Answer:
CI 99% = ( 0,022 ; 0,126 )
Step-by-step explanation:
First sample
n₁ = 500
x₁ = 48
p₁ = x₁ / n₁ = 48 / 500 p₁ = 0,096 p₁ = 9,6 %
Second sample
n₂ = 400
x₂ = 68
p₂ = x₂ / n₂ = 68 / 400 p₂ = 0,17 p₂ = 17 %
CI = 99 % significance level α = 1 % α = 0,01
z(c) for α = 0,01 is from z- table z(c) = 2,325
CI = ( p₂ - p₁ ) ± z(c) *√ p*q* ( 1/n₁ + 1 / n₂ )
Where
p₂ - p₁ = 0,17 - 0,096 = 0,074
p = ( x₁ + x₂ ) / n₁ + n₂
p = ( 48 + 68 ) /( 500 + 400)
p = 116/ 900 p = 0,1288 and q = 1 - p q = 0,8712
z(c) *√ p*q* ( 1/n₁ + 1 / n₂ ) = 2,325 * √ 0,1288*0,8712 ( 1 / 500 + 1/ 400)
2,235 * 0,02247
z(c) *√ p*q* ( 1/n₁ + 1 / n₂ ) = 0,052
Then
CI 99 % = 0,074 ± 0,052
CI 99% = ( 0,022 ; 0,126 )
The difference between the groups shows that the proportion in the second group was bigger than in the first group.
The CI in the context of the problem is CI 99% = ( 0,022 ; 0,126 )
What will be the Solution of This problem?
Given first sample is
n₁ = 500
x₁ = 48
[tex]P_{1} =\dfrac{X_{1} }{n_{1} }[/tex] [tex]P_{1} =\dfrac{48}{500}[/tex]
p₁ = 0,096 p₁ = 9,6 %
Given second sample
n₂ = 400
x₂ = 68
[tex]P_{2} =\dfrac{X_{2} }{n_{2} }[/tex] [tex]P_{2} =\dfrac{68}{400}[/tex]
p₂ = 0,17 p₂ = 17 %
Since given CI = 99 % so significance level α = 1 % α = 0,01
From Z-Table z(c) for α= 0,01 is = 2,325
CI = [tex](P_{2} -P_{1}[/tex] ± [tex]Z(c)\sqrt[2]{p\times q} (\dfrac{1}{n_{1} } +\dfrac{1}{n_{2} } )[/tex]
Where
p₂ - p₁ = 0,17 - 0,096 = 0,074
[tex]P= \dfrac{X_{1} +X_{2} }{n_{1}+n_{2} }[/tex]
[tex]P=\dfrac{48+68}{500+400}[/tex]
[tex]P=\dfrac{116}{900}[/tex]
p = 0,1288 and q = 1 - p q = 0,8712
[tex]Z(c)\sqrt[2]{p\times q} (\dfrac{1}{n_{1} } +\dfrac{1}{n_{2} } )[/tex] [tex]2325\times\sqrt[2]{0.1288\times 0.8712} (\dfrac{1}{500_{} } +\dfrac{1}{400_{} } )[/tex]
[tex]Z(c)\sqrt[2]{p\times q} (\dfrac{1}{n_{1} } +\dfrac{1}{n_{2} } )=0.052[/tex]
Then
CI 99 % = 0,074 ± 0,052
CI 99% = ( 0,022 ; 0,126 )
Hence the difference between the groups shows that the proportion in the second group was bigger than in the first group.
To know more about Chi square follow
https://brainly.com/question/4543358
Need help don’t understand thank you
Answer:
1: mean equals 17.417, median is 12.75, mode is 8.2, range is 33, the minimum is 8.2 the maximum is 41.2. The IQR is 16.55, the quartiles is q1: 8.95, q2: 12.75, q3 is 25.5, there are no outliers.
2: the best middle is 12.75 because the median is usually the middle number but if you orgainze the numbers there will be two but you will end up getting 12.75 as your median. take the two middle number add together then divide by 2 then that is your answer.
