A public health department wants to determine the rate that parents of teen boys are choosing to vaccinate their sons for HPV within the state of Indiana. They conduct a survey of 64 randomly selected families of teen boys.They found that 12% of families had chosen to vaccinate. Which of the following is true?A. The 95% confidence interval is 12% ± the margin of error*standard deviationB. The confidence interval should not be calculated due to the small sample sizeC. A 99% confidence interval will be smaller than the 90% confidence intervalD. The central limit theorem applies to proportions only when the population standard deviation is known

Answers

Answer 1

Answer:

The correct option is  B

Step-by-step explanation:

From the question we are told that

   The  sample size is  [tex]n  =  64[/tex]

    The  proportion that choose to vaccinate the teen boys is  [tex]\r p =  0.12[/tex]

considering the first statement

The 95% confidence interval is 12% ± the margin of error*standard deviation is  false because

The 95% confidence interval is is  %12 ± the margin of error

considering the second statement

The confidence interval should not be calculated due to the small sample size is true because from the central limit theorem

   np =  64 * 0.12 =  7.68

and this value is  less than 10  hence the confidence interval should not be calculated

considering the third statement

A 99% confidence interval will be smaller than the 90% confidence interval is false

  This is because as the confidence level increase (for example  from 90% to  99%) the margin of error increase which increases the confidence interval  

 


Related Questions

A pyramid has a square base with an area of 169 ft.2. What is the perimeter of the base of the pyramid?

Answers

Answer:338

Step-by-step explanation:

169/2 = 84.5 (base is 84.5) 84.5 * 4 (sides) = 338

Answer:

:)

Step-by-step explanation:

52

Sq rt(169) - 13

13 is the side length

13*4=52

a parallelogram has a base of 9 units and an area of 12 square units. what is the corresponding height for the base

Answers

1 What is one into one? 1

The length of a rectangle is 3 less than twice the width. The perimeter of the rectangle is 66. Find the length and width of the rectangle.

Answers

Answer:

(2w-3)2+2w=66

4w-6+2w=66

6w=66+6

6w=72

w=12

l=24-3

l=21

What does "K" stand for for proportinial relationships

Answers

Answer:

y/x = k

Step-by-step explanation:

K is the constant of proportionality.

one more than a number

Answers

Answer:

x+1

Step-by-step explanation:

Marco spent $85.43 on a new pair of
shoes, $21 on a t-shirt, and $7.84 on a
pair of socks. If he gave the sales clerk
$120, how much change should he
receive?

Answers

Answer:

5.73

Step-by-step explanation:

Answer:

He should have $5.73 as change

Step-by-step explanation:

First add 85.43 with 21 and 7.84 and then do 120 - 114.27.

Find the linear function with the following properties.

f(−4)=6
Slope of f=−6

Answers

Given:

f(−4)=6

Slope of f=−6

To find:

The linear function with the given properties.

Solution:

We have,

f(−4)=6

It means, the value of linear function is 6 at x=-4. So, the linear function passes through the point (-4,6).

Slope of f=−6

The point slope form of a linear function is

[tex]y-y_1=m(x-x_1)[/tex]

where, m is slope of the linear function.

On substituting the values, we get

[tex]y-6=(-6)(x-(-4))[/tex]

[tex]y-6=-6(x+4)[/tex]

[tex]y-6=-6x-24[/tex]

Add 6 on both sides.

[tex]y-6+6=-6x-24+6[/tex]

[tex]y=-6x-18[/tex]

The function form of this linear equation is

[tex]f(x)=-6x-18[/tex]

Therefore, the required function is [tex]f(x)=-6x-18[/tex].

A survey was conducted of students at a high school and at a college to determine students' favorite subjects. The results are shown on the table.

Answers

Answer:

Step-by-step explanation:

Answer:

The answer is 35%

Jessie enjoys running every day for exercise. On Monday, he ran 3.30 miles. On Tuesday, he ran 3.09 miles. On Wednesday, he ran 2.98 miles. On what day did Jessie run the farthest? *

Answers

Answer:

monday

Step-by-step explanation:

He ran the farthest on Monday, since 3.3 is greater than 3.09 and 2.98.


