Experts believe the rate of obesity (defined as having a BMI greater than 30) of adults in the United States is approximately 24.5%. A Gallup poll examined the rate of obesity in adults in the United States with a survey of 86,664 randomly sampled U.S. adults. Of the adults surveyed, 23,053 said that they were obese. The shape of the sampling distribution for the sample proportion when taking samples of size 86,664 from this population follows a ____________ distribution.

Answers

Answer 1

Answer:

Normal distribution.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

In this question:

Samples larger than 30, which means that the sampling distribution for the sample proportion follows a normal distribution.


Related Questions

How to you draw 1/2 slope on a graph?​

Answers

Answer:

the coordiantes for the first few are (0,0) (2,1) (4,2) (6,3) etc

Step-by-step explanation:

On Friday,
1
6
of band practice was spent trying on uniforms. The band spent
1
9
of practice on marching. The remaining practice time was spent playing music.

What fraction of practice time was spent playing music?

Answers

1-1/6-1/9=3/18

I hope it's correct:))

What is one of the best methods to multiply these binomials: (x+8)(x+7)

A Use the quadratic formula
B Take the square root of both sides
C Distribute everything and one set parentheses to the other set
D Factor out the GCF

Answers

The answer is C, you can do this by doing FOIL

Answer:

A for me

Step-by-step explanation:

hope that helps you

I need help with this question please

Answers

9514 1404 393

Answer:

  y = -x -2

Step-by-step explanation:

The line crosses the y-axis at y = -2, so that is the y-intercept.

The slope is the ratio of "rise" to "run." The points on the graph show a "rise" of -3 for a "run" of 3.

  m = rise/run = -3/3 = -1

Then the slope-intercept equation is ...

  y = mx +b . . . . . slope m, y-intercept b

  y = -x -2 . . . . . . . using m=-1, b=-2


Find dy/dx
for 4 tan^2x - xy^2= sin2y by using implicit differentiation

Answers

Answer:

Y=bx+c

Step-by-step explanation:

That should be right

Answer:

Y=bx+c

Step-by-step explanation:

What is the answer please help no links please help

Answers

The correct answer would be 380

VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.

Answers

Answer:

The third answer. Above none.

Step-by-step explanation:

Its flipped 180(completely upside down) and located directly below.

Answer:

6,3

Step-by-step explanation:

April can buy a package of 8 folders for $2.40. What is the unit price for this package?

Answers

Answer:

0.3

Step-by-step explanation:

to get the unit rate you must divided

2.40 by 8

2.40/8=0.3

what % of 4 is 7

i need this to be answered as quickly as possible please

Answers

Answer:

the answer

= 17.5

Step-by-step explanation:

https://www.percentagecal.com/answer/.7-is-what-percent-of-4#:~:text=Percentage%20Calculator%3A%20.,%3D%2017.5

Whose statement makes sense? Whose statement is nonsense?
Complete the explanation.

Zach's Statement: 1 pint is - 1/4 of a gallon.


Angela's Statement: 1 pint is - 1/8 of a gallon

Answers

Answer:

34

Step-by-step explanation:

Please Help Me Fast.
FAST FAST FAST

Answers

Answer:

Easy it's 40

Step-by-step explanation:

I think it's 40 because the other numbers are all with in the range of 10-20 except 40.

Answer:

Answer is 40! :)

What's 1+1=? Pls help

Answers

Answer:

2

Step-by-step explanation:

USE A CALCULATOR OR USE YOUR FINGERS

Answer: I-i think its 8... wait no its 2!

Step-by-step explanation:

A classroom had 16 computers. If the ratio of computers to ipads was 4 : 5, how many ipads does the classroom have?

Answers

Answer:

20 ipads

Step-by-step explanation:

The ratio is 4 : 5

      4:5

*4             *4

   16c :20i

16 Computers and 20 Ipads.

20 iPads

4 computers : 5 iPads is the ratio

16 computers means we’re multiplying the ratio x 4. 5x4 = 20

You can also set it up to cross-multiply and divide:

4/5 = 16/x
4x = 80
x = 20

find the value of x

HELP please !

Answers

Answer:

116+34+x=180

150+x=180

x=180-150

x=30

Write an equation for a circle that follows the same pattern as the other circles. Explain how your equation follows the same pattern you identified.

Answers

9514 1404 393

Answer:

  (x -4)² +(y +3)³ = 4

Step-by-step explanation:

Each circle is centered on (h, k) = (4, -3). Each circle has a radius 1 unit smaller than the circle just outside of it. The innermost circle shown has a radius of 3, so the next in the pattern of smaller circles will have a radius of 2. The equation for a circle centered at (h, k) with radius r is ...

