5. An article in the journal Applied Nutritional Investigation reported the resu

Question

5. An article in the journal Applied Nutritional Investigation reported the results of a comparison of two different weight-loss programs (Liao, 2007). In the study, obese participants were randomly assigned to one of two groups and the percent of body fat loss was recorded. The soy group, a low-calorie group that ate only soy-based proteins (M-2.30, s-0.55), while the traditional group, a low-calorie group that received 2/3 of their protein from animal products and 1/3 from plant products (M= 1.22, s=0.50). If SMI-M2 0.3, s pooled0.275, nsoy 6, Draditional 6 is there a difference between the two diets. Use alpha of.05 and a two-tailed test to complete the 4 steps of hypothesis testing

Explanation / Answer

Step 1:

Hypothesis Testing

H0 : Low calorie group containing soy based proteins has equal weight reduction as low calorie group contains from animal products and plant products.

Ha : Low calorie group containing soy based proteins has difference in weight reduction as low calorie group contains from animal products and plant products.

Step :2

significance level = 0.05

Step 3 :Test statistc

Here,

s2pooled = 0.275

sm1 -m2 = 0.3

Here as we will use the pooled standard deviation because groups are randomly assigned and not paired group.

Test statistic

t = (M1 - M2)/sqrt [sp2 (1/n1 + 1/n2)] = (2.30 - 1.22)/ sqrt [0.275 * (1/6 + 1/6)] = 1.08/0.302765 = 3.567

for alpha = 0.05 and dF = 5 + 5 = 10

tcritical = 2.228

here,

t >tcritical so we would reject the null hypothesis and can conclude that there is significant difference between Low calorie group containing soy based proteins and low calorie group contains from animal products and plant products.

Related Questions

Navigate

• Browse (All)
• Browse 5
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.