Using the z-distribution, it is found that the 95% confidence interval is (0.46, 0.526), and it does not provide strong evidence against that belief.
<h3>What is a confidence interval of proportions?</h3>
A confidence interval of proportions is given by:
In which:
is the sample proportion.
In this problem, we have a 95% confidence level, hence
, z is the value of Z that has a p-value of 
, so the critical value is z = 1.96.
We have that a random sample of 864 births in a state included 426 boys, hence the parameters are given by:
Then, the bounds of the interval are given by:
The 95% confidence interval estimate of the proportion of boys in all births is (0.46, 0.526). Since the interval contains 0.506, it does not provide strong evidence against that belief.
More can be learned about the z-distribution at brainly.com/question/25890103
Answer:
The length of the arc is 1.0467
Step-by-step explanation:
First of all to solve this problem we need to use the circumferenc formula of a circle:
c = circumference
r = radius = 3
π = 3.14
c = 2π * r
we replace with the known values
c = 2 * 3.14 * 3
c = 18.84
The length of the circumference is 18.84
Now we have to divide the 20° by the 360° that a circle has, to know what part of the circle it represents
20° / 360° = 1/18
Now we multiply this fraction by the circumference and obtain the length of the arc
1/18 * 18.84 = 1.0467
The length of the arc is 1.0467
Answer:
D=5g/ml
Step-by-step explanation:
D=M/V
D=55/11
Answer:
its 4/5
Step-by-step explanation:
cube of four is 64 and cube of 5 is 125
what if multiple twenty times four it gives you twenty eight