  (x -h)² +(y -k)² = r²

The next circle in the pattern is centered at (4, -3) and has radius 2, so its equation is ...

  (x -4)² +(y +3)² = 4

Which is the solution to the equation
below?
-3=t- 12
A-9
C 9
B 4
D 15

Answers

ANSWER:
9 (C)

hope this helps

helpppppppppppppppppppp

Answers

Answer:

c

Step-by-step explanation:

The answer is c). X>-5

a rectangle has an area of 140. length is 4 feet longer than the width. I need to find the length and the width

Answers

Answer:

140=(w+4)×w

140=w²+4w

w²+4w-140

w=10

l=w+4

l=14

Tatia is helping her mother make pancakes. Tatia's mother told
her to put 6 half-cups of pancake mix into the bowl. How much
pancake mix is in the bowl?

Answers

There are 3 cups of pancake mix in the bowl

Help pls i'm stuck on this helppp

Answers

Answer:

1) is equivalent multiply by 6

2) is equivalent multiply by 2 to 5/2

Matt is baking cookies.

He uses butter, sugar and flour in a ratio of 2 : 3 : 4

Matt uses 300 g of flour.

How much sugar does he use?

Answers

I am certain it is

200g butter
300g flour
400g sugar

5. In a right triangle, the sum of the lengths of the two legs is 100 meters. What are the lengths of the three sides
of this right triangle if the triangle's area is maxed out?

Answers

Answer:

6m by 8m by 10m

Step-by-step explanation:

6²+8²= 100

36+64=100

100=100

If there are 2.54 centimeters in one inch, how many square centimeters are in one square inch? Hint: It is not 2.54! How is determining this conversion ratio related to linear and area scale factors for similar shapes?​

Answers

Answer: It is related because linear scale factors are also squared for area scale factors.

Step-by-step explanation: Imagine two squares, which are similar (all squares are similar), and one has a side length of two and other has a side length of four. The length ratio is 1:2. But if you calculate the areas the area ratio is 1:4, which is the linear scale factor of two squared to get to 4

Which following relations represent a function

Answers

Answer:

I think that actually all of them represent a function , except D .

hope it was helpful .

Find the value of x.


help please !

Answers

Answer:

33

Step-by-step explanation:

The sum of the three interior angles in a triangle is ALWAYS equivalent to 180 degrees.

69 + 78 = 147

180 - 147 = 33

Hope this is helpful & accurate! Best wishes.

Please help, its my homework and I really need this done

Answers

Answer:

Surface area of cylinder = 91.2π cm²

Volume of cylinder = 57.6π cm³

Step-by-step explanation:

Given:

Height of cylinder = 1.6 cm

Radius of cylinder = 6 cm

Find:

Surface area of cylinder

Volume of cylinder

Computation:

Surface area of cylinder = 2πr[h+r]

Surface area of cylinder = 2π(6)[1.6+6]

Surface area of cylinder = 2π(6)(7.6)

Surface area of cylinder = 91.2π cm²

Volume of cylinder = πr²h

Volume of cylinder = π(6)²(1.6)

Volume of cylinder = π(36)(1.6)

Volume of cylinder = 57.6π cm³

List the kinds of measurements have you worked with so far. Describe what area is. Describe what volume is.

How could you find the combined area of all faces of a three-dimensional shape? Give an example of why that would be a good measurement to know.

Answers

Answer: length, width, and hight

hope this helps \( ̄︶ ̄*\))

The perimeter of a rectangle is 56mm. Three of the sides have a length of 15mm, 13mm, and 15mm. What is the side length?

Answers

Answer and working out attached below. Hope it helps

A fruit basket is filled with eight bananas, three oranges, five apples, and six Keewee ‘s.

Answers

Answer:

A. bananas

Step-by-step explanation:

6-3= 3

8-4= 4

3-3= 0

4-4= 0

Solve the Following inequality by choosing all of Possible range of Values that make the Statement True.

2 (x) + 12 ≤ 30

Group of answer choices

9, 10, 11

7, 8, 9

-7, -8, -9

9.001, 9.002, 9.003

Answers

Answer:

7, 8, 9

-7, -8, -9

Step-by-step explanation:

2(x) + 12 ≤ 30

2x + 12 ≤ 30

2x ≤ 30 - 12

2x ≤ 18

x ≤ 9

x has to be less than OR equal to 9

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