A magazine provided results from a poll of 2000 adults who were asked to identify their favorite pie. Among the 2000 ​respondents, 14​% chose chocolate​ pie, and the margin of error was given as 4 percentage points. Given specific sample​ data, which confidence interval is​ wider: the 90​% confidence interval or the ​80% confidence​ interval? Why is it​ wider?

Answers

Answer 1

Between 95% confidence interval and 80% confidence interval, 95% confidence interval is wider than 80% confidence interval.

Given two confidence interval 95% and 80%.

For a given sample data, each confidence interval have different width.

This is because the critical value associated with the confidence level becomes larger as the confidence level is increased which results in an increased interval.

Confidence interval is the range of estimate.

The confidence interval for a population proportion can be found by the following formula:

p±[tex]\sqrt{(pq)/n}[/tex]

The value of z will be wider if the value of p,q are greater.

Hence 95% confidence interval will be wider than 80% confidence interval.

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Related Questions

If a varies directly as the cube root of b and if a=3 and b=64.find the formula connecting the variables hence find b when a=15/4

Answers

Answer:

b = 125

Step-by-step explanation:

Given a varies directly as [tex]\sqrt[3]{b}[/tex] then the equation relating them is

a = k[tex]\sqrt[3]{b}[/tex] ← k is the constant of variation

To find k use the condition a = 3 , b = 64 , then

3 = k[tex]\sqrt[3]{64}[/tex] = 4k ( divide both sides by 4 )

[tex]\frac{3}{4}[/tex] = k

a = [tex]\frac{3}{4}[/tex] [tex]\sqrt[3]{b}[/tex] ← equation of variation

When a = [tex]\frac{15}{4}[/tex] , then

[tex]\frac{15}{4}[/tex] = [tex]\frac{3}{4}[/tex] [tex]\sqrt[3]{b}[/tex] ( multiply both sides by 4 to clear the fractions )

15 = 3[tex]\sqrt[3]{b}[/tex] ( divide both sides by 3 )

5 = [tex]\sqrt[3]{b}[/tex] , then

b = 5³ = 125

What is the first step in solving this equation :
2x - 7 = 19

Options :

A - Add 7 to both sides
B - Subtract 19 from both sides
C - Subtract 7 from both sides
D - Divide both sides by 2

Please help its due in 20 minutes!!​

Answers

the answer is:

2x = 19 + 7

2x= 26

x= 13

Simplify the following
(c) 2(а - 3) - 5[a - 2(a - 4)

Answers

Step-by-step explanation:

Let's simplify step-by-step.

2(a−3)−5a−2(a−4)

Distribute:

=(2)(a)+(2)(−3)+−5a+(−2)(a)+(−2)(−4)

=2a+−6+−5a+−2a+8

Combine Like Terms:

=2a+−6+−5a+−2a+8

=(2a+−5a+−2a)+(−6+8)

=−5a+2

The ratio of the measure of the sides of a triangle is 9:7:3. If the perimeter of the triangle is 266 inches, find the length of the shortest side. Help me please!!

Answers

Answer:

shortest side = 42 inches

Step-by-step explanation:

9x + 7x + 3x = 266

x = 14

3x = 42


Determine the value of x.
A) 4.96
B) 2.90
C) 11.62
D) 0.73

Answers

The value of x in the triangle is 11.62

How to solve for x?

The complete question is in the attached image

From the image, we have the following tangent function

tan(71) = x/4

Make x the subject

x = 4 * tan(71)

Evaluate the expression

x = 11.62

Hence, the value of x is 11.62

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Answer:

11.62

Step-by-step explanation:

took the test

Do you guys mine lending me a hand?

Answers

Answer:the answer is 146 or 126

Step-by-step explanation:

84+112+102+96=394 and a pentagon's degrees is 540

so you have to do 540-34=146

so that is 146

the answer is 146

9 (x - 2) = 7x + 5
Does x have a value hurry only 10 minutes left!!

Answers

Answer:

x = 11.5

Step-by-step explanation:

9 (x - 2) = 7x + 5

9x - 18 = 7x + 5

    +18          +18

9x = 7x + 23

-7x   - 7x

2x = 23

---    ---

2       2

x = 11.5

 

A circular bracelet has a radius of
5cm

Answers

Answer:

ye

Step-by-step explanation:

..

om need hjbhhbb points bbbvvghhhhjjnnnnnn

Answer:

la cantidas es 45 mas 8 ya ñara poder tener ka cagdlfenjelsflahevveyjew

Find the Slope of the line that passes through (5, -10) and (5, -4)
A. - 14/10
B. 10/14
C. 0
D. Undefined

Answers

the answer to this would be D. undefined, the slope is infinite. hope this helps!

