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Researchers wanted to know if obese parents were more likely to have obese child

ID: 3226427 • Letter: R

Question

Researchers wanted to know if obese parents were more likely to have obese children than were parents of normal weight (Fiore et al., 2006). Obesity was defined as being above the 85th percentile on the body-mass index. A total of 1890 families were contacted with children ranging in age from 12 to 16. For this example, assume the following data (modeled after the Fiore study):

For this example, assume the following data (modeled after the Fiore study):

              Neither                    One                     Both

             Parent Obese    Parent Obese           Parents Obese

Child

Obese           183                     240                      378

Not Obese 447                      390                      252

Find the correlation between parental obesity and childhood obesity.

Chi Square = ______________

p < or > .05 or .01? ______

df = ______

Correlation, C = __________

Write a sentence explaining the results.

Explanation / Answer

DF = (r - 1) * (c - 1) = (2 - 1) * (3 - 1) = 2

Er,c = (nr * nc) / n
E1,1 = (801 * 630) / 1890 = 267
E1,2 = (801 * 630) / 1890= 267
E1,3 = (801 * 630) / 1890 = 267
E2,1 = (1089 * 630) / 1890 = 363
E2,2 = (1089 * 630) / 1890 = 363
E2,3 = (1089 * 630) / 1890 = 363

Chi-square = (267-183)^2/267 + (267-240)^2/267 + (267-378)^2/267 + (363-447)^2/367 + (363-390)^2/367 + (363-252)^2/367 = 130.09

Chi Square = 130.09

P(2 > 130.09) for df = 2 is near to zero.

p < 0.01

df = 2

C = sqrt(Chi-Square/N(k-1)) = sqrt(130.09/6*(2-1)) = 4.656

Since the P-value is less than the significance level (0.05), we cannot accept the null hypothesis. Thus, we conclude that there is a relationship between obesity in children and voting obesity in parents.

Neither Parent Obese One Parent Obese Both Parents Obese Total Child Obese 183 240 378 801 Not Obese 447 390 252 1089 Total 630 630 630 1890
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