In late June 2012, Survey USA published results of a survey stating that 55% of the 579 randomly sampled Kansas residents planned to set off fireworks on July 4th. Determine the margin of error for the 55% point estimate using a 95% confidence level. The margin of error is: _____% (please round to the nearest percent)

Answers

Answer 1

Answer:

The Margin of Error E [tex]\simeq[/tex] 4.1 %

Step-by-step explanation:

Given that:

The sample size = 579

The sample proportion [tex]\hat p = 55\%[/tex] = 0.55

From the confidence interval of 95%

The level of significance ∝ = 1 - C.I = 1 - 0.95 = 0.05

The critical value of [tex]Z_{\alpha/2 } = Z_{0.025} = 1.96[/tex]

Thus;

The Margin of Error E = [tex]Z_{\alpha/2 } \times \sqrt{{\dfrac {\hat p ( 1 - \hat p }{n}}[/tex]

The Margin of Error E = [tex]1.96 \times \sqrt{{\dfrac {0.55 ( 1 - 0.55) }{579}}[/tex]

The Margin of Error E = [tex]1.96 \times \sqrt{{\dfrac {0.55 ( 0.45 )}{579}}[/tex]

The Margin of Error E = [tex]1.96 \times \sqrt{{\dfrac {0.2475}{579}}[/tex]

The Margin of Error E = [tex]1.96 \times \sqrt{{4.2746114 \times 10^{-4}}[/tex]

The Margin of Error E = [tex]1.96 \times .020675[/tex]

The Margin of Error E = 0.040523

The Margin of Error E [tex]\simeq[/tex] 0.041

The Margin of Error E [tex]\simeq[/tex] 4.1%


Related Questions

Can anyone thats really extremely excellent at math, history and english please help me out with my questions. Truly need help. Please only answer if you know how to. ( Just click on my name and go to my questions) answer.​

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Answer:

Meeeeeeeeeeeeeeeeeeeeeee

Worth 75 points!! Need help with calculus

Answers

The correct answer is:

2u-v=7(5i-3j)

Therefore, 5, and 3 go inside the box.

A submarine started at the surface of the water and
was moving down at –15 kilometers per
minute
toward the ocean floor. The submarine traveled at
this rate for 52 minutes before coming to rest on the
ocean floor. What is the depth of the ocean floor?

Answers

Answer:

The depth of the Ocean Floor is -780 kilometers

Step-by-step explanation:

The answer is -780 because -15 multiplied by 52 equals -780.

HELP ME PLEASEEEEEESS

Answers

Answer:

b

Step-by-step explanation:

Twenty five more than twice a number is fifty five. What is the number?

Answers

25 + 2x = 55

2x = 30

x = 15

The number is 15

Answer:

Step-by-step explanation:

If the number is 15 then twice is 30 then add 25 = 30 + 25 = 55

Find the surface area of the square pyramid shown below.

Answers

9514 1404 393

Answer:

  160 units^2

Step-by-step explanation:

Each of the four triangular faces has an area of ...

  A = (1/2)bh = (1/2)(8)(6) = 24 . . . square units

The square base has an area of ...

  A = s^2 = 8^2 = 64

Then the total surface area is ...

  A = base area + 4 · triangle area

  A = 64 + 4(24) = 160 . . . square units

How do you do these two questions?

Answers

Answer:

(x − π)⁷ / 5040

(x − 1)³ / 16

Step-by-step explanation:

Taylor series expansion of a function is:

f(x) = ∑ₙ₌₀°° f⁽ⁿ⁾(x₀) / n! (x − x₀)ⁿ

where f⁽ⁿ⁾(x₀) is the nth derivative evaluated at x₀.

For the first problem, f(x) = sin x and x₀ = π.  We want the seventh degree term, so n = 7.

The seventh degree term is therefore: f⁽⁷⁾(π) / 7! (x − π)⁷

Find the seventh derivative of sin x:

f(x) = sin x

f⁽¹⁾(x) = cos x

f⁽²⁾(x) = -sin x

f⁽³⁾(x) = -cos x

f⁽⁴⁾(x) = sin x

f⁽⁵⁾(x) = cos x

f⁽⁶⁾(x) = -sin x

f⁽⁷⁾(x) = -cos x

Evaluated at π, f⁽⁷⁾(x) = 1.  So the seventh degree term is (x − π)⁷ / 5040.

For the second problem, f(x) = √x and x₀ = 1.  We want the third degree term,  so n = 3.

The third degree term is therefore: f⁽³⁾(1) / 3! (x − 1)³

Find the third derivative of √x:

f(x) = √x

f⁽¹⁾(x) = ½ x^-½

f⁽²⁾(x) = -¼ x^-³/₂

f⁽³⁾(x) = ⅜ x^-⁵/₂

Evaluated at 1, f⁽³⁾(x) = ⅜.  So the third degree term is (x − 1)³ / 16.

What is the unit rate if the candy is $7.80 for 2 pounds?

