Essential Statistics for the Behavioral Sciences. Second Edition Chapter 10, #22: A clinical psychologist noticed that...

Essential Statistics for the Behavioral Sciences. Second Edition Chapter 10, #22: A clinical 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 obese patients to that of a "matched" normal-weight sibling. The calories consumed for each sibling pair are given in the table. Normal-Weight Sibling: 1600, 1800, 2100, 1800, 2400, 2800, 1900, 2300, 2000, and 2050. Overweight Sibling: 2000, 2400, 2000, 3000, 2400, 1900, 2600, 2450, 2000, and 1950. [a] Test whether or not obese patients consumed significantly more calories than their normal-weight siblings at a 0.05 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.

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[a] We have to test whether or not obese patients consumed significantly more calories than their normal-weight siblings at a 0.05 level of significance.The hypotheses will be

[b] The value of the test statistic is -1.0822 at 9 df and p-value is 0.8463 > 0.05 and we fail to reject the null hypothesis.

[b] Effect size using

[c] The results does not support the hypothesis, both the categories consume same calories.

NOTE:- Calculation are done in R. On R.H.S. is output and on L.H.S. is R code.

orchestra answered 9 months ago

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