4. A sample survey was conducted to estimate the population proportion p that has a certain characteristic. Stratified simple random sampling was used. The results are given below. Stratum Stratum Size Sample Size Pi 1 100 50 0.80 2 60 20 0.70 3 150 75 0.60 4 80 20 0.50 a) b) Find an estimate and a 95% confidence interval for the population proportion p and interpret the meaning of the confidence interval. For a future survey, stratum sample sizes are to be recalulated to estimate p to within 0.1 using an appropriate allocation method. What allocation method would you use if unit costs are given as c₁ = 4, c₂ = 2, c₁ = 5, c = 1? Why? Calculate the stratum sample sizes using the allocation you have chosen.

4. A sample survey was conducted to estimate the population proportion p that has a certain characteristic. Stratified simple random sampling was used. The results are given below. Stratum Stratum Size Sample Size Pi 1 100 50 0.80 2 60 20 0.70 3 150 75 0.60 4 80 20 0.50 a) b) Find an estimate and a 95% confidence interval for the population proportion p and interpret the meaning of the confidence interval. For a future survey, stratum sample sizes are to be recalulated to estimate p to within 0.1 using an appropriate allocation method. What allocation method would you use if unit costs are given as c₁ = 4, c₂ = 2, c₁ = 5, c = 1? Why? Calculate the stratum sample sizes using the allocation you have chosen.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 13PPS

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