Answers

Answer:

= 3.9 candy per pound

Step-by-step explanation:

This is a fraction equal to

7.8 candy ÷ 2 pounds

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 2

7.8 candy        ÷ 2

________

2 pounds ÷ 2

=  

3.9 candy

_______

1 pound

=  

3.9 candy

_______

pound

= 3.9 candy per pound

question: what is the relationship between measures of angle 1 and angle 2
pls help need answer fast​

Answers

Answer:

C.

Step-by-step explanation:

m1 is greater than m2 because the angle is larger

Who can help me with this for algebra 2

Answers

the answer to this equation is

x= 1, -3

Emily is looking for tickets to see Taylor Swift. Two weeks ago, the tickets were $64. Now the tickets are $80. What is the percent change in the price of tickets? Is it an increase or decrease?

Answers

Answer:

25% increase. Hope this in helpful!!

You randomly selected one card from a 52-card desk. Find the probability of selecting a black nine or black three

Answers

The answer is one and 13

A car travels 6 meters in 3 seconds.Then it stops for 5 seconds.Then it travels 2 meters in two seconds
PLS ANSWER

Answers

Answer:

it would be 8 meters in 10 seconds,Because it travels 6 meters for 3 seconds stops for 5 seconds. So then it would be 6 meters in 8 seconds then it travels 2 meters in two seconds. Which would essentially be 8 meters in 10 seconds.

reflection across y= -x

Answers

Answer:

option A) is correct.

Step-by-step explanation:

As we know that when we reflect across the line [tex]y=-x[/tex], the x-coordinate and y-coordinate would change places and be negated.

So the formula about the reflection across [tex]y=-x[/tex] will be:

(x, y) ⇒ (-y, -x)

From the graph, the vertices of the triangle are:

Vertex U = (-5, -2)Vertex T = (-3, -3)Vertex V = (-5, -5)

As the rule of reflection across [tex]y=-x[/tex] will produce the image with the vertices T', U' and V' which are as follows:

(x, y) ⇒ (-y, -x)

U(-5, -2) ⇒ (-y, -x) = U' (2, 5) T(-3, -3) ⇒ (-y, -x) = T' (3, 3) V(-5, -5) ⇒ (-y, -x) = V' (5, 5)

So, the vertices of U', T' and V' will be:

U' (2, 5) T' (3, 3) V' (5, 5)

Therefore, option A) is correct.

Based on the pattern in the table, what is the value of a?

Powers of 2
Value
2 Superscript negative 1
One-half
2 Superscript negative 2
One-fourth
2 Superscript negative 3
one-eighth
2 Superscript negative 4
StartFraction 1 Over 16 EndFraction
2 Superscript negative 5
StartFraction 1 Over 32 EndFraction
2 Superscript negative 6
a

Negative 64
Negative 12
StartFraction 1 Over 16 EndFraction
StartFraction 1 Over 64 EndFraction

Answers

Answer:1/64

Step-by-step explanation: I got it right

Based on the pattern in the table, the value of a is StartFraction 1 Over 64 EndFraction.

What are Exponents?

Exponents are the method of writing numbers, especially large numbers, in terms of a base and an exponent, which is written as the power of base.

Given is a pattern, which is the powers of 2.

The first term is 2⁻¹ = 1/2

The second term is 2⁻² = 1/ 2² = 1/4

The third term is 2⁻³ = 1 / 2³ = 1/8

The fourth term is 2⁻⁴ =  1 / 2⁴ = 1/16

The fifth term is 2⁻⁵ = 1/ 2⁵ = 1/32

The sixth term is 2⁻⁶ = 1/ 2⁶ = 1/64

So the value of a is 1/64.

Hence the value of a is 1/64.

To learn more about Exponents, click on the link given below :

https://brainly.com/question/30066987

#SPJ6

GUYS, I GOTM 1MILLIO0N DOLARS IN THE STOCK MAARKAT HOW MUCH IS 1 MILLION DOLLARS IN NE GOTIABLE US CUERENCY CONVERTED TO RUSSIAN RUBELS????/// PLS ILL GIV BRANLEST!11

Answers

Hi! I believe your answer is 77,435,300.00 Russian Rubles, which is equivalent to 1,000,000 U.S. dollars. I hope this helps you! Good luck and have a great day. ❤️✨

Answer:

76,922,200.00 RUB

Step-by-step explanation:

wow how in the heck did you do that 0-o your rich dude pls explain how u did it T-T

Decide which of the two given prices is the better deal and explain why. You can buy shampoo in a ​6-ounce bottle for ​$2.29 or in a ​15-ounce bottle for ​$.10.19

Answers

Answer:

The 6 oz bottle

Step-by-step explanation:

When you simplify it to see how much per ounce each costs, the 6-oz has the better price.

2.29/6 = 0.381666....

10.19/15 = 0.6793....

the second bottle cost more per ounce, so the 6 oz bottle has the better deal

*plz brainlist

Use this picture and help please

Answers

65 degrees because then it adds to 180 degrees

Answer:

This would be 55 degrees because the sum of angles A, B and C = 180 degrees

Lines
AB
and
CD
are straight lines. Find x and y. Give reasons to justify your solutions.