Step-by-step explanation:
GOOD LUCK
the y coordinate is 7 more than the x coordinate
Answer:
if you have the value of x then y =x +7
Which expression is equivalent to this: "3 multiplied by z"?
Answer:
3z
Step-by-step explanation:
When you write a number followed by a variable with no operation in between them, it means multiplication.
3 multiplied by z is 3 * z, but you can write it without the multiplication sign simply as 3z.
Find the value of x in the triangle shown below.
a. x=21
b. x=42
c. x= 15
d. x=21
Answer:
Answer:
[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{➔}\ [/tex]
by using Pythagoras law:
h²=p²+b²
x²=9²+12²
x=√225=15unit
Find the x- and y-intercepts of the parabola y=−x2+4x−4.
Answer:
Hope This Helps!
Step-by-step explanation:
a stereo system cost $4,800. It depreciates 12% a year. How much is the system worth after 2 years?
Answer:
$3717.12
Step-by-step explanation:
The depreciation per year is 100% - 12% = 88% = 0.88
value after 2 years = $4800 ( 0.88)² = $3717.12
Step-by-step explanation:
3717.21$ is the system worth after 2 years
Then k =
Answer and I will give you brainiliest
find the length of the missing side.
Answer:
I believe it is 12
Step-by-step explanation:
but I am not 100 percent sure
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer: #1 is the answer. Alternate exterior angles are the pair of angles that lie on the outer side of the two parallel lines but on either side of the transversal line. Notice how the pairs of alternating exterior angles lie on opposite sides of the transversal but outside the two parallel lines.
Step-by-step explanation: Parallel Lines: Definition: We say that two lines (on the same plane) are parallel to each other if they never intersect each other, ragardless of how far they are extended on either side. Pictorially, parallel lines run along each other like the tracks of a train.
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
∠RQO and ∠STV
∠PQO and ∠UTV
Step-by-step explanation:
Adams watches a movie that is 2 hours 15 minutes long how many minutes is the time
Answer:
135 minutes
Step-by-step explanation:
Answer:
135 minutes
Step-by-step explanation:
1 hour= 60 minutes
2hours=60x2=120 minutes
120+15=135 minutes
plz mark me as brainliest.
Given that £1 = $1.62
b)
a) How much is £650 in $?
b) How much is $405 in £?
Answer:
A) £650 = $1053
B) $405 = £250
Step-by-step explanation:
For a) Since £1 is equal to $1.62 you would just do £650 times 1.62 to get $1053
For b) Since £1 is equal to $1.62 you would do $405 divided by 1.62 to get £250
Last year Jacob’s total
Answer:
the answer is $ 83,634
your welcome
Can someone please help me?
Answer:
D
Step-by-step explanation:
This is a pythagoream thereom question, the area of a square can be found by multiplying the sides. All the sides of a sqaure are the same so we are basically sqauring the side lengths. That is where the [tex]BE^{2}[/tex] and [tex]BH^{2}[/tex] come from. The problem tells us that the area of the two small squares are equal to the one bigger square. And the area of the bigger sqaure can be found by squaring that side EH. So [tex]BE^{2}[/tex]+[tex]BH^{2} =EH^{2}[/tex].
Amy and Sara's ages are consecutive even integers. The product of their ages is 528. If Sara is
younger, how old is Amy?
Write an equation that can be used to find their ages.
Answer:
24
Step-by-step explanation:
Sara = x age
Amy = x+2 when Sara x = 22 Amy is x + 2 = 24
Product of ages = 528 so............
x(x+2) = 528
x² + 2x - 528 = 0 solve for x I did it graphically first to get x = -24, 22
(x+24) (x-22) = 0
(x+24) = 0 (x-22) = 0
x = -24 x = 22 since you really can't have a negative age
A single 6-sided die is rolled. Which BEST describes the probability of rolling a number 4 or less? 1) A ) impossible B) unlikely likely certains
Answer:
it is likely because the majority of the outcomes are in your favor
Answer:
A
Step-by-step explanation:
Impossible, did it on usatestprep
Ruslan's figure has a length of 5cm, a width of 3cm, and a height of 4cm. What is the volume of Ruslan's figure?