11. Justin needs to rent a car to go on vacation. EnvoCar charges $65 and $0.10 per mile. FreedomRide charges $80 and $0.05 per mile.
_________________________
a. How much more does Freedom Ride charge for driving m miles than EnvoCar?
_________________________
b. If Justin’s round-trip distance is 250 miles, which car rental company should he rent from? Explain.

Answers

9514 1404 393

Answer:

  a) difference of charges is 15 -0.05m

  b) Justin should rent from EnvoCar

Step-by-step explanation:

a) EnvoCar charges ...

  c = 65 +0.10m . . . . . c = charge for m miles

FreedomRide charges ...

  c = 80 +0.05m

Then FreedomRide charges more by ...

  (80 +0.05m) -(65 +0.10m) = 15 -0.05m

__

b) If Justin's round-trip distance is 250 miles, the extra charge from FreedomRide is ...

  15 -0.05(250) = 2.50

For that distance, EnvoCar costs less. Justin should rent from EnvoCar.

_____

Additional comment

The additional charge from FreedomRide is zero when m=300. Above that mileage, FreedomRide charges less.

A store has a 20% off sale on pants. With this discount, the price of one pair of paints is $15.20. What was the original price of the pants?

Answers

$19. 19 x 0.8 = 15.2

In which of the following cases would you most likely buy a point when closing on a home loan?
a. The monthly payment is reduced by $8 and you plan to sell the home at the end of 3 years.
b. The monthly payment is reduced by $10 and you plan to sell the home at the end of 4 years.
The monthly payment is reduced by $12 and you plan to sell the home at the end of 5 years.
d. The monthly payment is reduced by $14 and you plan to sell the home at the end of 7 years.
C
Please select the best answer from the choices provided
Ο Α
C
B
0
C
OD

Answers

Answer:

d.The monthly payment is reduced by $14 and you plan to sell the home at the end of 7 years.

Step-by-step explanation:

d.The monthly payment is reduced by $14 and you plan to sell the home at the end of 7 years.Step-by-step explanation:

How do I make the pain go away?

Answers

What-.....?Uhh u good?

Suppose you write a system of equations to find out which of two video stores is cheaper to join, depending on the number of videos you will rent. You solve the system and find that it has infinitely many solutions. What would that mean in terms of the problem? A. One video store is more expensive than the other no matter how many videos are rented. B. One video store is cheaper up to a certain number of videos rented, and then the other is cheaper. C. Both video stores cost the same no matter how many videos are rented. D. The problem cannot be solved.

Answers

The right answer is c

If you graph a system of equations and they are intersect, they have no solution. True or False someone help pleaseee !!

Answers

Answer:

False

Step-by-step explanation:

If the graphs of the equations intersect, then there is one solution that is true for both equations. If the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both equations.

I hope this is correct.

Mind lending me a hand

Answers

Answer:

54

Step-by-step explanation:

55 + 74 + 78 + z + z + 45 = 360

252 + 2z = 360

2z = 108

z = 54

Answer: 288

Step-by-step explanation:

78+74+55=207

The degree of a pentagon is 540°

so 540-207=333

so z has to be 333 but the question says +45 and that would make 333 become 378 and we need to get exactly to 333 so the answer cant be 333 but a number that 45 can be added to ,to make 333 for example 54+45=99 so 54 isnt the answer,next is 144+45 which is 189 that doesnt equall 333 so that isnt the answer either lastly is 288+45 which is 333 Thats the answer ...

Each unit on the grid represents 5
feet. About how far, in feet, is the
drinking fountain from
the bench?
A. 8.5 feet
B. 37.1 feet
C. 33.5 feet
D. 42.7 feet

Answers

Answer:

There's no grid but I'd say A if you can give me the grid I'll edit my answer

Step-by-step explanation:

Can you all help? Giving brainliest to whoever can help me!

Answers

Answer:

x=11

Step-by-step explanation:

15x+15=180      they are supplementary angles to each other so their sum is

                        equal to 180 degrees.

subtract 15 from both sides

15x=165

divide each side by 15

x=11

If you place a 13 foot ladder against the top of a 12 foot building, how many feet will the bottom of the ladder be from the bottom of the building?

