A reproductive clinic had a success rate of 25% of patients with live births in 2008. They want to update their success rate (the proportion of live births) for 2020. If they want their estimate to be within 2.5%, how many patient's results should they sample if they plan to use a 99% confidence interval? Round your answer up to the nearest integer.

Answers

Answer 1

Answer:

They should sample the results of 1990 patient results.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is of:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

A reproductive clinic had a success rate of 25% of patients with live births in 2008.

This means that [tex]\pi = 0.25[/tex]

99% confidence level

So [tex]\alpha = 0.01[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].

If they want their estimate to be within 2.5%, how many patient's results should they sample if they plan to use a 99% confidence interval?

They should sample n patients.

n is found for [tex]M = 0.025[/tex]. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.025 = 2.575\sqrt{\frac{0.25*0.75}{n}}[/tex]

[tex]0.025\sqrt{n} = 2.575\sqrt{0.25*0.75}[/tex]

[tex]\sqrt{n} = \frac{2.575\sqrt{0.25*0.75}}{0.025}[/tex]

[tex](\sqrt{n})^2 = (\frac{2.575\sqrt{0.25*0.75}}{0.025})^2[/tex]

[tex]n = 1989.2[/tex]

Rounding up:

They should sample the results of 1990 patient results.


Related Questions

Find an
angle é coterminal to - 214°, where 0° 0 < 360°

Answers

I think it’s. 314 because it can be divided by pi for a numerical text expression.

PLEASE HELP I WILL MARK YOU BRAINLIEST!!
Frank earns x dollars every week. Each week he saves all of his money except $20, which he spends on food and gas. The rest of the money he deposits in his bank account. If he saved $260 over 4 weeks, how much money does Frank earn every week?

Answers

Answer:

85 dollars

Step-by-step explanation:

Big brain

What does b equal and c equal
DO NOT GIVE ME THAT ANNOYING LINK OR I WILL TRY TO BAN YOU :)

Answers

Answer:

b = 112

c = 68

Step-by-step explanation:

b and 112 are vertical angles are are congruent.

c and b are supplementary, and therefore add up to 180. 180 - 112 = 68.

Please mark me brainliest if you are happy with my answer <3

Answer:

Hello! answer: b = 112 c = 68

Step-by-step explanation:

These are a good example of vertical angles vertical angles are angles across from each other.

Angles across from each other will equal the same measure and ultimately all angles will add up to 360 degrees 112 + 112 + 68 + 68 = 360 Hope this helps!

Arielle has $60 in her wallet. She only has $10 bills. Which equation can be used to find the number of $10 bills, Arielle has?
A. 10 + b = 60
B. 10 • b = 60
C. 10 + 60 = b
D. 60b = 10​

Answers

Answer:

b

Step-by-step explanation:

10x6=60

<3

Answer:

The answer is B.

Here you go can you answer it now I need it ASAP please.

Answers

Answer:

I think both A and B would work,


What is the horizontal asymptote of the function F(x)=(x-2)/(x-3)^2

O y = 0
O y = 1
O y = 2
oy=3

Answers

Y=0 there is no horizontal asymptote so it is 0

The horizontal asymptote of the function f(x) = (x - 2)/(x - 3)²is;

A: y = 0

We are given the function;

f(x) = (x - 2)/(x - 3)²

Expanding the denominator gives us;

f(x) = (x - 2)/(x² - 6x + 9)

The rules for a horizontal asymptote are;

If the degree of the polynomials in both denominator and numerator of a rational function are the same, then the horizontal asymptote will be expressed as the quotient of coefficients of the highest degree terms.

If the polynomial of the denominator has a larger degree than the numerator, then the horizontal asymptote will be y = 0.

In our given expression, we can see that the degree of the denominator polynomial is greater than that of the numerator and as such the horizontal asymptote is y = 0.

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HELP ASAP What is the area and perimeter of the figure?

Answers

Answer:

Area: 4,200 ft²

Perimeter: 300 ft

Step-by-step explanation:

Area:

(10 x 20) + (20 x 20) + (70 x 60)

=200 + 400 + 4200

=4,200 ft²

Perimeter:

60 + 70 + 60 + 20 + 20+ 40 + 20 + 10 = 300

I think the area is 4,200
Perimeter 300

jennifer scored 75 on her quiz last week. this week she scored 90. what was the percent of increase on the quiz score?

Answers

Answer:

The answer is a 20% increase

Hope this helps!

