The investigator is interested in estimating the total number of female workers who dislike th policy in Shayandima industrial area. The workers are then stratified into two strata, the firs having 300 and the second having 500 employees. To assess attitude on sick-leave policy independent random samples of 100 workers each are selected. After the sample data wer collected, the responses were divided according to gender. The results are summarised in Tabl 1 where, a = Number of workers who like the policy, b =Number of workers who dislike th policy and c = those workers who have no opinion on the policy. Table 1: Summary statistics Stratum 1 N₁ = 300 m = 100 Male: a=60,b=15, c=5 Female: a = 10,b=7,c=3 Stratum 2 N₂ = 500 m = 100 Male: a=24, b=4, c = 2 Female: a = 42,b=20,c=8 a) Estimate the total number of female workers who dislike the policy. b) Estimate the variance of the estimator in part a). c) Place a confidence limits of the estimator in part a) and interpret the results.

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The investigator is interested in estimating the total number of female workers who dislike the
policy in Shayandima industrial area. The workers are then stratified into two strata, the first
having 300 and the second having 500 employees. To assess attitude on sick-leave policy,
independent random samples of 100 workers each are selected. After the sample data were
collected, the responses were divided according to gender. The results are summarised in Table
1 where, a = Number of workers who like the policy, b = Number of workers who dislike the
policy and c = those workers who have no opinion on the policy.
Table 1: Summary statistics
Stratum 1
N₁ = 300
m = 100
Male: a = 60,b=15, c=5
Female: a = 10,b=7,c=3
Stratum 2
N₂ = 500
m = 100
Male: a = 24, b=4, c = 2
Female: a = 42, b =20, c =8
a) Estimate the total number of female workers who dislike the policy.
b) Estimate the variance of the estimator in part a).
c) Place a confidence limits of the estimator in part a) and interpret the results.
Transcribed Image Text:The investigator is interested in estimating the total number of female workers who dislike the policy in Shayandima industrial area. The workers are then stratified into two strata, the first having 300 and the second having 500 employees. To assess attitude on sick-leave policy, independent random samples of 100 workers each are selected. After the sample data were collected, the responses were divided according to gender. The results are summarised in Table 1 where, a = Number of workers who like the policy, b = Number of workers who dislike the policy and c = those workers who have no opinion on the policy. Table 1: Summary statistics Stratum 1 N₁ = 300 m = 100 Male: a = 60,b=15, c=5 Female: a = 10,b=7,c=3 Stratum 2 N₂ = 500 m = 100 Male: a = 24, b=4, c = 2 Female: a = 42, b =20, c =8 a) Estimate the total number of female workers who dislike the policy. b) Estimate the variance of the estimator in part a). c) Place a confidence limits of the estimator in part a) and interpret the results.
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