2. Wage earners in a large firm are stratified into management and clerical classes, the first have 300 employees and the second 500 employees. To assess attitude on sick-leave policy, independent random samples of 100 workers were selected from each of the classes. After the sample data were collected, the responses were divided according to gender. In the table of results, a = Number who like the policy; b = Number who dislike the policy; and c = Number who have no opinion. Male Female Total Management N₁ = 300 a = 60 b=15 c=5 a = 10 b=7 c=3 n₁ =100 Clerical N₂ = 500 a = 24 b=4 c=2 a = 42 b=20 c=8 n₂ = 100 Total N = 800 100 90 n= 200 Find the estimate and the associated variance estimate for the population parameters in each of the following situation: a. Proportion of managers who like the policy. b. Proportion of clerical workers who like the policy. c. Proportion of wage earners who like the policy.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
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Question
Find the estimate and the associated variance estimate for the population
parameters in each of the following situation:
a. Proportion of managers who like the policy.
b. Proportion of clerical workers who like the policy.
c. Proportion of wage earners who like the policy.
2
d. Difference between the proportion of managers who like the policy and the
proportion of managers who dislike the policy.
Transcribed Image Text:Find the estimate and the associated variance estimate for the population parameters in each of the following situation: a. Proportion of managers who like the policy. b. Proportion of clerical workers who like the policy. c. Proportion of wage earners who like the policy. 2 d. Difference between the proportion of managers who like the policy and the proportion of managers who dislike the policy.
2. Wage earners in a large firm are stratified into management and clerical classes,
the first have 300 employees and the second 500 employees. To assess attitude
on sick-leave policy, independent random samples of 100 workers were selected
from each of the classes. After the sample data were collected, the responses
were divided according to gender. In the table of results, a = Number who like the
policy; b = Number who dislike the policy; and c = Number who have no opinion.
Male
Female
Total
Management
N₁ = 300
a = 60
b = 15
c=5
a = 10
b=7
c = 3
100
Clerical
N₂ = 500
= 24
b=4
c=2
a =
a =
:42
b = 20
c = 8
Total
N = 800
100
90
n = 200
n₁
n₂ = 100
Find the estimate and the associated variance estimate for the population
parameters in each of the following situation:
a. Proportion of managers who like the policy.
b. Proportion of clerical workers who like the policy.
c. Proportion of wage earners who like the policy.
Transcribed Image Text:2. Wage earners in a large firm are stratified into management and clerical classes, the first have 300 employees and the second 500 employees. To assess attitude on sick-leave policy, independent random samples of 100 workers were selected from each of the classes. After the sample data were collected, the responses were divided according to gender. In the table of results, a = Number who like the policy; b = Number who dislike the policy; and c = Number who have no opinion. Male Female Total Management N₁ = 300 a = 60 b = 15 c=5 a = 10 b=7 c = 3 100 Clerical N₂ = 500 = 24 b=4 c=2 a = a = :42 b = 20 c = 8 Total N = 800 100 90 n = 200 n₁ n₂ = 100 Find the estimate and the associated variance estimate for the population parameters in each of the following situation: a. Proportion of managers who like the policy. b. Proportion of clerical workers who like the policy. c. Proportion of wage earners who like the policy.
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