How many American adults must be interviewed to estimate the proportion of all American adults who actively try to avoid drinking regular soda or pop within 0.01 margin of error with 95% confidence using the large-sample confidence interval

Answers

Answer 1

Answer:

9604 American adults must be interviewed.

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]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

How many adults must be interviewed for the margin of error to be 0.01?

This is n, which is found for M = 0.01.

We have no estimate for the proportion, so we use [tex]\pi = 0.5[/tex], which is when the largest sample size will be needed.

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

[tex]0.01 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]

[tex]0.01\sqrt{n} = 1.96*0.5[/tex]

[tex]\sqrt{n} = \frac{1.96*0.5}{0.01}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96*0.5}{0.01})^2[/tex]

[tex]n = 9604[/tex]

9604 American adults must be interviewed.


Related Questions

What are 64 real square roots

Answers

The square roots of 64 are -8 and +8.

Answer:

8

Step-by-step:

Find the calculator, look for the square root symbol and put 64 in there.

If ß is the small angle is a 3-4-5 right triangle, then sin ß = ?

Answers

Answer:

sin β = sin(36.87) ≈ -0.73733168456

Step-by-step explanation:

The small angle in a 3-4-5 triangle is 36.87 and when you put that into a calculator you are left with roughly -0.73733168456.

What is the image of F for a dilation with center (0, 0) and a scale factor of 10? (−30, −30) (30, 30) (30, −30) (−30, 30)

Answers

Answer: (-30,30)

Step-by-step explanation:

f = -3,3, -3 times 10 = -30 and 3 times 10 = 30 etc

QUOTIENT OF 84 AND 6

Answers

Answer:

Yo, 84/6 is 14

Step-by-step explanation:

The quotient is the answer you get from a division problem.

Answer:

84 ÷ 6 = 14, or 6 ÷ 84 = 0.07142857142857142857142857142857...

I assume that you meant 84 ÷ 6.

Hope that this helps!

4. Which function has two
x-intercepts, one at
(5, 0) and one at (-4, 0)

f(x) = (x - 5)(x – 4)

f(x) = (x - 5)(x + 4)

f(x) = (x + 5)(x - 4)

f(x) = (x + 5)(x +4)

Answers

Answer: B) (x - 5)(x + 4)

Step-by-step explanation:

we’re looking for x intercepts at x = 5 and x = -4

x - 5 = 0; x = 5

x + 4 = 0; x = -4

(x - 5)(x + 4) is your answer

hrutoday? eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

The answer to your question is = 1/81

IM ALMOST DONE WITH MY DIAGNOSTIC YAY!!!!​

Answers

Answer:

27 cubic units

hope this helps

have a good day :)

Step-by-step explanation:

The answer is 27units!! i think i am right

Simplify (49t ^ - 5)/(7 ^ - 3 * 10 * e ^ - 9) * (t * 0)
Pls fast​

Answers

Answer:

[tex] \frac{(49 {t}^{ - 5} )}{( {7}^{ - 3} \times 10 {e}^{ - 9} ) \times (t \times 0)} \\ = \frac{( { {7}^{2} t}^{ - 5} ) \times 7 {}^{3} }{(10 {e}^{ - 9} )} \\ = \frac{ {7}^{5} }{( 10{t}^{5} {e}^{ - 9} ) } [/tex]

I have no idea pls help

Answers

Answer:

Area= 90

Step-by-step explanation:

triangle area: (b x h) / 2

(12 x 15) / 2

(180) / 2

a= 90

The following scatter plot represents the number of views a video gets each day.
(b) Use a graphing calculator or other technology to write a regression equation to model the data.
(c) A video is considered viral if it receives more than three million views by the time it has been posted for 10 days. Use the model from Part (b) to determine if the video will receive enough views to be considered a viral video. Show your work.

