A statewide poll for an upcoming gubernatorial election concluded that 52.8% of the voters will vote for candidate A and 47.1% will vote for candidate B. The margin of error is ±2.5%. The confidence level for this result is 95%. Explain the confidence interval.

Answers

Answer 1

Step-by-step explanation:

a) For a 95% confidence interval we use the formula

First we need to establish the sample proportion

The sample size is

n = 200

and the critical value of z for a 95% confidence interval is

z* = 1.960

This gives us

This gives us an upper confidence limit of

.525 + .069 = .594 or 59.4%

and a lower confidence limit of

.525 - .069 = .456 or 45.6%

b) At this point her supporters wonder what her chances of winning are. 45.6% is below 50%, so she might lose. To find her chances of losing, consider the bell shaped curve

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Her probability of winning is the area to the right of 50%. We need to turn the 50% into a z score

= -.708

We look up a z-score of -.71 in Table A and get an area of .2389. This is the probability that she will lose. the probability that she will win is

.7611

c) The candidate's supporters would like to be more sure that she will win. They decide to increase the sample size until the 95% confidence interval is only plus or minus 3%. They want to know how large of a sample they will need to get that kind of accuracy. We use the formula for the margin of error.

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To solve for n, first square both sides to get rid of the radical.

Multiply both sides by n and divide both sides by m2.

For a 95% confidence interval z* = 1.96. We put in our other numbers

= 1064.4433

so they would have to survey 1065 people in order to get a 95% confidence interval that would only stretch up and down 3%.

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Related Questions

Which expression is equivalent to

420d2 - 126d?

Answers

Answer:

42d(10d-3)

Step-by-step explanation:

Whats The Answer Marking Brainliest, Please explain your answer:D...
.........

Answers

Answer:

64

Step-by-step explanation:

The exponent of a number says how many times to use the number in a multiplication.

8 to the Power 2

In 82 the "2" says to use 8 twice in a multiplication,

so 82 = 8 × 8 = 64

In words: 82 could be called "8 to the power 2" or "8 to the second power", or simply "8 squared"

A car can travel 150 miles on 4 gallons of petrol. How far can it travel on 6 gallons?

Answers

Answer: The car can travel 225 miles on 6 gallons of petrol.

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Based on the containers and the items, the correct matches are:

Rate:

5 bottles for $5$1.00 per 16 ounces

Unit Rate:

$0.06 for 1 ounces 24 bottles per case 16 ounces per bottle

Neither:

36 bottles

What is the unit rate?

The unit rate refers to the quantity per unit of the item in question. The quantity per case of bottles is 24 bottles and the cost per ounce for the item is $0.06.

Rate on the other hand shows the ratio between two items. For instance, one can get 5 bottles for $5 and one can get 16 ounces of the item for $1.00.

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how are u pls answer Me guys i will get a bad grade pls answer meeee​

Answers

Answer:

i am great thank u how are u?

Step-by-step explanation:

Solve for v.
28-3v=4v
Simplify your answer as much as possible
V =

Answers

It’s literally 4 ! Your answer would be v=4
The answer for 28-3v=4v is v=4

8. Two streets intersect at a traffic light, forming vertical angles. If the
measure of one of the angles formed by the intersecting streets is 78°,
what are the measures of the other three angles? Draw and label a
picture of the scenario. Show your work for how you found the missing
angles. (3 points)

Answers

The measures of the angles in the intersection are 78 degrees, 78 degrees, 102 degrees and 102 degrees

How to determine the measure of the three variables?

The measure of one of the angles is given as 78 degrees

Represent this angle with x

So, we have

x = 78

Vertical angles are congruent angles

This means that

Vertical angle =  x = 78

The other angles adjacent these angles are also congruent

And the measure of these angles is calculated using

y + x = 180

Substitute the known values in the above equation

So, we have

y + 78 = 180

Subtract 78 from both sides of the equation

So, we have

y + 78 - 78 = 180 - 78

Evaluate the like terms in the above equation

So, we have

y = 102

This means that the measure of the other angles is 102 degrees

Hence, the measures of the angles in the intersection are 78 degrees, 78 degrees, 102 degrees and 102 degrees

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an independent contractor charges $60 per hour. how many hours did the contractor work to make $42,720

Answers

basically the equation is 60h=42720 and ypu have to divide 42720 by 60 to get h (how many hours. your answer is 712 hours.

9. If two complementary angles are in the
ratio 3:7, find the supplement of the
bigger angle.​

Answers

Answer:

idk

Step-by-step explanation:

Complementary angles are pair angles with the sum of 90 degrees. We have Two complementary angles are in the  ratio 3:7:

α = 3k

β = 7k

Then:

3k + 7k = 90°

10k = 90

k = 90/10

k = 9

The bigger angle is:

β = 7(9) = 63°

Two Angles are Supplementary when they add up to 180 degrees.  Then the supplementary angle for β is:

x = 180 - 63°

x = 117° → ANSWER

Please anyone help me Several friends went out
to eat lunch together.
Sharon offered to pay
1/3 of the total cost. If
the total cost was $46.
about how much
did Sharon pay?

Answers

Explanation:

Sharon offered to pay 1/3 of the total cost.

Total cost = $46

1/3 of $46 = [tex] \frac{1}{3} \times 46 = 15.33 \: (approx.)[/tex]

Answer:

Sharon paid $15.33

Select the equation in point-slope form for the line that passes through the point (1, -1) and has a slope of 4.
Ay+ 1 = 4x - 1
B. y - 1 = 4x + 1
Cy-1 = 4(x + 1)
Dy+1 = 4(x - 1)

Answers

Answer:

D. y+1=4(x-1)

Step-by-step explanation:

look up point slope form equation

PLEASE ANSWER CORRECTLY! I WILL MARK BRAINLIEST! I really need an answer!


