12. In a poll taken in March of 2007, Gallup asked 1006 national adults whether they were
baseball fans. 36% said they were. A year previously 37% of a smaller sample had
reported being baseball fans.
a. Find and interpret a 90% confidence interval for the 2007 poll.
b. Would the margin of error be larger or smaller for a 99% confidence interval?
C. Find and interpret a 98% confidence interval.

Answers

Answer 1

The margin of error of the 90% confidence interval will be 0.024 and it increases when there's a higher confidence interval.

How to calculate the confidence interval?

The margin of error of the 99% confidence interval will be:

= 1.645 × [✓0.36(1 - 0.36)/1006

= 0.024

The margin of error for a 99% confidence interval will be calculated thus:

= 2.576 × [✓0.36(1 - 0.36)/1006

= 0.03898

This implies that margin error increases when there's a higher confidence interval.

Learn more about confidence interval on:

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Related Questions

(100 POINTS AND BRAINLIEST) Please use the answers that are given. Using the following data, calculate the mean absolute deviation
What is the mean absolute deviation for these data? DATA:
1 6 5 8 3 7 1 4 10 9

A: 9
B: 5.4
C: 5
D: 2.6

Answers

Answer:

2.42

Step-by-step explanation:

First, we need to find the mean

Add up all the number

1+6+5+8+3+7+1+4+10+9 = 54

Count up all the numbers (found in data)

10

Then, divide

54/10 = 5.4

Then find the absolute difference between each point and the mean and sum them together  and divide by the number of points

((5.4-1)+(5.4-6)+(5.4-5)+(8-5.4)+(5.4-3)+(7-5.4)+(5.4-1)+(5.4-4)+(10-5.4)+(5.3-9)) ÷ 10

24.2 ÷ 10 = 2.42

2.42

Answer:

2.42

Step-by-step explanation:

please help me with B im stuck

Answers

Answer:

A = 160

Step-by-step explanation:

Formula 1/2 d1d2

1/2 (16 x 20)

320 x 1/2 OR 320/2

=160

Hope this helps :)

please help!
complete the net worth statement by determining the total assets and total liabilities. what is the net worth?
A) $178,000
B) $180,338
C) $1,052,662
D) $1,233,000

Answers

Using it's concept, it is found that his net worth is given by:

C) $1,052,662

What is the net worth of an individual?

It is given by the sum of the individual assets subtracted by the sum of it's liabilities.

In this problem:

The sum of his assets is of $178,000 + $1,055,000 = $1,233,000.The sum of his liabilities is of $145,908 + $34,430 = $180,338.

Hence, his net worth is given by:

Net worth = $1,233,000 - $180,338 = $1,052,662.

Which means that option C is correct.

More can be learned about net worth at https://brainly.com/question/27218751

A salesperson receives a 2.5% commission on sales what commission does the person receive for $8,000 in sales. ​

Answers

Answer:

8000 * 1.025 = 8200

commision = 200

Step-by-step explanation:

What is the slope of the line that passes through the points (-4, 13) and (6, -17)

Answers

the slope is -3 if you use the formula (y2-y1)/(x2-x1)

How do i solve this?

Answers

[tex]\text{Given that, f(x) = 2x+5}\\\\f(-1) = 2(-1)+5 = -2+5= 3\\\\f(2) = 2(2)+5 = 4+5 = 9\\\\f(0) =2(0)+5 = 0+5=5\\\\f(z) = 2z+5[/tex]

The total cost of 8 sharpeners and 3 sketchbooks is $26.05. If the cost of a sharpener is $a, and a sketchbook is $1.90 more expensive,
find A. Give your answer to two decimal places.

Answers

Answer:

1.85

Step-by-step explanation:

So, s (sketchbook) is a+1.90.

8a+ 3(a+1.90)=26.05

8a+3a+5.7=26.05

11a=20.35

a=1.85

Check:

8x1.85=14.8

s=11.25

Answer:

A= 1.85

Step-by-step explanation:

I made an equasion

8(a) + 3(a+1.90) = 26.05

distributed

8a+ 3a + 5.70 = 26.05

Added

11a+ 5.70= 26.05

subtracted

11a= 20.35

divided

a= 1.85

how to compare 10.5 to 11 and 19

Answers

Answer:

Line up the decimal points. **Answer is Least to greatest: 10.5 , 11, 19**

Step-by-step explanation:

You need to line each number up.

10.5

11.0

19.0

The reason why 11 and 19 have a decimal point and zero at the end is because you need to do that in order to compare the numbers.

This problem is also a little common sense because 10.5 is the smallest, 19 is the largest while 11 is in the middle.

