An article in the journal Applied Nutritional Investigation reported the results ofa 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= 3.1, 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= 1.9, s=0.45). If sM1-M2 = 0.24, s2 pooled = 0.25, n1 8, n2 = 10 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. %3D %3D %3D %3D
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- Is there a relationship between autism and what an infant is fed? To determine if there is, a researcher asked a random sample of mothers what they had fed their infant and they also recorded whether or not the child was autistic. Almost all brands of formula sold in the U.S. are now fortified with DHA (docosahexaenoic acid) and ARA (arachidonic acid). The data are in the table below. Do the data provide enough evidence to show that that what an infant is fed and autism are dependent? Test at the 1% level and round expected values to one decimal place. what an infant is fed yes (Observed) yes (Expected Value) no (Observed) no (Expected Value) Row Total breastmilk 6 422 428 formula with DHA/ARA 7 1156 1163 formula without DHA/ARA 15 525 540 Column Total 28 2103 2131 H: HypothesesHo:Ho:Select an answer whether or not a child has autism infant infants yes and Select an answer what an infant is fed infant infants no are Select an answer independent…The death rate per 100,000 for lung cancer is 7 among non-smokers and 71 among smokers. The death rate per 100,000 for coronary thrombosis is 422 among non-smokers and 599 among smokers. The prevalence of smoking in the population is 55%. The relative risk of dying for a smoker compared to a non-smoker is: [Refer to the chapter titled “Study Designs: Cohort Studies”] A. 9.1 for lung cancer and 0.30 for coronary thrombosis. B. 10.1 for lung cancer and 1.4 for coronary thrombosis. C. 10.1 for lung cancer and 8.4 for coronary thrombosis. D. 9.1 for lung cancer and 1.4 for coronary thrombosis. E. 12.4 for lung cancer and 1.7 for coronary thrombosis.Solid fats are more likely to raise blood cholesterol levels than liquid fats. Suppose a nutritionist analyzed the percentage of saturated fat for a sample of 6 brands of stick margarine (solid fat) and for a sample of 6 brands of liquid margarine and obtained the following results: Stick = [25.4,25.3,25.7,25.6,26.7,25.8] Liquid= [16.9,16.7,17.5,17.2,17.3,16.6] We want to determine if there a significant difference in the average amount of saturated fat in solid and liquid fats. What is the test statistic? (assume the population data is normally distributed) a) t = 34.743 b) t = 34.243 c) z = 34.743 d) z = 34.243 e) t = 23.065
- A sociologist wants to investigate the question, "Is there a relationship between texting during class and grade-point-average (GPA) among high school seniors in a large district?" Which study design is most appropriate? Before the semester starts, randomly select 40 seniors from each high school who do not text during class. Assign 20 to the texting treatment group (text three or more times during every class meeting) and 20 to the control group (no texting during class). At the end of the semester, obtain each student’s GPA from the appropriate admissions and records office. Compare the GPA of students who routinely text during class to the GPA of students who do not text during class. Before the semester starts, randomly select 40 seniors from each high school who do not text during class. Assign 20 to the texting treatment group (text three or more times during every class meeting) and 20 to the control group (no texting during class). At the end of the semester,…Carter et al investigated the effect of age at onset of bipolar disorder on the course of the illness. One of the variables studied was the subjects' family history. The table below shows the frequency of a family history of mood disorders in the two groups of interest: early age at onset (18years or younger) and later age at onset (later than 18 years old). Can we conclude on the basis of these data that subjects 18 or younger differ from subjects older than 18 with respect to family histories ofmood disorders? Ref: J Psychiatric Research 37(2003), 297-303.Recent research indicates that the effectiveness of antidepressant medication is directly related to the severity of the depression (Khan, Brodhead, Kolts & Brown, 2005). Based on pretreatment depression scores, patients were divided into four groups based on their level of depression. After receiving the antidepressant medication, depression scores were measured again and the amount of improvement was recorded for each patient. The following data are similar to the results of the study. LowModerate HighModerate ModeratelySevere Severe 0.5 2.7 3.4 2.6 1.7 0.8 2.6 5.3 3.3 1.9 1.1 4 2.6 1.4 4.3 2.6 1.4 2.9 3.6 4.6 3.1 3.2 4.8 1.4 From this table, conduct an one-way ANOVA. Calculate the F-ratio and p-value. Be sure to round your answers to three decimal places. Assume all population and ANOVA requirements are met.F-ratio: p-value:
