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.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text: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.
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