Question

PEARSON R CORRELATION

The director of an obesity clinic in a large southwestern city believes that drinking soft drinks contributes to obesity in children. To determine whether a relationship exists between these two variables, she conducts the following study. Fifteen 12-year-old volunteers are randomly selected from the local junior high. Parents are asked to monitor and record the number of soft drinks consumed by their child over a one-week period. The children were weighed at the end of the week and their weight was turned into their BMI (Body Mass Index) Score. BMI is used to measure obesity and takes into account both weight and height. The following data was collected:

No of Soft Drinks Consumed           BMI
   X Y

   3    20
   1 18
   14    32
    7 24
   21 35
   5 19
   25    38
   9 30
   10 30
   6    20
   0    18
   2    25
   7    22
   12                31
    8 28

Please state your null hypothesis and alternative hypothesis, both as an equation and in your own words. After you run the data through SPSS, please write up the results in the correct APA style.

Ho: We found no significant difference correlation
H1: We found a significant difference correlation
we found a significant difference correlation

Answer 1

Null and Alternative hypotheses : ( as an equation)

From SPSS , we got

Since, p-value (sig.(2 tailed) is 0.000 which is less than any standard level of significances (say 0.01, 0.05 etc). So we reject , the null hypothesis.

Hence,

the number of soft drinks consumed by children and their corresponding BMI are correlated to each other significantly , t ( 13) = 7.863 , p ( 0.000) < 0.01 . The sample data supports the claim .