Question

17. (Table: Diets) 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: (1) the soy group, a low-calorie group that ate only soy-based proteins or (2) the traditional group, a low-calorie group that received two thirds of their protein from animal products and one third from plant products. One of the dependent measures collected was the amount of body fat loss as a percentage of initial body weight. Fictional data on the percent of body fat loss appear in the table. These data produce results similar to those of the 2007 study (note that a smaller n tharn that used in the study is presented for ease of calculation). Perform all six steps of the appropriate hypothesis test on this set of data. Traditional Diet 1.21 0.86 1.78 1.23 0.50 1.76 Soy Diet 2.5 2.5 2.0 3.2

Answer 1

er Given that An aslide fn the jousmal Appied Nutvitional Unveti fation vepested the vesaits otaepat son of Tesk :ㅻ냐.ua using two Sample £.kest Hyhesis est Noll Hypokhesis) atex nati ve' typo thegi also tauled. H This ib tuo tailed test. Sample Sample X3 )-223333 Sto. 5477230500666

is given. Levelソa:0.05 (1t no value カ(ance we take level ot o-o sìne leases vative Degle e人 of freedom: zdf Smalles o 炅 0:30ろ Test statistic, tobseved 9 3 1,92 3333 using tind, excel p-value-ak. Plt 기 3.5541 ue,

Note that some books Leach edchs test whese apPS。ximate. degsee's ot freedom 920318 5 Cri t i cal. value . 熹 2.571som t-table, one-tai to os, df-s been ta 36a

Rejection critera Rejection vegion s in dise tion of Alteo vative ha pothesis,sine. valentlg since p-voue ecision; since ltol toeuiv く。,,wereject the noti hypokhe si's. Hence at 5% signi tilance level,'ce, have sufficien evidence tconclude that The man of the o ocight loss sg ams is signiicantly diflesent e meayl o