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Answer:
95% confidence interval for the proportion of the population which are on treatment is [0.3293 , 0.3607].
Step-by-step explanation:
We are given that during the 7th examination of the Offspring cohort in the Framing ham Heart Study, there were 1219 participants being treated for hypertension and 2,313 who were not on treatment.
The sample proportion is : = x/n = 1219/3532 = 0.345
Firstly, the pivotal quantity for 95% confidence interval for the proportion of the population is given by;
P.Q. = ~ N(0,1)
where, = sample proportion = 0.345
n = sample of participants = 3532
p = population proportion
<em>Here for constructing 95% confidence interval we have used One-sample z proportion statistics.</em>
So, 95% confidence interval for the population proportion, p is ;
P(-1.96 < N(0,1) < 1.96) = 0.95 {As the critical value of z at 2.5% level of
significance are -1.96 & 1.96}
P(-1.96 < < 1.96) = 0.95
P( <
<
) = 0.95
P( < p <
) = 0.95
<u>95% confidence interval for p</u>= [ ,
]
= [ ,
]
= [0.3293 , 0.3607]
Hence, 95% confidence interval for the proportion of the population which are on treatment is [0.3293 , 0.3607].
Answer:
5127079.21 cubic feet
Step-by-step explanation:
The silo is in the shape of a cylinder and a cone.
The volume of the silo will be the sum of the volumes of the cylinder and the cone.
Therefore, its volume is:
where r = radius of cylinder and cone
h = height of cylinder
H = height of cone
The radius of the base is 120 feet, the height of the roof (cone) is 25 feet. The height of the entire silo is 130 feet. This means that the height of the cylinder is:
130 - 25 = 105 feet
Therefore, the volume of the silo is:
The volume of the silo is 5127079.21 cubic feet.