Question: A health psychologist noticed that the siblings of his obese patients are often not overweight. He hypothesized that the normal-weight siblings consume fewer daily calories than the obese patients. To test this using a matched-pairs design, he compared the daily caloric intake of 20 obese patients to that of a respective normal-weight sibling. The following are the calories consumed for each sibling pair.
(a) Test whether or not obese patients consumed significantly more calories than their normal-weight siblings at a .05 level of significance. State the value of the test statistic and the decision to retain or reject the null hypothesis.
(b) Compute effect size using omega-squared.
(c) Did the results support the researcher's hypothesis? Explain.