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....

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please include all the step. dont use excel thank you.

Extracted text: 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 seats Σν k-1 31 - 40 41 - 50 51 - 70 71 - ... 44 756 13,784 72,223 44,529 24,137 89 1,647 9,735 8,294 5,294 168 3,383 441 1,545 617 56 250 102 16 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 sample of size, n = 40. Construct a 95% 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. d. Which of the two methods used in (b) and (c) is more efficient? Why?