(a) An article in a medical journal suggested that approximately 14% of such operations result in complications. Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.08

Answers

Answer 1

This question is incomplete, the complete question is;

Surgical complications: A medical researcher wants to construct a

99.5% confidence interval for the proportion of knee replacement surgeries that result in complications.

- An article in a medical journal suggested that approximately 14% of such operations result in complications. Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.08?

Answer: a sample of operations needed is 149

Step-by-step explanation:

Given that;

confidence interval = 99.5% = 0.995 so

margin of error E = 0.08

p = 14% = 0.14

now we obtain the critical value of z t the 99.5 confidence interval

∝ = 1 - confidence interval

∝ = 1 - 0.995

∝ = 0.005

∝/2 = 0.0025

obtaining the area of probability in the right tail

Area of probability to the right is = 1 - 0.0025 = 0.9975

from probability table; critical value of t =2.81

using the formula

n = p( 1 - p ) [ (z_∝/2)/E)² ]

so we substitute  

n = 0.14 ( 1 - 0.14 ) [ 2.81 / 0.08 )²  

n = (0.14 × 0.86 ) × 1233.7656

n = 148.5453 ≈ 149

Therefore , a sample of operations needed is 149


Related Questions

Please please help me!!
solve the system of equations by the substitution method.
{ 4x - 5y = 19
{ y = x - 4

select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The solution is __ (Simplify your answer. Type an ordered pair.)
B. There are infinitely many solutions.
C. There is no solution.

Answers

Answer:

A. The solution is (1, -3)

Step-by-step explanation:

4x - 5y = 19

y = x - 4

Since the second equation already has y isolated, you can just plug that into the first equation:

4x - 5(x - 4) = 19

4x - 5x + 20 = 19

-x = -1

x = 1

Take your x value from the previous equation answer and plug that into the second equation:

y = (1) - 4

y = -3

Final solution:

(1, -3)

If you really want to know if you're correct, just do a LS/RS check for both equations:

4(1) - 5(-3) = 19

19 = 19

LS = RS

-3 = 1 - 4

-3 = -3

LS = RS

Answer:

A : 1,-3

so you substitute y= x-4 into 5y to make the equation look like 4x-5(x-4)=19 then you do -5 times (x-4) which should get you -5x and 20 so now the equation looks like this 4x-5x + 20 =19 then you combine like terms like 4x-5x which should get you -1x after you do that you subtract 20 from both sides of the equation and that should also get you -1 After you do all of that you divide by 1 on both sides and them you get your x term which is x= 1 now you can plug that into this equation y=x-4 now that equation will be y=1-4 and that is y=-3 so your answer is 1,-3

IF YOU DONT WANT TO DO ALL OF THAT BY HAND YOU CAN ALWAYS PLUG THAT EQUATION INTO DESMOS GRAPHING CALCULATOR AND YOU JUST HAVE TO FIND THE POINT WHERE THE LINE INTERSECTS

During a bake sale, dozen cookies were sold in hour. What is the unit rate for the dozens of cookies sold per hour?

Answers

Answer:

12:1

Step-by-step explanation:

Answer:

12:1

Step-by-step explanation:

Because 12 is the amount of cookies to the ratio of hours which is 1 therfore 12:1

[2.1 + (8 - 4) - 1.25] = ?

Answers

Answer:

4.85

Step-by-step explanation:

Answer:

4.85

Step-by-step explanation:

[2.1 + 4 - 1.25]

= (6.1 - 1.25)

=4.85

Figure ABCD is a rhombus.

Rhombus A B C D is shown. Angle A is (5 x + 25) degrees and angle D is (7 x minus 1) degrees.

What is the value of x?

13
14
26
28

Answers

Answer:

Value of X is 13

The value of x is 13 in given figure, which is correct option (A).

What is the rhombus?

A rhombus is defined as a special type of parallelogram that is a quadrilateral with two pairs of equal parallel sides. it fulfills the requirements of a parallelogram.

What is perimeter of rhombus?

The perimeter of a rhombus is defined as the total length of its region. The four sides of a rhombus are equal, its perimeter is calculated by multiplying the length of its side by 4.

Perimeter of a rhombus = 4 × A units,  where ‘A’ is the length of the side of the rhombus

In figure ABCD is a rhombus

Given as :

Angle ∠ A = (5x + 25)

Angle ∠ D = (7x - 1)

Since adjacent angles of a rhombus add up to 180°

(5x + 25) + (7x - 1) = 180 and both equal

So, 5x + 25 = 7x - 1

Rearrange the terms in the equation,

7x - 5x = 1 +25

2x = 26

x = 13

Hence, the value of x is 13 in given figure.

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Why is a scale factor of 2 the same as 200%?

Answers

Answer:

the action of deposing someone, especially a monarch.