Answers

Answer:

y = 1.0535(4.9512)^x

It can be considered a viral video

Step-by-step explanation:

Using the exponential regression calculator, the regression model obtained is :

y = 1.0535(4.9512)^x

Using the model, we can determine if a video can be considered viral ;

Number of days, x = 10

y = 1.0535(4.9512)^10

y = 1.0535(8853290.1338)

y = 9,326,941.15

Hence, video will receive way over 3 million reviews, a review of about 9,326,941, hence, it can be considered a viral video.

SHOW YOUR WORK

5/8 times ? equals 5/2 or 2 1/2

Answers

Answer: 4


Step by step solution:

5/8x=5/2
5x=5/2*8
5x=20
x=4

Check

5/8*4=?
20/8=5/2

The largest 2-digit number is 99. How many 2-digit numbers must be in a set in order to apply the pigeonhole principle to conclude that there are two distinct subsets of the numbers whose elements sum to the same value

Answers

Answer:

The solution can be defined as follows:

Step-by-step explanation:

[tex]\to n = 10[/tex]

There are 210 = 1,024 sub-sets of 10 entries, however, the number of enters between the lower and upper limits total of 10 different submissions between 1 and 100 can be as low only as 901 (= 955 - 55 + 1). There has to be a minimum level of at least 1 subset with much more subgroups than possible, which equals at least two sets. Call for two main sub, S' and T' equivalent.

Let

[tex]C = S' \cap T'[/tex]

when

[tex]S = S' - C \\\\T = T' - C\\\\[/tex]

Then[tex]S \ and\ T[/tex] are disjoint

[tex]sum(S) = sum(S' - C)\\\\[/tex]

            [tex]= sum(S') - sum(C)\\\\= sum(T') - sum(C)\\\\= sum(T' - C)\\\\= sum(T)\\[/tex]

Vincent needs 20 inches of wood to makeOne shelf. How many feet of wood does Vincent need to make 6 shelves

Answers

Answer:

10 feet

Step-by-step explanation:

Multiply 20 by 6 which will give the answer 120 (in inches). Then convert 120(inches) to feet by dividing with 12.The answer will be 10(feet) needed for six shelves.

20x6= 120

120/12=10

=10 ft

is the world hiding submarines in the ocean?

Answers

Answer:

possibly china, but not confirmed.

Step-by-step explanation:

Find the volume of this prism.
9 cm
12 cm
6 cm

Help pls

Answers

Answer:

324 cm^3

Step-by-step explanation:

Volume = l x w x h / 2

V = 12 x 6 x 9 / 2

V = 648 / 2

V = 324 cm^3

Answer:

V = 324 cm³

Step-by-step explanation:

The volume (V) of the prism is calculated as

V = area of triangular end × length

A of triangle = [tex]\frac{1}{2}[/tex] × 6 × 9 = 3 × 9 = 27 cm² , then

V = 27 × 12 = 324 cm³

- Your furniture store sells two types of dining room tables. The first, type A, costs $213 and you make a $23
profit on each one. The second, type B, costs $109 and you make a $16 profit on each one. You can order no
more than 90 tables this month, and you need to make at least $1720 profit on them. If you must order at leas
one of each type of table, how many of each type of table should you order if you want to minimize your
cost?
a. 50 of type A
40 of type B
b. 34 of type A
56 of type B
C. 56 of type A
34 of type B
d. 40 of type A
50 of type B

Answers

The correct answer is (C)

Can someone please help me I will mark u brilliant

Answers

Answer:

c is correct

Step-by-step explanation:

3.6 with a bar above means 3.6666666666.. continuing forever which is smaller then 3.7

Answer:

C. 7.6 < 7.67

A right cylindrical vase holds 2.50 L of water. If the radius of the vase is 9.00 cm, what is the height of
the vase, rounded to the nearest hundredth of a centimeter? (Note: 1 cm3 = 0.001L)
No website plzzz

Answers

Answer: 9.82cm

Step-by-step explanation:

please answer the following question in the picture:

Answers

Answer:

86 degrees

Hope this helps!

180-135°=45°

the other angle is congruent to angle 49° so it is 49°

180-45-49=86°

<yxz=86°

Which angle measures 180

Answers

The answer is D.
The others equal 90

Answer:

D

Step-by-step explanation:

An angle that measures 180 degrees resembles a straight line.