- Recent research indicates that the effectiveness of antidepressant medication is directly related to the severity of the depression (Khan, Brodhead, Kolts & Brown, 2005). Based on pretreatment depression scores, patients were divided into four groups based on their level of depression. After receiving the antidepressant medication, depression scores were measured again and the amount of improvement was recorded for each patient. The following data are similar to the results of the study. LowModerate HighModerate ModeratelySevere Severe 2.4 0.2 2.5 3.5 1.6 1.7 2.7 4.3 2.7 3.4 2 3.4 0.5 1.2 5.2 5.1 2.4 2.3 4 3.5 1.8 0.3 4.1 3.8 From this table, conduct an one-way ANOVA. Calculate the F-ratio and p-value. Be sure to round your answers to three decimal places. Assume all population and ANOVA requirements are met.F-ratio: _____p-value: _____What is your final conclusion? Use a significance level of α=0.05. (Select one): There is sufficient evidence that…Recent research indicates that the effectiveness of antidepressant medication is directly related to the severity of the depression (Khan, Brodhead, Kolts & Brown, 2005). Based on pretreatment depression scores, patients were divided into four groups based on their level of depression. After receiving the antidepressant medication, depression scores were measured again and the amount of improvement was recorded for each patient. The following data are similar to the results of the study. LowModerate HighModerate ModeratelySevere Severe 0.3 1.2 2.2 1.8 3.8 1.7 1.4 2.8 3.2 0.4 0.6 2.6 2.3 1.2 1.6 2.6 2 3.2 1.6 2.2 0.6 1.2 1.6 1 2.7 1 2.2 0.6 1.4 1.6 3.3 2.7 2.2 2.9 3.7 2.6 0.9 0.7 3.4 3.1 2.6 1.7 0.8 1.8 2 1.4 1.6 4.1 1.7 0.9 3.3 2.3 1.6 1.1 3.5 1.4 3.5 1.9 0.4 4.2 1.5 2.3 2.2 2.9 1.4 2.2 2.7 2.8 2.1 1.9 1.9 3.9 1.5 2.7 0.8 1.5 1 3 2.1 3.7 1.5 0.9 2.4 1.9 2.7 3.2 0.8 2.7 2.2 2.9 1.8 1.2 2.4 1.7 3.2 1.3 2.2 2.4 1.1 1 2.6 2…Recent research indicates that the effectiveness of antidepressant medication is directly related to the severity of the depression (Khan, Brodhead, Kolts & Brown, 2005). Based on pretreatment depression scores, patients were divided into four groups based on their level of depression. After receiving the antidepressant medication, depression scores were measured again and the amount of improvement was recorded for each patient. The following data are similar to the results of the study. LowModerate HighModerate ModeratelySevere Severe 2.2 1.4 3.4 3.4 1.5 1.4 3.5 2.8 2.8 3.1 2.7 2.3 1.7 2.6 4.4 3.6 1.3 1.5 2.6 3.2 1.3 2.6 2.8 3.5 Fill in the summary table for the ANOVA test: degrees of freedom (d.f.) Sum of Squares (S.S.) Mean Square (M.S.) Between Within Total From this table, obtain the necessary statistics for the ANOVA:F-ratio (F-test statistic): p-value: η2η2 (Eta squared = Sum of squares betweenSum of squares totalSum…
- A researcher is interested in exploring the relationship between calcium intake and weight loss. Two different groups, each with 2828 dieters, are chosen for the study. Group A is required to follow a specific diet and exercise regimen, and also take a 500500-mg supplement of calcium each day. Group B is required to follow the same diet and exercise regimen, but with no supplemental calcium. After six months on the program, the members of Group A had lost a mean of 15.215.2 pounds with a standard deviation of 2.52.5 pounds. The members of Group B had lost a mean of 12.312.3 pounds with a standard deviation of 1.91.9 pounds during the same time period. Assume that the population variances are not the same. Construct a 95%95% confidence interval to estimate the true difference between the mean amounts of weight lost by dieters who supplement with calcium and those who do not. Let Population 1 be the amount of weight lost by Group A, who took a 500500-mg supplement of calcium each day,…An important issue is whether there are racial differences in hypertension among children. We define hypertension as being above the 95th percentile for either systolic blood pressure (SBP) or diastolic blood pressure (DBP) among children of the same age, height, and sex. Since some of the children were observed at multiple visits, a GEE model was run of hypertension on ethnic group. There were three ethnic groups considered: Caucasian, African American, and Hispanic. The results among boys are given in Table 13.54. TABLE 13.54 Relationship between hypertension and ethnic group among 27,009 boys in the Pediatric Task Force Data Variable Regression Coefficient SE Intercept -2.07 0.026 African American 0.049 0.041 Hispanic 0.328 0.059 What is the estimated OR for hypertension comparing Hispanic boys vs. Caucasian boys? (Call this OR1.) What is a 95% CI for this estimate?An important issue is whether there are racial differences in hypertension among children. We define hypertension as being above the 95th percentile for either systolic blood pressure (SBP) or diastolic blood pressure (DBP) among children of the same age, height, and sex. Since some of the children were observed at multiple visits, a GEE model was run of hypertension on ethnic group. There were three ethnic groups considered: Caucasian, African American, and Hispanic. One issue is that BMI, which may vary among ethnic groups, is positively related to hypertension. Hence, a logistic regression model was run, as shown in Table 13.55. 13.89 What is the estimated OR for hypertension comparing Hispanic boys vs. Caucasian boys based on the results in Table 13.55? (Call this OR2 .) Provide a 95% CI for this estimate. 13.90 Suppose the average BMI of Hispanic boys is higher than that for Caucasian boys. Is BMI a confounder of the association between ethnic group and hypertension? If so, is it…