Mark me brainliest if I'm right :)

The original price of a vest for sale at a department store is $80. The store is having a 20%-off sale, and you have a coupon that gives you an additional discount of 20% off the lowest sale price. What is the final selling price of the vest?The original price of a vest for sale at a department store is $80. The store is having a 20%-off sale, and you have a coupon that gives you an additional discount of 20% off the lowest sale price. What is the final selling price of the vest?

Answers

Answer:

The final selling price would be $51.20

20% of 80 gives you 16

80-16= 64

20% of the 64 which is from the coupons gives you 12.5

64-12.5 =51.20

Answer:

person above me is correct

Step-by-step explanation:

just put what they put

Find the number of distinct arrangements of the 9 letters in SEVENTEEN. Two of the same letter are considered identical (not distinct).

Answers

The number of distinct arrangements of the 9 letters in SEVENTEEN is 7560

The number (n) of letters in SEVENTEEN is given as:

[tex]n = 9[/tex]

The repeated letters are E and N, and their frequencies are:

[tex]E=4[/tex]

[tex]N = 2[/tex]

So, the number of distinct arrangements is calculated as:

[tex]Arrangements = \frac{n!}{E!N!}[/tex]

Substitute values for n, E and N

[tex]Arrangements = \frac{9!}{4! \times 2!}[/tex]

Expand the factorials

[tex]Arrangements = \frac{362880}{24 \times 2}[/tex]

[tex]Arrangements = \frac{362880}{48}[/tex]

Evaluate the quotient

[tex]Arrangements = 7560[/tex]

Hence, the number of distinct arrangements is 7560

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The difference between the squares of two numbers is aperiod twice the square of the first number increased by the square of the second number is 19. Find the numbers.

Answers

numbers are are x and y
x^2-y^2=5
3x^2+y^2=31
Add them
4x^2=36, the y^2 disappear
x^2=9
x=3 and -3
check both
x=3, y=2 or -2
x=-3, y=2 or -2
(3, 2) (3, -2) (-3, 2) (-3, -2)

1. Use the given graph. Determine the period of the function. (1 point)
10
-2.5
OOOO
8

Answers

Answer:

4 a

Step-by-step explanation:

trust

U7 L1 Exploring Periodic Data: Multiple Choice:

1. Use the given graph. Determine the period of the function. (1 point)

a) 4

2. Determine whether the function is periodic. If it is, find the period. (1 point)

a) periodic; about 6

3. Determine whether the function is periodic. If it is, find the period. (1 point)

b) not periodic

4. Find the period and the amplitude of the periodic function. (1 point)

c) 2; 0.5

5. The screen below shows the graph of a sound recorded on an oscilloscope. What are the period and the amplitude? (Each unit on the t-axis equals 0.01 seconds.) (1 point)

a) 0.05 seconds; 4.5

I just took the test, 5/5 (100%)

A cylinder has no lateral faces.

a. true
b. false

Answers

Answer: it’s a

Step-by-step explanation:

A. True



Hope it helps!!

Two angles in a triangle measure 28° and 93º. What is the measure of the third angle?

O 59
O 87
O 121
O152

Answers

Answer:

rather 59 or 87?

Step-by-step explanation:

What is the period of the graph of

Answers

I think it is 8 I’m pretty sure

I'm testing something, so you can just take the points if you want I don't care.

Answers

Answer:

...Okay thank you!

Step-by-step explanation:

...... :)

Answer:

Hello random person, thanks for the points! <3

2x²-5x+2=0 solve for x​

Answers

[tex]{ \huge {\underline {\underline {\mathfrak {\purple{Answer}}}}}}[/tex]

[tex] \longmapsto{2 {x}^{2} - 5x + 2}[/tex]

[tex] \longmapsto{2 {x}^{2} - 4x - x + 2}[/tex]

[tex]\longmapsto{2x(x - 2) - 1(x - 2)}[/tex]

[tex]\longmapsto{(2x - 1)(x - 2)}[/tex]

[tex] \boxed{ \huge x = \huge\dfrac{1}{2} \: or \: 2}[/tex]

find the diameter of a circle with a circumference of 86.34 meters

Answers

9514 1404 393

Answer:

  27.483 m

Step-by-step explanation:

The circumference of a circle is given by ...

  C = πd

so the diameter is ...

  d = C/π

  d = (86.34 m)/(3.1416) ≈ 27.483 m . . . diameter

the values at which the graph of polynomial crosses the _-axis are called "roots" and are the values for which the y-value is zero.

Answers

Answer:

x- axis

Step-by-step explanation:

The blank is the x-axis

Can someone help me figure this out please? Derek has 277 stickers. What number can you use to describe how many stickers Derek has? Explain how you decided.