Step-by-step explanation:

The mean June midday temperature in Desertville is 36C and the standard deviation is 3C.Assuming this data is normally distributed, how many days in June would you expect the middaytemperature to be between 39C and 42C

Answers

Answer:

4

Step-by-step explanation:

Given that:

Mean temperature (m) = 36°C

Standard deviation (s) = 3°C

Temperature between 39°C and 42°C

Temperature < 39°

Probability of temperature < 39

P(x < 39)

The standardized score (Z) :

Z = (x - m) / s

Z = (39 - 36) / 3 = 1

p(Z < 1) = 0.84134 ( Z probability calculator)

Temperature < 42°

Probability of temperature < 42°

P(x < 42)

The standardized score (Z) :

Z = (x - m) / s

Z = (42 - 36) / 3 = 2

p(Z < 2) = 0.97725 ( Z probability calculator)

p(Z < 2) - p(Z < 1) = 0.97725 - 0.84134 = 0.13591

Hence, number of days in June = 30

Expected number of days = 30 * 0.13591 = 4.0773 = 4 (nearest whole number)

Write the equation of the circle with center of 10-2 and a radius of 7

Answers

Answer:

(x-10)^2 + (y-2)^2 = 49

Step-by-step explanation:

I'm assuming that 10-2 means (10,2)

Equation of circle:

(x-a)^2 + (y-b)^2 = r^2

Plugging in the values that we know:

(x-10)^2 + (y-2)^2 = 7^2

(x-10)^2 + (y-2)^2 = 49

Hope this helps!

Can someone help me with this question?

Answers

a) The average rate of change of annual sales between 2017 and 2018 is 1.08%

b) The average rate of change of annual sales between 2017 and 2020 is -3.27%

Calculating average rate of change

From the question, we are to determine the average rate of change of annual sales

a) Between 2017 and 2018

Sale in 2017 = 367

Sale in 2018 = 371

The change in sales between the years = 371 - 367

Change in sales between the years = 4

Thus,

Average rate of change = 4/367 × 100%

Average rate of change = 1.09%

Hence, the average rate of change of annual sales between 2017 and 2018 is 1.08%

b) Between 2017 and 2020

Sale in 2017 = 367

Sale in 2020 = 355

Change in sales between the years = 355 - 367

Change in sales between the years = -12

Thus,

Average rate of change = -12/367 × 100%

Average rate of change = -3.27%

Hence, the average rate of change between 2017 and 2020 is -3.27%

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its due soon help ill give brainliest
The price of a pair of headphones at Store A is 3/4 the price at Store B.
The price at Store A is $89.25. Find how much you save by buying the headphones at Store A
a. 119
b. 72
c. 29.75

Answers

The answer is C, 29.75

Answer:

alt answer to give ya brainliest nxsdsvfkbjnvbc

Step-by-step explanation:

cnrgnsdmx

In the graph, the area below f(x) is shaded and labeled A, the area below g(x) is shaded and labeled B, and the area where f(x) and g(x) have shading in common is labeled AB.

Graph of two intersecting lines. The line f of x is solid and goes through the points 0, 4, and 4, 0 and is shaded below the line. The other line g of x is solid, and goes through the points 0, negative 1 and 2, 5 and is shaded below the line.

The graph represents which system of inequalities?

y ≤ −3x − 1
y ≤ −x − 4
y > −3x + 1
y ≤ −x − 4
y < 3x − 1
y ≤ −x + 4
y ≤ 3x − 1
y ≥ −x + 4

Answers

Answer:

y ≤ 3x − 1

y ≤ −x + 4

Step-by-step explanation:

Miranda bought a brand-new cell phone. She noticed that the battery
consumes a rate of 5% per half an hour. Determine a function model that
represents the amount of battery left after a period of time.

Answers

The function model that represents the amount of battery left after a period  of time is y = 1 ₋ 10%x

Given, Miranda bought a new cell phone which is consuming battery at a rate of 5% for every half an hour.

We are required to establish a function model that depicts how much battery is remaining after a certain amount of time.

Let y represent the amount of battery left.

and x represent the number of hours.

Then 5% per half an hour = 5% × 2 = 10%

Now frame the function model:

The amount of battery left = 1 ₋ (rate percent at which battery is being consumed)(The number of hours left)

⇒ y = 1 ₋ 10%(x)

y = 1 ₋ 10%x

As a result, we obtained the function model for the battery's remaining capacity as y = 1 ₋ 10%x

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Converse statement. If this month is February then the next month is march

Answers

Answer:

If the month is march then the next month is February

Step-by-step explanation:

There are 120 students and 23 teachers going on a class trip. The buses used for the class trip hold at most 45 passengers. How many buses will be needed?​

Answers

Answer: 4 busses if each bus only hold 45 passengers at most.

Step-by-step explanation:

120 students

23 teachers=143 people

143 divided by 3 busses is only 47 so 3

busses wouldn’t be enough

4(x-1)-2(3x+5) =-3+1

Answers

Answer:

x= -8

Step-by-step explanation:

4(x-1)-2(3x+5)=-3+1

4x-4-6x-10=2

-2x-14=2

-2x=16

x= -8

Como puedo calcular tasa de crecimiento?

Answers

Answer:

Si quiere decir en un gráfico, busque cuántas unidades se eleva la coordenada y, a continuación, se ejecuta (izquierda o derecha).

Si algo no suena lo siento mi español es malo. ;--;

need help please I don't have a long time!!​

Answers

Answer:

with what

Step-by-step explanation:

Enter the equation in standard form.