Answers

Did this a while ago but I’m pretty sure it’s 5 feet x=5

Finding a percentage of o total amount without a calculator...
An item is regularly priced at $35. It is on sale for 40% off the regular price. How much (In dollars) Is discounted from the regular price?
Amount discounted: si
х
5
?
Help

Answers

35 - 0.80*35 = x

35 - 28 = x

7 = x

x = 7

He paid $7

Which of the following represents the solution set to 4x^2+8x-1=0?

Answers

Answer:

4

Step-by-step explanation:

I don't know this question. I REALLY NEED HELP!!!

Answers

Answer:

If it is asking what the answer is when you plug in 5 and 4 to the equation, it would be 54

Answer:

54

Step-by-step explanation:

10m + [tex]\frac{n^{2} }{4}[/tex]

First insert the m value and then multiply

10m = 10(5) =50

then the equation becomes 50 +  [tex]\frac{n^{2} }{4}[/tex]  

Second insert the n value

[tex]\frac{4^{2} }{4}[/tex]

4 to the second power = 16 so it becomes 16 over 4 aka 4 wholes

50+16/4

50+4=54

A recipe for cake calls for 3/4 cup of sugar and 2 cups of flour.

Write an equation to represent the relationship between s, sugar, and f, flour.

Answers

Answer:

32 tablespoons of sugar.

Step-by-step explanation:

Answer:

32 tablespoons of sugar.

Step-by-step explanation:

Sarah has $1000 in the bank. she took out $50 to buy supplies. What percentage of savings did she take out?

Answers

She took out 5%, 10$ is 1% so that would make 50 5%

a^2 + b^2 + 2bc - 2ca - 2ab

Answers

I got a^2 + b^2+2bc-2ac-2ab

When a number is increased by 9.5%, the result is 58. What is the original number to the nearest tenth?

(I've seen other questions like this, but the answer is wrong. It's not 50 or 52.49 or 52.5.)

Answers

Answer:

53

Step-by-step explanation:

58÷1.095= 53 is the answer

Answer:

5.03196347032

Step-by-step explanation:

We do:

.095x+x=58

1.095x=58

x=52.96

52.96 is a approximation and when you do the math and see what  9.5 of 52.96 plus 52.96 is you get 57.9912 which is super close to 8 The exact answer is x = 5.03196347032

What is the volume of the prism given below?
14
12
A. 280 units3
B. 480 units 3
C. 840 units 3
D. 420 units3

Answers

AnswerAnswer:

420

Step-by-step explanation:

The volume of the prism is 840 units³ which is correct option (C).

What is volume of prism?

The volume of the prism is defined as the measure of the space occupied within a prism . The prism is a three-dimensional shape that has base area, and height. The volume of a prism is equal to the product of base area and height of a prism.

The volume of the prism= B×H

Where, B is base area of prism, and H is height of prism.

Given that,

Length of  prism (L) = 12 centimeters

Width of prism(W) = 14 centimeters

Base area (rectangle) of prism = L × W

Base area (rectangle) of prism = 12 × 14

Base area (rectangle) of prism = 168 units²

Height of prism(H) = 5 units

The volume of the  prism =  B × H

Substitute the values in above formula,

The volume of the prism = 168×5

The volume of the prism = 840 units³

Hence, the volume of the prism is 840 units³.

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One day 1 2 tried to make a pie. Unfortunately, she only had 3, and no sugar, so she decided to use 4 to sweeten it. The pie bubbled over in the oven and looked a mess. Not one to be discouraged, she decided to remedy the situation by covering the pie with 5 . When her 6 came over, and saw what she'd done, they 7 because 8 her pie ended up 9 but the 10 still needs to be cleaned

Answers

Answer:

even though there's no options or context,most likely answers are 1.little

2.Suzzy

3. flour

4.molases

5.foil

6 aunt

7. ate

8.

9.good

10.kitchen

Given: EGEF = JK

Prove: FG = HJ

PLEASE HELP ASP

Answers

Answer:

Done.

Step-by-step explanation:

EG = EF + FG

HK = HJ + JK

We have: EG = HK and EF = JK => FG = HJ

Scale is 1cm = 8km. Hatboro and Smithville are 24cm apart on the map, how far apart are they?
a.87 km
b.192 km
c. 216 km
d. 33 km

Answers

Answer:

B.) 192 km

Step-by-step explanation:

Since 8km is for 1 centimeter, we multiply 8 by 24 to find how many kilometers there are for 24 centimeters. 8 * 24 is 192 so B.) is your answer.

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