Dashawn solves the following system of equations using the elimination method.

3x−4y=36
5x+2y=8

What value does he correctly determine for x?

Enter you answer in the box.

x =

Answers

C I think................

Help?ill give brainliest

Answers

answer: 263.46
1,238.46-975

Answer:

Step-by-step explanation:

   1, 238.46 total money

-      975.00 money spent

-------------------

      263.46

40+20+40+30= what is the answere to it

Answers

Answer:

Step-by-step explanation:

130

Answer:

130

Step-by-step explanation:

Indicate the answer choice that best completes the statement or answers the
question.
Which point is closest to 29 on the number line?
А
B
с
D
0
1
2 3 4 5 6 7 8
9 10
Oa. A
Oь. С
Oc.D
Od. B

Answers

Answer:

option d

Step-by-step explanation:

root of 29 = 5.39 (rounded)

in the line, point B is closest to that value.

Can someone please help me with proofs!

Answers

2) AE is congruent to EC, BE is congruent to ED (a bisector splits a segment into two congruent parts)

3) Angle AEB is congruent to angle DEC (vertical angles are congruent)

4) Triangle ABE is congruent to triangle CDE (SAS)

if akayla painted 1/3 of a wall in 20 minutes how long will it take her to paint 4 walls

Answers

Answer:

240 minute or 4 hours

Step-by-step explanation:

We can use a ratio to solve

1/3 wall           4 walls

-------------  = ----------------

20 minutes      x minutes

Using cross products

1/3 x = 20 *4

1/3 x = 80

Multiple each side by 3

1/3 x* 3 = 80*3

x = 240 minutes

Divide each side by 60 to change to hours

x = 240/60

x = 4 hours

I got a question sooo​

Answers

Answer:

5x +2=17

I hope I helped have an amazingg day

a. when u and v are nonzero​ vectors, ​span{u​,v​} contains only the line through u and the line through v and the origin.

Answers

Span{u, v} contains the lines through u and v. But Span{u, v} also contains u + v which does not lie on either line.

A vector basic definition What is it?

A quantity or phenomena with independent qualities for both magnitude and direction is called a vector. The term can also refer to a quantity's mathematical or geometrical representation. Velocity, momentum, force, electromagnetic fields, and weight are a few examples of vectors in nature.

False, If the vectors are said to span, then they encompass the area enclosed by au + bv, where a and b are real values. The line between u + v and the origin is a straightforward counterexample. This would be referred to as a plane via u, v, and the origin since it contains all possible combinations of u and v as well as multiples of each.

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Write an equation for this relationship

Answers

Answer:

y=18.5x

Step-by-step explanation:

get 55.5/3=18.5

y=18.5x

habusbgsbiqnwksisnhsvqjuq

why you tube is not working​

Answers

It is working

Have a great day

Which of the following graphs the equation.
Y=1/3x -2

Answers

Answer:

I don't know your answer options, but this is what the graph would look like:

**please mark brainliest!!

If ABCD is a rectangle, BD = 2x + 5 and AC = 7x - 40. Find the value of BE.

Answers

Answer:

AC = 23

BD = 23

Step-by-step explanation:

ABCD is a rectangle,

AC and BD are its diagonals.

Diagonals of a rectangle are congruent.

Therefore,

AC = BD

7x - 40 = 2x + 5

7x - 2x = 5 + 40

5x = 45

x = 45/5

x = 9

BD = 2x + 5 = 2*9 + 5 = 18 + 5 = 23

AC = 7x - 40 = 7*9 - 40 = 63 - 40 = 23

0.3 × 4.24
help plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Step-by-step explanation:

1.272

this is the answer

Answer:

1.272

Step-by-step explanation:

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Brainliest for whoever gets this right

Answers

Answer:

it is 145 degrees.

Step-by-step explanation:

since the angle at the centre of an arc will be twice the angle produced at any point in the circle. hence double the angle of 35 will be 70. then reflex angle of it will give us 290. hence half of 290 is 145 degree.

Answer:

145 degrees

Step-by-step explanation:

Hope this helped have an amazing day!

Can someone help please, i really get confused with equations, please step by step explanation

Answers

Answer: PR equals 6x-2 and x=6.

Step-by-step explanation: Try drawing a diagram to better visualize this, add both the equations, (2x+5)+(4x-7). Be careful of the negative, distribute properly. You should get 2x+5+4x-7 which becomes 6x-2. And finally since they have a midpoint between, both equations are equal to each other. So 2x+5=4x-7. Which should give you x=6.

When changed to standard form, how many zeros will be after the seven?
1587 x 10^39 = EASY POOINTS

Answers

Answer:

39

Step-by-step explanation:

because the decimal is moved 39 times as shown by calculating the sum

Answer:

Your answer is 39

Hope this helps

A coin is tossed and the spinner is spun, One possible outcome is H3
(heads, 3). What is the sample space of this experiment?


Answers

Answer:

Possible Outcomes?  I hoped that helped it was kinda confusing to me.

Step-by-step explanation:

what is the volume of the rectangular prism HELPPP WILL GIVE BRAINLIEST ​

Answers

Answer:

1 1/9

Step-by-step explanation:

the volume is 11/9 i think

Find the area. Simplify your answer.
X+9
X+8
Help please

Answers

Come here lil momma let me whisper hear u like glizzys so do I >:)
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