For statictics of Out of 780 smokers, 376 have been divorced, Non-smokers: Out of 2855 non-smokers, 902 have been divorced, the 95% confidence interval for smokers and non-smokers is mathematically given as
95% confidence interval = (0.5352, 0.4462)95% confidence interval = (0.3424, 0.2894)53% increased risk of divorce for smokers.What is the 95% confidence interval for smokers and non-smokers?Generally, the equation for the Confidence interval is mathematically given as
p ± Z/2[p(1-p)]/n
Where
Z1/2=1-(0.05/2)
Z1/2=0.975
Read z table we have
Z score= 1.96
Hence
0.4907 ± 1.96 (0.4907)(1-0.4907)/485
0.4907±0.0445
Therefore
95% confidence interval = (0.5352, 0.4462)
b)
Z1/2 = 1- (0.05/2)
Z1/2 = 0.975
Z score= 1.96
0.3159 ± 1.96 (0.3159)(1-0.3159)/1184
0.3159±0.0265
Thereofore
95% confidence interval = (0.3424, 0.2894)
c)
In conclusion, The 95% confidence interval helps us read that 53% increased risk of divorce for smokers.
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PLEASE HELP! 50 POINTS! Consider the following set of sample data: (34, 32, 34, 32, 40, 37, 31, 31, 29, 27). Which of the following will give a 95% t confidence interval for the mean of the population from which the sample was drawn?
Answer:
(15.23,41.016)
Step-by-step explanation:
WE must determine the mean of the data set: Which is the sum of the set divided by the number in the set.
[tex]= (21 + 24 + 25 + 32 + 35 + 31 + 29 + 28)/8 = 225/8 = 28.125[/tex]
We must also determine the standard deviation: Which is the square root of the variance and the variance is the sum of squares of the sample number minus the mean divided by the number if the set data:
[tex]= ((21 - 28.125)^{2} + (24 - 28.125)^{2} +(25 - 28.125)^{2} + (32 - 28.125)^{2} + (35 - 28.125)^{2} + (31 - 28.125)^{2} + (29 - 28.125)^{2} (28 - 28.125)^{2}[/tex]
[tex]= 148.877/8 = 18.6[/tex]
The 95% confidence interval is defined as: The mean ± 1.96*standard deviation divided by the sqaure root of the number of data in the set:
[tex]= 28.125 + (1.96 *18.6)/(\sqrt{8} )[/tex]
[tex]= 41.016[/tex]
[tex]= 28.125 - (1.96 * 18.6)/(\sqrt{8}) = 15.23[/tex]
The confidence interval for this data set is (15.23,41.016)
Answer:
32.7 ± 2.262(1.19)
Step-by-step explanation:
See attached pictures
Please help! These data show the number of miles each of the 9 members of a track team ran for the week.
11 11.5 10.5 17 14.5 14.5 18 17 19
What is the IQR (interquartile range) for these data?
6.25
7.00
14.50
17.50
Answer:
14.50
Step-by-step explanation:
i took the quiz on k12 truse me i wish luck
The IQR for these data is 6.25.
Answer choice A is correct.
What is the interquartile range?An interquartile range is a measure of the difference between the upper and lower quartiles of a dataset.
W can find the values of the upper and lower quartile and median from a box plot.
The middle line is the median and the first line is the lower quartile and the last line is the upper quartile.
The formula used is Upper quartile - Lower quartile.
We have,
To find the IQR, we first need to find the first and third quartiles.
First, we need to order the data from smallest to largest:
10.5, 11, 11.5, 14.5, 14.5, 17, 17, 18, 19
Next, we find the median (middle value) of the data set.
Since we have an odd number of data points, the median is the middle number, which is 14.5.
To find the first quartile (Q1), we need to find the median of the lower half of the data set.
That is, we need to find the median of 10.5, 11, 11.5, and 14.5.
The median of this subset is (11 + 11.5) / 2 = 11.25.
To find the third quartile (Q3), we need to find the median of the upper half of the data set.
That is, we need to find the median of 17, 17, 18, and 19.