A is greater than 90 degrees but less than 180 degrees.

B is less than 90 degrees.

C is equal to 90 degrees.

D is equal to 180 degrees.

It takes 4 3/4 hours to print some letters when 7 printers are used.
Work out the time taken to print the letters when 3 printers are used.
Give your answer in hours and minutes.​

Answers

Answer: This is what I could figure out

Step-by-step explanation:

The amount of time taken to print by 3 printers is 2¹/₂₈ hours.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that It takes 4³/₄ hours to print some letters when 7 printers are used.

The amount of time will be calculated as,

Time = ( 4³/₄ x 3 )  ÷ 7

Time = (19 / 4 x 3 )  ÷ 7

Time =  57 / 28

Time = 2¹/₂₈ hours

To know more about an expression follow

https://brainly.com/question/27713615

#SPJ2

A man's monthly salary was decreased in the ratio of 7:2, he was paid N625. How much was his original salary.

Answers

Answer:

15

Step-by-step explanation:

How many solutions does the following system have?

y = 4x + 6
y = 4x + 12

A. One Solution
B. Infinitely many solutions
C. No Solution
D. Two Solutions

I WILL MARK BRAINLEST IF YOUR ANSWER IS CORRECT!!!!

Answers

Answer: no solution

Step-by-step explanation:

how do i write my algebra equations on my computer

Answers

To type an equation from scratch, press Alt += on your keyboard. Choose Insert > Equation and select Insert New Equation from the bottom of the built in equation gallery. This inserts an equation placeholder where you can type your equation. Select the equation you want to add. Choose the down arrow and select Save as New Equation....
If you need the pi sign just look up a copy and paste version of it.

But you type it how you write it other then that .

For example : 3x^2+5x^4-6y^3+6x-1= whatever

The ^ shows that your writing a number with a exponent attached to it

So if a expression has exponents just write out 3x^4

What is the surface area of the sphere below?
5
O A. 125r units2
B. 100% units2
C. 125% 3 units2
D. Cannot be determined

Answers

The surface area is B

Answer is :B
Explanation :radius of sphere :5 units
Surface areas of sphere :4
S=4(pie)(5)^2
S=4x(pie)x25
S=100(pie) units 2

what is the scientific notation if 36000x10^-8? ​

Answers

Answer:

3.6 * 10^-4

Step-by-step explanation:

36000x10^-8

The number must be between 1 and 10

36000.

Move the decimal 4 places to the left, so add 4 to the exponent

3.6 * 10^(-8+4)

3.6 * 10^-4

Answer:

the scientific notation of

[tex] 36000×10^{-8}=36000/100000000=3.6×10^{4}/10^{-8}[/tex]

[tex]=3.6×10^{4-8}=3.6*10^{-4}[/tex]

landon painted a shape that had 4 sides. The shape has 4 angles. What kind of shape did he paint?

Answers

Answer:

A quadrilateral.

Step-by-step explanation:

A quadrilateral has four sides and four angles. For example, a square is a quadrilateral because it has four sides and angles.

Calcula el 28% de 375

Answers

Answer: 105

Step-by-step explanation:

28% es 0.28 en decimal

28% de 375 es 375 x 0.28

375 x 0.28 = 105

Answer:

105

Step-by-step explanation:

[tex]\frac{y}{375} :\frac{28}{100}[/tex]

y × 100 = 28 × 375

100y = 10500

100y ÷ 100 = 10500 ÷ 100

y = 105

What is a reasonable prediction? Please help! :(

Answers

Answer:

A estimated guess based off past information not some random number

Step-by-step explanation:

Example:

Make a reasonable prediction on if we will have school tomorrow. We are expecting a foot of snow.

Reasonable: We most likely won't because it will be cold and snowing. And it won't be safe.

Not Reasonable: We will because it will be sunny

16x2 + 4y2 -32x + 16y -32= 0

Answers

I think the answer is 3y=4
(x+3)^2 + (y-1)^2
4 16




)
2
16
=
1
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