The confidence interval is
.
This means that if we take repeated samples, 99% of the intervals would contain the population proportion.
To construct this interval, we use
,
where
Since 590/1016 said they had a cat and a dog, p=0.581 and N=1016:
We need the z-score associated with this confidence level:
Convert 99% to a decimal: 99/100 = 0.99
Subtract from 1: 1-0.95 = 0.01
Divide by 2: 0.01/2 = 0.005
Subtract from 1: 1-0.005 = 0.995
Using a z-table, we see that this value is equally distant from z=2.57 and z=2.58, so we will use z=2.575:
32.4 is what is deducted from his paycheck because 18% of 180 is 32.4<span />
Answer:
x^2 + y^2 = 25
Step-by-step explanation:
The standard form of a circle equation is:
(x - h)^2 + (y - k)^2 = r^2
where (h, k) is the center and r is the radius.
We can see that the center is (0, 0) by looking at the graph, and the radius is 5 because it is marked. Plugging these in we get:
x^2 + y^2 = 25