Sloane kicked a soccer ball off the ground at a speed of 48 feet per second. the height of the ball can be represented by the function h(t) = −16t2 48t, where t is the time in seconds. how many seconds did the ball travel before returning the ground? t = 0.33 seconds t = 3 seconds t = 16 seconds t = 48 seconds

Answers

Considering the function for it's height, it is found that the ball traveled for 3 seconds before returning to the ground.

What is the function for the ball's height?

The height of the ball after t seconds is given by:

h(t) = -16t² + 48t.

It is at the ground at the instants of t for which:

h(t) = 0.

Hence:

-16t² + 48t = 0

-16t(t - 3) = 0.

We want t different of 0, hence:

t - 3 = 0 -> t = 3.

The ball traveled for 3 seconds before returning to the ground.

More can be learned about functions at https://brainly.com/question/25537936

Answer:

3 seconds is the answer

Step-by-step explanation:

Given the set of data below. 1 /2 , 1 /2 , 3 /2 , 3 /2​

Answers

What’s the question it doesn’t say

Ava invests money in an account paying simple interest. She invests $130 and no money is added or removed from the investment. After one year, she has $132.60. What is the simple percent interest per year?

Answers

well, she put 130 bucks, and then she got back 132.6 after one year, so the interest earned is 132.6 - 130 = $2.6, thus

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$2.60\\ P=\textit{original amount deposited}\dotfill & \$130\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &1 \end{cases} \\\\\\ 2.60 = (130)(\frac{r}{100})(1)\implies 2.6=\cfrac{130r}{100}\implies 260=130r \\\\\\ \cfrac{260}{130}=r\implies 2=r[/tex]

Answer:

yes

Step-by-step explanation:

HURRY I GOT ONLY 1 MIN!!!!

How are a cylinder and a prism similar?

They both have lateral faces.
They both have vertices.
They both have two bases.
They both have polygon bases.

Answers

Answer:

They both have polygon bases

Step-by-step explanation:

Hope this helps :)

The following are the temperatures in °C for the first 10 days in January:

-0.1, 3.5, 6.4, 3.8. 4.7, 76, 4.7, 8.1, -1.8, -8

Calculate the range.
Give your answer as a decimal. ​

Answers

Answer:

84.0

Step-by-step explanation:

Range: Highest value - lowest value

Highest value: 76

Lowest value: -8

= 76 - (-8)

= 84

= 84.0

20. What is the area in square feet of the sidewalk shown

below? Round off to the next largest foot.

Answers

Answer:

it doesnt say any numbers or pictures of the question can you add them

1 20 points Which statement describes an example of causation? When the wather becomes warmer, more meat is purchased at the supermarket. More people go to the mall when students go back to school. The greater the number of new television shows, the lesser the number of moviegoers. After operating costs are paid to a toy shop, as more toys are sold, more money is made.​

Answers

Answer:

after operating costs are paid to a toy shop, as more toys are sold, more money is made

a rectangular shoebox has a volume of 160 cubic inches. the base of the shoebox measures 8 inches by 5 inches. how long is the shoebox?

Answers

Volume = w*h*d
8*5*d = 160
D= 160/40
D=4

Six right triangles are shown. Each side of each triangle is also the side of a square.

Answers

The area of the small triangle in six right triangles are shown is 1/25 units² and the area of the small square is 1 units².

What is the area of square?

Area of square is the square of its sides length. It can be given as,

A=a^2

Here, (a) is the length of the side of the square

The legs of the smallest triangle is 1-1 units long. Thus, the area of this triangle is,

[tex]A=\dfrac{1\times1}{2}\\A=\dfrac{1}{2}\rm\; unit^2[/tex]

The area of small squares with side 1 is,

[tex]A=1^2\\A=1 \rm \;unit^2[/tex]

Pythagoras theorem says that in a right angle triangle, the square of the hypotenuse side is equal to the sum of the square of other two legs of the right angle triangle.

The hypotenuse side length of this triangle is,

[tex]h=\sqrt{1^2+1^2}\\h=\sqrt{2}[/tex]

Thus, the area of the square with √2 side is,

[tex]A=\sqrt{2}^2\\A=2\rm\; unit^2[/tex]

Similarly, the area of all the squares and triangle with the different sides can be found out.

Thus, the area of the small triangle in six right triangles are shown is 1/25 units² and the area of the small square is 1 units².

Learn more about the area of square here;

https://brainly.com/question/1658516

#SPJ1

if the circumference of a round plate is a little over 31 inches. Estimate the diameter of the plate

Answers

Answer:

Step-by-step explanation:

diameter = circumference / π

= 31/π

= 9.9 ins to nearest tenth

express the following rational algebraic expression to its simple form.show your solution​

2. 3×-12/ 5× - 20​

Answers

Question

express the following rational algebraic expression to its simple form.show your solution2. 3 × - 12 / 5 × - 20

Answer

[tex]→ \frac{3 \times - 12}{5 \times - 20} \\ [/tex]

[tex] \sf \: solution→ \sf \: factor \: the \: expression \: \frac{7(a + b)}{ {a}^{2} - b } \\ [/tex]

[tex] \sf \red{ answer \: is→ \frac{9}{a - b}} \\ [/tex]

A cylinder has volume 45 pie and radius 3. What is its height?