The median of this subset is (17 + 18) / 2 = 17.5.
Now we have the first quartile (Q1) = 11.25 and the third quartile (Q3) = 17.5. The IQR is the difference between Q3 and Q1:
IQR = Q3 - Q1
= 17.5 - 11.25
= 6.25
Therefore,
The IQR for these data is 6.25.
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what is the relationship between the sine and cosine of the complementary angles in this diagram? drag and drop the answers into the boxes to correctly complete the statements.
Both sin(41) and cos(x) can be represented by the ratio ____. the angles measuring 41 and x are complementary angles. this means x+41=____. therefore x=____. since sin(41) = cos(x), this also shows that sin(41)=cos(_____).
Answer:
Step-by-step explanation:
Both sin(41) and cos(x) can be represented by the ratio b/c
What is complementary angles?If the sum of two angles is equal to 90 degrees, then such angles are called complementary angles. The total of the two angles' measurements determines their complement and supplement. The pair of angles is said to be complimentary if the product of the two angles equals the measurement of a right angle. Example:
40° is the complement of 50°.
50° is the complement of 40°.
sin (41) = b/c
cos (x) = b/c
∴both sin(41) and cos(x) can be represented by the ratio b/c
x + 41 = 90 (∵ complementary angles)
x = 90-41 = 49
∵ sin 41 = cos x
∴ sin 41 = cos (90-41)
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solve the system by substitution
¿ Cuanto es 3 por 5 centésimas ?
Answer:
0.15 or 3.05
Step-by-step explanation:
3*(5/100) = 15/100 = 3/20 = 0.15
or
3 5/100 = 305/100 = 61/20 = 3.05
dependiendo de lo que esté tratando de encontrar
lo siento si mi español es malo
espero que esto ayude
PLSS ANSWER
Round each fraction to help you estimate the solution for the equation.
three sixths plus three sixths
A. 0
B. one half
C. 1
D. one and one half
[tex] \frac{3}{6} = three \: sixths[/tex]
[tex] \frac{3}{6} + \frac{3}{6} = \frac{3 + 3}{6} = \frac{6}{6} = 1[/tex]
Letter CThere are 40%bananas and 50% apples in a bowl. How many more percentage points apples should be there so that apples become 50% more than bananas
Answer:
This means 50% of the total should be apples regardless of how many fruits there are in the bowl. If the reader only has 40% apples, they know they need to increase the number of...
Step-by-step explanation:
Give me a real life example of when you would use area. * (your own wording please!!!!)
Answer:
Area is very commonly used in our world we just may not immediately recognize it. Most if not all construction workers use area to figure out how much Sq feet they have to work with. When decorating your home you need to know how much space is in each room. When installing carpet or hardwood you'll need to figure out the area of your room.
Hopefully this helps!
Question 17 of 30 Will the answer to the subtraction problem below be odd or even? 743 - 353 = ? O A. Odd B.Even
Answer:
answer is 390 which is even number
any number you see has 0,2,4,6,8 at the end of a number is considered as an even number.
any number you see has 1,3,5,7,9 at the end of a number is considered as an odd number.
Help me please!!!!!!!!!!
Answer:
p(3,2)=====P'(-2,3)....
I REALLY NEED HELP MY GRADES GO IN TONIGHT AND I CANT SOLVE THIS I NEED A REAL ANSWER I WILL CHECK BEFORE GIVING POINTS!!!!!!!!!!!!!!!!!
Answer:
K. 8
N. 12
A. 29
H. 5
I. -297
G. 89
T. 50
S. -7
W. 165
WHAT'S SHAKING
Answer:
K: 8
N: 12
A: 29
H: 5
I: -297
G: 89
T: 50
S: -7
W: 165
WHATS SHAKING [Answer]
Step-by-step explanation:
Please rate!!
express in the form 1 : n give n as a simplifeid fraction 8 : 6
Answer:
So, Simplified fraction of 8:6 is 4:3.
