particular paper described a study of children who were underweight or normal

Question

A particular paper described a study of children who were underweight or normal weight at age 2. Children in the sample were classified according to the number of sweet drinks consumed per day and whether or not the child was overweight one year after the study began. Is there evidence of an association between whether or not children are overweight after one year and the number of sweet drinks consumed? Assume that it is reasonable to regard the sample of children in this study as representative of 2 to 3 years old children and then test the appropriate hypotheses using a.05 significance level. X^2 = P-value interval p = 0.001 0.001 lessthanorequalto p

Explanation / Answer

This looks like a two way table. The number of sweets vs. yes or no.
Ho: Children are overweight after one year are not dependent on the number of sweet drinks consumed.
Ha: Children are overweight after one year are dependent on the number of sweet drinks consumed.

df = (4-1) (2-1)

Df = 3

Drinks
consumed
per day Yes. No. Total row
0. 22. 930 952
1. 73. 2071. 2144
2. 56. 1681 1737
3. 102 3386 3488

Total column: 253 8068. 8321

x^2 = (O-E)^2 / E O=Outcome E= Expected

I calculate the total column and row for you so you can make an expected table
The expected would ( row*column/Grand total)

The new number for the expected table at that place would be

(952*253/8321) = 28.94

After calculating all this
x^2 = 1.666 + .052 + .93 + .029 + .192 + .006 + .15 + .004

X^2= 3.04
Then look the chi-table for p value if t-stat is 3.04 with df of 3.

The p-value is greater than .25. This means fail to reject the null.
Children are overweight after one year are not dependent on the number of sweet drinks consumed

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