Answers

Answer:

5 units

Step-by-step explanation:

The volume of the cylinder is the area of the circle multiplied by it's height. Therefore, the volume of the cylinder is πr² × h, which when simplified, gives us πr²h. Let's substitute the volume and the radius in the formula to find the height.

⇒ πr²h = Volume of cylinder

⇒ (π)(3²)(h) = 45π

Now, simplify the equation to evaluate the area of the cylinder.

⇒ (π)(3²)(h)/(3²)(π) = 45π/(3²)(π)

⇒ (h) = 45π/(9)(π) = 45/(9) = 5 units

A shoebox has a volume of 64 in.³ and a surface area of 160 in.² what is the surface area of a similar shoe box if its volume is only 27 in.³ show your work or explain how you got your answer

Answers

Answer:

90 in²

shoebox:

volume = 64 in³surface area = 160 in²

Another shoebox:

volume = 27 in³surface area = x in²

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

[tex]\sf (\dfrac{area1}{area2})^3 = (\dfrac{volume1}{volume2} )^2[/tex]

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

[tex]\sf \hookrightarrow (\dfrac{x}{160})^3 = (\dfrac{27}{64} )^2[/tex]

[tex]\sf \hookrightarrow \dfrac{x^3}{160^3} = \dfrac{27^2}{64^2}[/tex]

[tex]\sf \hookrightarrow \ x^3 = \dfrac{729*4096000}{4096}[/tex]

[tex]\sf \hookrightarrow \ x^3 = 729000[/tex]

[tex]\sf \hookrightarrow \ x = \sqrt[3]{729000}[/tex]

[tex]\sf \hookrightarrow \ x = 90[/tex]

Find the surface area of the triangular prism shown below.

Answers

the surface area should be 544 (whatever the unit is)

Step-by-step explanation:

You start by taking the rectangles on the side and finding their area.

1. (10×14)×2 ←Because there are two rectanglular sides.

2. find the area of the triangles on the side. 1/2bh = area of triangle.

(.5×8×6)×4 ← in order to find the area for all of the triangles.

3.  lastly take the base of the prism and find the area then add the previously found values together.

(12×14)+(.5×8×6)×4+ (10×14)×2 = 544

Given that k // I, identify the congruent angles in the
triangles.
212
v
m
22
v
23

Answers

V 23 is the correct answer

HELPPPP PLEASEEE!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

I can't see the full question but as far as I can tell

by the picture

x=100

What do you think scalene means ?

Answers

Answer:

When you have a scalene triangle, the angles are less than 90 degrees, same as obtuse where the angles are bigger than 90 degrees.


PLEASE HELP ME OUT AND PLEASE

Answers

Answer:

65⁰ because the opposite angles of parallelogram are equal...

Helppppp pls
I don’t understand I’ll give brainliest

Answers

Answer:

m∠5 = 75°

Step-by-step explanation:

Angle 2 and Angle 4 are the same as they are alternate interior angles.

Since m∠2 = 45°

We then have m∠4 = 45°

We are given m∠3 = 60°

Now, we just have to find 7∠5.

The sum of the angle of a triangle adds up to 180°.

So, m∠3 + m∠4 + m∠5 = 180°.

60° + 45° + m∠5 = 180°.

Solving for ∠5

m∠5  = 180° - (60° + 45°)

m∠5 = 180° - (105°)

m∠5 = 75°

The area of a rectangle is
3/8 in and the length is 5/8 What is the width?

Answers

Answer:

The width W is :

[tex]W=\frac{3}{5}[/tex]

Step-by-step explanation:

Let A be the area of the rectangle

Let L be the length of the rectangle

Let W be the width of the rectangle

______

Formula:

A = L × W

__________

[tex]\begin{aligned}A &=L \times W \\\Rightarrow W &=\frac{A}{L} \\\Rightarrow W &=\frac{\frac{3}{8}}{\frac{5}{8}} \\&=\frac{3}{8} \times \frac{8}{5} \\&=\frac{3 \times 8}{8 \times 5} \\&=\frac{3}{5}\end{aligned}[/tex]

Answer the one you would like!

Answers

first pic no 13

sec no 14

third no 15

shjdidifjie

Solve the system of equations using elimination: -4x+6y = − 12 and
-x - 5y = -16.

Answers

Answer:

x=x

Step-by-step explanation:

x=x because x has the same value as x

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