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 seats 31 - 40 41 - 50 51 - 70 13,784 72,223 44,529 24,137 1,647 9,735 8,294 5,294 44 756 89 168 3,383 1,545 617 441 56 250 71 - 16 102 ... 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?

Evaluate

please answer (F) and also (L)

3. 01:26:35 The following two-way table shows the distribution of daily traffic and weather issues in a certain large city. Suppose a day from this city is selected at random. Let event A = heavy traffic and event B = bad weather. Are events A and B independent? Daily Traffic No, P(A) = P(B|A). Нeavy Traffic Light Traffic Total O No, P(A) + P(A|B). O Yes, P(A) = P(A|B). O Yes, P(A) + P(B|A). Bad Weather 25 30 Good Weather 55 15 75 Total 80 20 100 Weather Conditions