Reason abstractly. Are all horizontal lines parallel? Use slope
explain how you know.

Answers

Answer:

All horizontal lines are NOT parallel.

Step-by-step explanation:

We learned that lines go on forever.  

If one line is slightly slanted, and the other line is completely straight,  these lines are not parallel, as they will meet at some point.

Hope this helped :)

Justin owns a food truck that sells tacos and burritos. He only has enough supplies to make 110 tacos or burritos. He sells each taco for $3.25 and each burrito for $5.75. Justin must sell a minimum of $520 worth of tacos and burritos each day. If 39 tacos were sold, determine the maximum number of burritos that the Justin could sell that would meet the requirements. If there are no possible solutions, submit an empty answer.

Answers

Answer:

788

Step-by-step explanation:

Need to evaluate 256 and fraction 1/4

Answers

Answer:

256fraction=1/4

256÷4=64

64 answer this fraction

Estimate . Then find sum 25,211 plus 9,517

Answers

Answer: 34,728

Step-by-step explanation:

All your going to want to do here is add both numbers, and you will get your answer of 34,728. Hope this helps!

y=2/5xt 10 the rate of change and y intercept

Answers

Answer:

Below

Step-by-step explanation:

Rate of change (aka the slope) = 2/5

Y Intercept = 10

Graph f(x) =2/3x-3
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

f(x)=2/3.3=1/6=0,2

f(x)=0,2

(5,9), (5-3)
what is the slope?

Answers

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

When you want to find out what the slope is, you have to remember what the formula is first....

[tex]m=\frac{y}{x} =\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

so in this case -3 would be the [tex]y_{2}[/tex] because it's the y in the ordered pair and it's the second one. Then one of the 5's would be [tex]x_{2}[/tex] and 9 would be [tex]y_{1}[/tex] and then the other 5 would be [tex]x_{1}[/tex].

now if we plug it in

[tex]\frac{-3-9}{5-5} =\frac{-12}{0}[/tex]

now we can tell that we can't divide by zero so the slope would be unidentified and that's it.

Simplify the expression.
(5+i)(2-7i)

Answers

Answer:

17-33i

Step-by-step explanation:

Multiply using the foil method than combined the real and imaginary parts of the expression

7/10;1/3;5/6 ayuda es de matemáticas

Answers

Answer:

0.7 1/3 0.8333 repeating yo no hablo espanol

Step-by-step explanation:

7 / 10 is 0.7 , 1 / 3 is 1/3, 5 /6 is 0.8333 repeating

Find the 125% of 600lb

Answers

It is 750; in order to find the percentage, you would do 1.25•600, which equals 750.

Answer:

750

Step-by-step explanation:

of means multiply

125% * 600

change to decimal form

1.25 * 600

750

PLEASE SOME1 ANSWER FAST PLS!

Answers

Answer:

30.30

Step-by-step explanation:

solve on the calculator

Combine Like Terms. 2 x 2 − x 2 + 3 x 2 2x 2 −x 2 +3x 2

Answers

Answer:

The answer is 4x(exponent of 2)

Step-by-step explanation:

Maggie's brother is 5 years younger than twice her age. The sum of their ages is 22.
How old is Maggie?

Answers

Maggie is 9 years old

Answer:

9 years old

Step-by-step explanation:

Let maggie's age be m,

and let maggie's brother's age be b

b = 2m - 5,

m + b = 22

Substitute "2m - 5" for b in the second equation (substitution)

m + (2m - 5) = 22 -> Remove parenthesis

m + 2m - 5 = 22 -> Combine like terms

3m = 22 + 5 = 27 -> Divide either side by 3

m = 27/3 = 9

Solution: Maggie is 9 years old

Paper clips are sold in small boxes and in large boxes.
There is a total of 1115 paper clips in 4 small boxes and 5 large boxes.
There is a total of 530 paper clips in 3 small boxes and 2 large boxes.
Work out the number of paper clips in each small box and in each large box.

Answers

Answer:

Small boxes contain 60 paperclips and large boxes contain 175 paperclips.

