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 city 1,
x = 22
n1 = 155
p1 = 22/155 = 0.14
For city 2,
x = 12
n2 = 135
p2 = 12/135 = 0.09
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 × √[0.14(1 - 0.14)/155 + 0.09(1 - 0.09)/135]
= 1.96 × √0.00138344086
= 0.073
Confidence interval = 0.12 - 0.09 ± 0.073
= 0.03 ± 0.073
C. Since the confidence interval does not include zero, there is evidence that the vacancy rates are different between the two cities.
Answer:
(0, 7 )
Step-by-step explanation:
Where the line crosses the y- axis the x- coordinate of the point is zero.
Substitute x = 0 into the equation and evaluate for y
y = - 3(0) + 7 = 0 + 7 = 7 ⇒ (0, 7 )
The domain is the input and the ramge is the output.
Domain = x Range = y
You cant say that the domain/range is ALL NUMBERS you can only say it is and x/y value.
Input = x. Output = y