Answer:
The colume of Ruslan's figure is 60 cubic centimeters.
Step-by-step explanation:
To find the volume of something, you have to multiply the length by the width, and then multiply that to the height. So you would multiply 5 and 3 to get 15, and then you would multiply 15 and 4 to which then you would get your answer of 60 cubic centimeters.
Answer:
60cm³ is your answer
Step-by-step explanation:
volume of cuboid =l×b×h=5×3×4=60cm³
after a car traveled 70 miles from its starting point the was still at least 500 miles from the end of the trip which inequality represents the total distance t of the trip from the starting point to the end
Answer:
The answer to this inequality is 70<x<500
Answer:
t ≥ 570
Step-by-step explanation:
help plz plz plz ill give brain
Step by step please
Please
Answer:
137/1000
Step-by-step explanation:
Because we have 3 numbers after 0....
hope it helps
If Houston is six hours behind London, what time would it be in Houston if it were 9 p.m. in London?
Answer:
3:00 p.m. in Houston.
Step-by-step explanation:
three times one number minus a second is 8 and the sum of the number is 12
Answer:
one number is 2
second number if 3 1/3
Step-by-step explanation:
a = one number
b = second number
3a - b = 8
3a + b = 12
add together:
6a = 20
a = 20/6 or 10/3
find 'b':
3(10/3) - b = 8
10 - b = 8
-b = -2
b = 2
Use the distributive property to remove the parentheses (-4+3x+3v)(-2)
Answer:
your final answer would be −6v−6x+8
Step-by-step explanation:
(−4+3x+3v)(−2)
=(−4)(−2)+(3x)(−2)+(3v)(−2) group like terms together
=8−6x−6v combine like terms
= -6v-6x+8 put in standerd form
Answer:
-(-4+3x+3v)2
Step-by-step explanation:
1.) (-4+3x+3v)(-2) = -2(-4+3x+3v)
2.) (-4+3x+3v)
Remove parentheses: (-a) = -a
Answer: -(-4+3x+3v)2
What’s the correct answer for this question?
Write a fraction and a percent to represent the shaded portion of the model.
Fraction:
Percent:
Answer:
Fraction:[tex]\frac{5}{9}[/tex]
Percent: to the nearest percent 56% or 55.5555555556%
Step-by-step explanation:
There are nine total parts and 5 of those parts are shaded
You would divide 5 by 9 to get the percent then multiply it by 100
Answer:
5/9
or
45%
Step-by-step explanation:
You are comparing cell phone plans at two cell phone companies. The probability that you buy a plan from company A is 0.2. The probability that you buy a plan from company B is 0.4. Assuming these events are mutually exclusive, what is the probability that you buy a plan from company A or company B?
A. 0
B. 0.16
C. 0.2
D. 0.6
Answer:
the answer for this question is option 0.16
LCM of (2^3×3×5) and (3×5) is
Answer:
120
Step-by-step explanation:
LCM of (2^3×3×5) and (3×5) is
The LCM of the expression will be the product of all the factors that are in both expressions
(2^3×3×5) = 2 * 2 * 2 * 3 * 5
(3 * 5) = 3 * 5
since 3 * 5 is common to both factors, we will not have to repeat it twice to get our LCM again. Hence the LCM is expressed as;
LCM = 2 * 2 * 2 * 3 * 5
LCM = 8 * 3 *5
LCM = 24 * 5
LCM = 120
Hence the required LCM is 120
The relationship below is proportional true or false
Answer:
false.........
Step-by-step explanation:
......
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
hope this helps (if it does can i have brainliest, please??)
Step-by-step explanation:
I believe that is <KLJ and <MLJ
Answer:
KLJ and MLJ
Step-by-step explanation:
Supplemenatry angles add up to 180 degrees. Since these two angles form a straight line, it can be assumed that they add up to 180 degrees. Hope it helps :)
I am left with 0 points lol
this my last one
1+2=???
brainliest for first to answer
Answer: it is 3
Step-by-step explanation: