Answer:
Step-by-step explanation:
Confidence interval for the difference in the two proportions is written as
Difference in sample proportions ± margin of error
Sample proportion, p= x/n
Where x = number of success
n = number of samples
For the men,
x = 318
n1 = 520
p1 = 318/520 = 0.61
For the women
x = 379
n2 = 460
p2 = 379/460 = 0.82
Margin of error = z√[p1(1 - p1)/n1 + p2(1 - p2)/n2]
To determine the z score, we subtract the confidence level from 100% to get α
α = 1 - 0.95 = 0.05
α/2 = 0.05/2 = 0.025
This is the area in each tail. Since we want the area in the middle, it becomes
1 - 0.025 = 0.975
The z score corresponding to the area on the z table is 1.96. Thus, confidence level of 95% is 1.96
Margin of error = 1.96 × √[0.61(1 - 0.61)/520 + 0.82(1 - 0.82)/460]
= 1.96 × √0.0004575 + 0.00032086957)
= 0.055
Confidence interval = 0.61 - 0.82 ± 0.055
= - 0.21 ± 0.055
Answer:
The answer is $350
Step-by-step explanation:
00 = 8 hours
28/8 = 3.5
3.5(100) = 350
The worker would earn $350 in 28 hours
Answer:
-8748
Step-by-step explanation:
(6^2)(-3^5)
(6 x 6)(-3 x-3 x-3 x -3 x -3)
(36)(-243)
36 x -243
-8748
Answer:
complement
Step-by-step explanation:
The complement of a set is the set in the universal set that is not included in that set
The universal set contains all elements
For example
U = { 1, 2, 3, 4, 5, 6, }
A = {1, 3, 6}
(complement of A) A' = {2, 4, 5}