Answers

Maybe they are referring to the word sum. So Derek has a sum of 277 stickers or Derek has a total of 277 stickers?

Alisa has a bunch of coins. She has pennies. She has nickels. She has dimes. She has quarters. They lie in one big pile. Alisa wants to organize her coins. So she goes into her cupboard and finds four jars. Each jar has a different shape and size. Alisa puts the pennies into one jar. She puts the nickels into another jar. She puts the dimes into another jar. She puts the quarters into another jar. Then she puts all four jars on the table and steps back. Looking at them, Alisa scratches her head.( look at pic! )

Answers

not enough information is provided

Not enough information is provided to answer Because there aren't being given an exact amount of each currency. So the correct option is E.

How to find that which jar of alisha is most worth?

We have been given information;

Alisa has a bunch of coins. She has pennies. She has nickels. She has dimes She has quarters. They lie in one big pile.

Alisa wants to organize her coins So she goes into her cupboard and finds four jars.

Each jar has a different shape and size. Alisa puts the pennies into one jar and puts the nickels into another jar.

She puts the dimes into another jar. She puts the quarters into another jar Then she puts all four jars on the table and steps back.

Not enough information is provided to answer Because there aren't being given an exact amount of each currency, there is no way to know for sure which jar would have the most money in it.

So the correct option is E.

Learn more about this concept;

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solve for the variable in 6/18=?/36

Answers

Answer:

12

Step-by-step explanation:

since 36 is double 18, you would then double 6. what you do to one side, you do to the other:)

Answer:

? = 12

Step-by-step explanation:

18  ⋅ 12  =  36 , multiply the numerator  

6  by  2  to get   12 .

 What is the slope, m, of the line represented by the table below?
A. -4
B. -1/3
C. 1/3
D. 3

Answers

Answer:

1/3

Step-by-step explanation:

-4 - (-3)= - 1

-12 -(-9)=-3

two negatives make a positive

-1/-3 = 1/3

Easy please help #1-6

Answers

Answer:

1. 1               2.1/2           3. 0           4. 1              5. 1/2           6. 0

Step-by-step explanation:

Help! plz! u'll get brainliest

Answers

jaime will have $752.50 by the end of the week and his pattern is the total amount of money saved times the week hes saved up going up by $150.50 itll take him 8 weeks to save up

anyoneknodacorrectanswer

Answers

Answer:IknowdacorrectansweritisA

Step-by-step explanation:

Reflect shape A in the line x = -2

Answers

The reflection of shape from x = -2 shown below.

What is Transformation?

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

We have,

To reflect the figure from x= -2.

Then, the coordinates of object after reflection is

(-1, -1)

(1, -1)

(-1, -4)

(0, -4)

(1, -3)

Learn more about transformation here:

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PLS HELP I WILL MARK YOU BRAINLIEST!!!! The table represents some points on the graph of an exponential function.
Which function represents the same relations?

Answers

Answer:  Choice Bf(x) = 18(6/5)^x

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

Explanation:

When x = 0, we have y = 18. The y intercept value is 18. This is the initial value, and it's the value of 'a' in the equation below

y = a*b^x

The value of b is tied to the growth or decay rate, depending on if b > 1 or if 0 < b < 1 respectively.

In this case, we have growth due to y increasing as x increases. They increase together.

When x increases by 1 like this, the value of b can be determined by dividing any y term over its previous value. So for instance, we can say b = 21.6/18 = 1.2 or we could say b = 25.92/21.6 = 1.2

Then note how 1.2 = 6/5, which means b = 6/5

Therefore, y = a*b^x becomes y = 18(6/5)^x

--------------

We can confirm this equation by plugging in x values from the table and we should get the y values, or f(x) values, listed

Example: plug in x = 0 to find that

y = 18(6/5)^x

y = 18(6/5)^0

y = 18(1)

y = 18 which matches

Then try x = 1

y = 18(6/5)^x

y = 18(6/5)^1

y = 18(1.2)

y = 21.6 that also matches

I'll let you confirm the other x values.

Which set of 3 angles could represent the interior angles of a triangle?


34

∘, 45

∘, 11



49

∘, 59

∘, 72



49

∘, 70

∘, 85



24

∘, 51

∘, 15

Answers

9514 1404 393

Answer:

  (b)  49°, 59°, 72°

Step-by-step explanation:

The sum of the interior angles of a triangle is 180°. The only answer choice with that sum is the second one.

  49°, 59°, 72°

Is this problem 18 points scored in 3 games and 20 points scored in 5 games.
proportional or not proportional?

Answers

Answer:

not proportional

Step-by-step explanation:

mrk brainliest

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