Answer:
a) H0 : u = 28.5%
H1 : u < 28.5%
b) critical value = - 1.645
c) test statistic Z= - 1.41
d) Fail to reject H0
e) There is not enough evidence to support the professor's claim.
Step-by-step explanation:
Given:
P = 28.5% ≈ 0.285
X = 210
n = 800
Level of significance = 0.05
a) The null and alternative hypotheses are:
H0 : u = 28.5%
H1 : u < 28.5%
b) Given a 0.05 significance level.
This is a left tailed test.
The critical value =
The critical value = -1.645
c) Calculating the test statistic, we have:
Z = -1.41
d) Decision:
We fail to reject null hypothesis H0, since Z = -1.41 is not in the rejection region, <1.645
e) There is not enough evidence to support the professor's claim that the proportion of obese male teenagers decreased.
Answer:
1. So the porpotion should be 25/100 = x/120
You have this because you know that 25% of the dogs who go to ABC veterinarian need a rabies booster. So 100% of the dog should be 120 dogs, and now our job is to find how many dogs make up 25% percent of the total number.
According to our porpotion, we have:
(120 . 25)/100 = 30 (dogs)
Another way of understanding this is that you have to find 25% of the total amount, so just take that total number and multiply it with 25% or 25/100 which is 0.25 as well, that's why we multiply it with 25 first and then divide it to 100 later.
2.
*I guess there is no need of explaining it
0.9 × 550 = 495
Answer:
A) (√3-√2)/(√3+√2)
Step-by-step explanation:
i think so
Let me restate the given:
Diameter = 4 inches
height = 9 inches
The volume of a cone is formulated as V = (πr²h)/ 3
Since the formula uses a radius and the given is the diameter of a circle, then simply divide the diameter by 2 to get the radius.
r = 2 inches
Solve for volume of cone:
V = [ (3.14) (2)² (9) ] / 3
V = 37.7 in³
The answer is 37.70 in^3.