Answers

Answer:

x = 18

y = 54°

Step-by-step explanation:

m<MON = 90° (given)

m<MOA = 72° (given)

m<AON + m<MOA = m<MON (Angle Addition Postulate)

m<AON + 72° = 90° (Substitution)

Subtract 72° from each side

m<AON = 90° - 72°

m<AON = 18°

m<AOD = 18° + 2x

m<BOC = 3x

m<AOD = m<BOC (vertical angles)

18 + 2x = 3x (Substitution)

Subtract 2x from each side

18 = 3x - 2x

18 = x

x = 18.

72° + y + 3x = 180° (angles on a straight line)

Plug in the value of x

72 + y + 3(18) = 180

72 + y + 54 = 180

126 + y = 180

Subtract 126 from both sides

y = 54

An accountant who is currently earning $42,380 annually expects a 6.5% raise. What is the amount of the
expected raise?

Answers

Answer:

$2754.70

Step-by-step explanation:

Chad bought 1 box of raisins. He gave 1/6 of it to one brother, 1/4 to another brother, and he kept the rest for himself. What fraction did he keep?
Write the answer in the simplest form

Answers

Answer:

He kept 7/12 of the box.

Step-by-step explanation:

We add and convert both 1/6 and 1/4 because we cant add fractions with unlike denominators.

1/6 = 2/12  | 1/4 = 3/12

then add.

2/12 + 3/12 = 5/12.

we subtract this from a whole, which is 12/12.

12/12 - 5/12 = 7/12

he keeps 7/12 of the box

hope this helped!

answer pls hurry need this asap

Answers

The equation is y = -6x - 8

Answer:

y=-6x-8

Step-by-step explanation:

well first of all the line passes through (0,-8) ehich would give you a y-int of -8, to find the slope of y=mx+b you could do rise/run. fi you found a point and counted down to another point it'd be -6, then count the run it'd be 1, -6/1 equals -6

-24 = -8(5x-7) im confused

Answers

Answer:

x=2

Step-by-step explanation:

In order to solve the inequality, first simplify it. -8 (5x -7) can be simplified be distributing. Multiply -8 to each term.

-24 = -40x + 56  now you can solve it start by subtracting 56 on both sides

-80 = -40x now divide -40 on both sides

2=x

I hope this helps :)

have a nice day

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Answers

Answer:

case a) y=1/3x+8

case b) y=-3x+28

Step-by-step explanation:

case a)

parallel lines has the same slope, then, the searched line has the form:

[tex]y=\frac{1}{3} x +b[/tex]

Now, in order to find b, we must use the given point (6,10). By substituying this point into the last equation, one has

[tex]10=\frac{1}{3} 6+b\\10=\frac{6}{3} +b\\10=2+b\\b=10-2\\b=8[/tex]

Then, the line equation is y=1/3x+8

case b)

the slope of a perpendicular line is the "negative reciprocal" of the slope of the original line, that is

[tex]m=-\frac{1}{\frac{1}{3} } \\m=-3[/tex]

Hence, the searched line has the form y=-3x + b. Now, in order to find the y-intercept b, we must use the given point (6,10). Therefore,

[tex]10=-3(6)+b\\10=-18+b\\b=10+18\\b=28[/tex]

Hence, the searced equation is y=-3x+28

The ______ identity is 1.

Answers

Answer:

I believe its ,multiplication

Step-by-step explanation:

because any number you multiply be one is one

mark brainliest if correct please

Answer:

multiplication

Step-by-step explanation:

Cause of Peter griffen

Rewrite the function f(x)=2(x-1)^2-1 in the form f(x)=ax^2+bx+c

Answers

Answer:

2x^2-4x+1

Step-by-step explanation:

2(x-1)^2-1

2(x^2-2x+1)

2x^2-4x+2-1

2x^2-4x+1

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[tex]f(x) = 2 ({x - 1})^{2} - 1 [/tex]

[tex]f(x) = 2( {x}^{2} - 2x + 1) - 1[/tex]

[tex]f(x) = 2 {x}^{2} - 4x + 2 - 1 [/tex]

[tex]f(x) = 2 {x}^{2} - 4x + 1 [/tex]

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Write an equation in point-slope form and slope-intercept form for the line.

passes through (6, -6), slope = 5

Answers

Answer:

y = 5- 36

Step-by-step explanation:

6 is the x

-6 is the y

y=mx+b

so m times x, m is the slope

5 times 6 is 30

-6=30+b

so -36

y=5x-36

SORRY IF IM WRONG I TRIED

of a car for $40,300 at 2.5% add on rate for 5 years. What is the APR?

Answers

Like 55k bs snanbdndhdmd

Answer:

$45,337.5

Step-by-step explanation:

1. 2.5 * 5 = 12.5

2. $40,300 + 12.5%

Hope This Helps :)

Order these numbers least to greatest 5/3,1,12/6

Answers

Answer:

1,5/3,3 that the answers

i need helppp!!
worth 10 points

Answers

Answer:

I think that it is 120 but not sure

Step-by-step explanation:

sorry if wrong

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