To visit the top of the Empire State Building, a ticket cost $ 4.00 in 1999. In 2009, the price rose to $ 20.00. What was the percent charge
Answer:
500%
Step-by-step explanation:
500% is 500/100 which is just 5*4=20
3+8+(87÷4)=(12345676×3825829){=dheg
Answer:
Read the explanation
Step-by-step explanation:
look at the photo
The length is :____meters and the width is____meters.
Answer:
Length = 42, Width = 14
Step-by-step explanation:
Say width = x
3x + x = 56
4x = 56
x = 14
14 x 3 = 42.
Answer:
width = 7
length = 21
Step-by-step explanation:
x + 3x = 56/2
4x = 28
x = 7
Find the mean of the data.
55,64,58,43,49,67 Please!!
Find the value of cos
V
V rounded to the nearest hundredth, if necessary.
Answer:
image
Step-by-step explanation:
image
25 am
15 cm
15 om
E9 cm
-
9 cm
What is the area of the trapezold?
O
354 cm
o
408 cm2
0 510 cm2
0 O
595
cm2
The answer is 408 cm2 after applying the formula of right angled triangle,adding 25 and both 9 and applying the formula 1/2(p1+p2)h
Please give me brainliest
Hooray! Poplin Elementary collected 1,224 Box Tops! The 8 volunteer moms will have to tape them to the turn-in sheet. If they share the work equally, how many will each mom need to do?
A student could run 2 miles. After extensive training, the student could run five times as far as she could before the training. How far can the student run now?
Answer:
10 miles
Step-by-step explanation:
He could run 2 miles.
Now he can run 5 times as far.
Now he can run 5 times 2 miles.
5 × 2 miles = 10 miles
Given the expression which operation would you perform first?
Hey there!
Let's use PEMDAS:
P=Parentheses
E=Exponents
M=Multiplication
D=Division
A=Addition
S=Subtraction
So, let's use this formula in order to solve this problem.
We have:
3(4²)+4+16-9
According to PEMDAS, the first operation is
Parentheses (in this case, exponents)
Hence, the answer is
[tex]\boxed{\boxed{\bold{Option\;B}}}[/tex]
Hope everything is clear.
Let me know if you have any other questions; if so, please comment.
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[tex]\rule{200}{2}[/tex]
What is the slope-intercept equation
for the following line?
Answer:
y=-1/3 x+1
Step-by-step explanation:
What is the value of x in the equation 1/3x-2/3=-18
?
O -56
O -52
O 52
O 56
Answer:
x = -52
Step-by-step explanation:
Multiply both sides of the original equasion by 3 to get:
x - 2 = -54
Slide over the - 2 across the equal sign to get a +
x = -54 + 2
-54+2 = -52
Soo
x = -52
A private club grew by 7 members each week for 63 weeks. What was the total change in the club's size? members
Answer:
The answer is 441
Step-by-step explanation:
7 x 63 = 441
Original price 770$ is on sale at a 9% off what is the discount amount and sale price ?
Answer:
770 x 9/100 = 69.3
the discound amount = 69.3$
the sale price = 770 - 69.3 = 700.7$
How many sweatshirts sold is BEST predicted with an outside temperature of 5 °F? A) 170 B) 200 C) 230 D) 250
Use the Pythagorean Theorem to find the missing length and then round the
result to the nearest tenth.
Answer:2 squared +3 squared and the square root of that number
Step-by-step explanation:
The expression below is the factorization of what trinomial?
(5x + 6)(3x - 2)
A. 15x^2 + 4x + 12
B. 15x^2 + 4x - 12
C. 15x^2 + 8x + 12
D. 15x^2 + 8x - 12
Answer:
Choice D is the correct answer
Step-by-step explanation:
Use the foil method and expand
Help help math math help
Answer:
The answer to this equation is 2
Step-by-step explanation:
x-2 = 3(2-x) \4
x-2= 6 -3x/4
cross multiply
4(x-2)= 6-3x
4x-8 = 6-3
collect like terms
4x+3x = 6+8
7x = 14
divide both sides by 7
7x/7= 14/7
x = 2
Express 100,000 as a power of 10
Answer:
10^5
Step-by-step explanation:
10 multiplied by itself five times (10*10*10*10*10) is 100,000.