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. (Round your answer to two decimal places.)

Number of Sweet Drinks Consumed per Day	Overweight?
	Yes	No
0	22	930
1	73	2071
2	56	1681
3 or More	102	3387

χ² =  

P-value interval

p < 0.001

0.001 ≤ p < 0.01   

0.01 ≤ p < 0.05

0.05 ≤ p < 0.10

p ≥ 0.10

There is  ---Select--- sufficient evidence, not sufficient evidence to conclude that there is an association between whether or not children are overweight after one year and the number of sweet drinks they consume.

Answer 1

H0 : there is no association between the children are overweight after one year and the number of sweet drinks consumed

H1: there is association between the children are overweight after one year and the number of sweet drinks consumed

Let the los be alpha = 5%

The observed frequencies are

	Over Weight
	Yes	No	Total
0	22	930	952
1	73	2071	2144
2	56	1681	1737
3 or more	102	3387	3489
Total	253	8069	8322

P-Value: 0.3847

Correct answer: option (E) p ≥ 0.10

There is   not sufficient evidence to conclude that there is an association between children are overweight after one year and the number of sweet drinks they consume.

Test Statistic, X^2: 3.0450
Critical X^2: 7.814736
P-Value: 0.3847