Step-by-step explanation:

1. Set up two simultaneous equations:

Use s for small boxes and l for large boxes. (You could use any letters)

4s + 5l= 1115

3s + 2l= 530

2. Number the equations:

4s + 5l= 1115 (1)

3s + 2l= 530 (2)

3. Multiply both equations to get the same number of ls (for different questions the letters might be different):

(1) x 2:

8s + 10l= 2230 (3)

(2) x 5:

15s + 10l= 2650 (4)

4. Subtract one from the other to get rid of the ls:

(4) - (3)

  8s + 10l= 2230

- 15s + 10l= 2650

   7s        =420

5. Solve for s:

s= 420/7= 60

6. Substitute the s value into one of the original equations to find l:

4 x 60 + 5l= 1115

240 + 5l= 1115

5l= 1115 - 240

5l= 875

l= 875/5= 175

Which of the following examples has a unit rate of 12 yards per second? Select all that apply.

A) 48 yards in 8 seconds
B) 36 yards in 3 seconds
C) 144 yards in 12 seconds
D) 36 yards in 6 seconds
E) 60 yards in 5 seconds

Answers

B C and E have a unit rate of 12 yards or second

Bob is trying to see if his shadow is longer than Kevin’s. Kevin is 3 feet tall, and Bob is 2½ feet tall. Kevin’s shadow is 5 feet long. Help Bob find the length of his shadow

Answers

Given parameters:

Height of Kevin  = 3ft

Height of Bob = 2.5ft

Hieght of Kevin's shadow = 5ft

Unknown:

Length of Bob's shadow = ?

We can simply set up simple ratio to solve this problem.

 The ratio of Kevin's height to Bob's height is 3 : 2.5

  The ratio of their shadow should also be 5: Bob's shadow height

Equating the two of them should give a fairly constant ratio;

         [tex]\frac{3}{2.5} = \frac{5}{Bob}[/tex]  

            3Bob  = 5 x 2.5

 Bob's shadow height  = [tex]\frac{5 x 2.5}{3}[/tex]   = 4.2ft

The height of Bob's shadow is  4.2ft.

If jimmy has 3 billion dollars and subtracts a dollar how much does he have

Answers

Answer:

2,999,999

Step-by-step explanation:

2,999,999

Step-by-step explanation:

dont need a explanation its obvious

3x= 5 + 2(3 + 4x)
How to solve this?

Answers

Answer:

Step-by-step explanation:

Simplifying

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

3x = 5 + (3 * 2 + 4x * 2)

3x = 5 + (6 + 8x)

Combine like terms: 5 + 6 = 11

3x = 11 + 8x

Solving

3x = 11 + 8x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8x' to each side of the equation.

3x + -8x = 11 + 8x + -8x

Combine like terms: 3x + -8x = -5x

-5x = 11 + 8x + -8x

Combine like terms: 8x + -8x = 0

-5x = 11 + 0

-5x = 11

Divide each side by '-5'.

x = -2.2

Simplifying

x = -2.2

Answer:

x = -11/5

Step-by-step explanation:

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

~Distribute left side

3x = 5 + 6 + 8x

~Combine like terms on the left side

3x = 11 + 8x

~Subtract 8x to both sides

-5x = 11

~Divide -5 to both sides

x = -11/5

Best of Luck!

Over what interval is the graph of y=−2 +|x− 2| increasing?
a. (2, ∞)

b. (−2, ∞)

c. (−∞, −2)

d. (−∞, 2)

Answers

Answer:

(2, ∞)

Step-by-step explanation:

An absolute value graph at (0, 0) is an up facing V shape graph. After a few transformation, according to the equation y = −2 + |x− 2|, we have our vertex at (0, - 2). It remains at up facing V graph.

x - h,

x - 2,

x - (+ 2),

h = 2

Therefore our slope is 2, with out vertex at (0, - 2). If we plot our graph, you can see that on the interval (2, ∞) the graph increases...

In math what number acts like a switch

Answers

What this question make no sense

I need help on this one please

Answers

Answer:

it is D

Step-by-step explanation:

just reflect by y=-1 its easy

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