(Solved): Adults aged 18 years old and older were randomly selected for a survey on obesity. Adults are consid ...

Adults aped 15 years old ard older mere randomly ielected for a survey on otwyity. Aduli are conikered abeie it their bogy inass index (bM1) is at leate 30. The researchers wantest to defermine it the progortion of southern morten whe are obese is iess than the Nort: If pou we uning a 5 budentis t-distribution for the problem, including for poired datin, you mey assume that the underlying poqulation is normaly distributed. (In general, you mast fest prove that amsumption, though.) EPart $(a)$ Stive the nul hipethesit. B Part $?\mathbf{w}?$ Stue the ahernolive fypotenes. $\begin{array}{l}{\mathrm{H}}_2{\mathrm{Pe}}_{\mathrm{e}}+{\mathrm{Pb}}_{\mathrm{m}}\\ {\mathrm{H}}_2{\mathrm{O}}_2?\mathrm{P}\\ {\mathrm{HC}}_{\mathrm{r}}{\mathrm{H}}_{\mathrm{m}}{\mathrm{Fin}}^2\\ W_d{\mathrm{F}}_2\text{ If }\\ \text{ No Bew Pe }\end{array}$ Ei Fat (e) B Parta $F_n?P_m=7,9(\text{ Gid })$ C) Part tal decimal piaced. 7 a B) Bart ?? Whar in the ovate? (Round pou avieer to twur decimal places ? Expinis what the pwatie meavs tor the prokien. lest 0.005 mask $0.06+$ lest 6.005 momb oos Indeaate the eorrect deciaian ("reject" er "da nol reject" the mill hypothesis). the reasion for it, and write in appropriate nanclusion. (0) Apha (Enter an exact Number at an ineger, bactlon, or decinal.) ar $=$ (i) Besision: reject the rill hypothetis do not reject the nul bypothesis (iii) Reasen for decision. Since divalue $?a$, we do not recect the nut hybotiess. Snce jnvalue $\&q$, we lepect the nul fyporesis. Snce divalue 4 , we do not reject the nul fybothess. Since jnvalue 3 a, we leject the nul hypotesis. (ivi) Condusibe: Thece is sufficient evelence to suppont the claim that the propgetion of southern women who are okese in less than the preportion of southern ment who are obose Theie is foe sufficent evidence ta aupport the clam that the proporton of sodtrern woifen aho are obese is iess than the proporton of wouthern men who are obese: Part Leprain how you deteimined which deat ibution ho use. The f-distribution ins used because the samples are indepeodent and the poputaton atandand deviation in not krown. The f-distribution was used because the sarrgins are dependent. The standard nomal diatrection wat dised because the sarrples involve the dillerence in proportont. The standard hormal distreution was ysed becisue the samples are independent and fhe population standard deriston is known.