Question

stratified random sampling question :

+ s2019/ 3. To estimate the total of the number of socio-democratic seats (SDS), y in a municipal council, the population was stratified into four strata using the total number seats in the municipal council. Some information about these strata is given in the following table. Population Sample Number of N. ΣνΗ seats 31-40 756 44 1,647 13,784 72.223 89 441 41-50 168 3.383 9,735 51 -70 56 1,545 617 44,529 24,137 250 8.294 71- .. 16 102 5,294 a. Allocate a total sample of size, n 40 using the proportional allocation. b. Estimate the total of socio-democratic seats for a stratified random sampling of selecting a confidence interval for the total. c. Estimate the total of socio-democratic seats if a simple random sampling scheme was used to select a sample of size, n 40. Construct a 95% interval for the total. sample of size, n 40. Construct a 95% d. Which of the two methods used in (b) and (c) is more efficient? Why? Inra

Answer 1

NO (0 Solition seats, ka opeation Symbolially has been pefosmecd in phaye manne h (say) phoses Then N NtN, +Nat - - -- + N N;i= ,2.8-.h) orugh Giardaid tchniaus . evaluation, ch hos been decidd The size ofsample in difosent stsada tphased opeabbn otiliation Cataa Sibe n n,tnt tnn -- -- Lntie3--h) Dn stsatifid sampling sampla Size os popotiora allootion Calibrotid ightb in poposed Hethod Estimation af WChri)Nny hee he nunben af yeas fox ch developmend poglamme ismplamatid steatun numben, i- 1,2,3--- h tatum numbus of benaticiasies in Ni - Sum af tota numbers af benetitiasies odjustiol or phose factor UitA psoduct Nay impalt population Stoatum

NO ( nilh-iN ni k(h-i 1)N; Sides both Summation Taking we get on Ni n KNuy pueting get Valua of K NOL (n Eajuxtion e gCh-i)N,/NAn ni 2 .. ECh-i+) INuy effiuunt Conpared b is Hose Hehod ab a-d not homogencus population is as Nethod