Answers

The answer is: 7x-3y=-6

Jacob says that the product of a rational number and an irrational number is sometimes
rational and sometimes irrational. Which statement correctly describes whether Jacob is
correct or incorrect?

Answers

We need to know about rational and irrational numbers to solve the problem. Jacob is incorrect because the product of a rational and irrational number is always irrational.

Rational numbers are numbers that can be represented as p/q , p and q are integers where q is not equal to zero. Irrational numbers are real numbers that are not rational numbers, that cannot be represented as a division of two integers. When a rational and irrational number is multiplied, it always gives an irrational number. Let me use an example to explain this

2 is a rational number and [tex]\sqrt{2}[/tex] is an irrational number, the product of these two numbers is [tex]2\sqrt{2}[/tex] which is an irrational number.

Therefore we see that Jacob was wrong because the product of a rational and an irrational is always irrational.

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Can someone help me out?

Answers

Answer:

16

Step-by-step explanation:

please mark me brainliest and 5 star

Answer:

16

Step-by-step explanation:

You add all the sides together hope it helps pls mark brainliest

Given right triangle ABC with altitude BD drawn to hypotenuse ACAC. If AD=4AD=4 and DC=9 ,DC=9, what is the length of BD?
(Note: the figure is not drawn to scale.) Please help ASAP will award 100 points

Answers

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Wait so the sum of interior angles

Answers

Answer:   1260

====================================================

Work Shown:

n = number of sides = 9

S = sum of the interior angles of any polygon with n sides

S = 180(n-2)

S = 180(9-2)

S = 180(7)

S = 1260

hi loves is this correct?

Solve for X.

X^2 - 2x + 1 = 0

X= 1?

Answers

Answer:

yes x=1

Step-by-step explanation:

x[tex]x^{2} -2x+1=0\\(x-1)^{2}=0 x-1=0 \\x=1[/tex]

A line passes through the point (8,-4) and has a slope of -3/4
Write an equation in slope intercept form for this line.

Answers

Answer: y=-3/4x+2

Step-by-step explanation:

y=mx+b

y=-3/4x+b

-4=-3/4(8) +b

-4=-6+b

b=2

y=-3/4x+b

y=-3/4x+2

What is the equation of the line in slope-intercept form? y = _ x + _

Answers

Y=4/3x + 4 is the answer

Solve for a
|6a + 3|
3
> 2

Answers

Answer:a> [tex]-\frac{7}{18}[/tex]

Step-by-step explanation:

(6a+3)3>2

Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.

[tex]6a+3 > \frac{2}{3}[/tex]

Subtract 3 from both sides.

[tex]6a > \frac{2}{3} -3[/tex]

Convert 3 to fraction  [tex]\frac{9}{3}[/tex]

[tex]6a > \frac{2}{3} -\frac{9}{3}[/tex]

Since  [tex]\frac{2}{3} \frac{9}{3}[/tex]have the same denominator, subtract them by subtracting their numerators.

[tex]6a > \frac{2-9}{3}[/tex]

Subtract 9 from 2 to get −7.

[tex]6a > -\frac{7}{3}[/tex]

Divide both sides by 6. Since 6 is positive, the inequality direction remains the same.

[tex]a > \frac{-\frac{7}{3} }{6}[/tex]

Express  [tex]a > -\frac{7}{3\frac{6}{1} }[/tex]   and 6/1=6  as a single fraction.

[tex]a > \frac{-7}{3*6}[/tex]

Multiply 3 and 6 to get 18.

[tex]a > \frac{-7}{18}[/tex]

Fraction    [tex]\frac{-7}{18}[/tex]   can be rewritten as

[tex]-\frac{7}{18}[/tex]

 by extracting the negative sign.

[tex]a > -\frac{7}{18}[/tex]

y is directly proportional to the square of x.
When y= 24, x= 2.
Find the value of y when x=4.​

Answers

Answer:

y= 48

Step-by-step explanation:

X was doubled so i believe this is correct

Have a great day!!!

3. 32-(5.23) I need answers quick

Answers

Answer:

[tex] \sf \large \: - 31[/tex]

Step-by-step explanation:

3²−5(2³)

=9−5(2³)

=9−(5)(8)

=9−40

=−31

Solve the system
4x+5x= -27
x+9y= 1​

Answers

Answer:

x=-3, y = 4/9

Step-by-step explanation:

This is in equation form.

7th grade math help me please :))

Answers

Answer:

no because the absolute value of -7 is 7 which is greater than the absolute value of 6 which is 6.

Julia the cat wants to climb a tree that is 73 ft high. Every day she climbs 11 feet, but then during the night she comes back down 7 feet. Assuming that Julia does not fall, how long will it take her to reach the top of the tree?

Answers

Answer:

17 days

======================

Progress per day and night is:

11 - 7 = 4 ft

Number of days to climb the tree less 11 ft:

(73 - 11)/4 = 62/4 = 15.5 = 16 as whole number

Julia climbed in 16 days/nights:

16 * 4 = 64 ft

One more day is required after this:

16 + 1 = 17 days
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