Ford provides an option of a sunroof and side air bag package for its Windstar model. This package costs$1400. Ford wants todetermine the percentage of Windstar buyers who would pay $1400 extra for the sunroof and side air bags. How many Windstar buyers must be surveyed if we want to be 95% confident that the sample percentage is within four percentage points of the true percentage for all Windstar buyers

Answers

Answer 1

Answer:

601 buyers must be surveyed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

How many Windstar buyers must be surveyed if we want to be 95% confident that the sample percentage is within four percentage points of the true percentage for all Windstar buyers?

We need to survey n buyers. n is found when [tex]M = 0.04[/tex]. We dont have an estimate for the proportion, so we use [tex]\pi = 0.5[/tex], which is when the largest sample will be needed.

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.04 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]

[tex]0.04\sqrt{n} = 1.96*0.5[/tex]

[tex]\sqrt{n} = \frac{1.96*0.5}{0.04}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96*0.5}{0.04})^2[/tex]

[tex]n = 600.3[/tex]

Rounding up

601 buyers must be surveyed.


Related Questions

Find the slope of the line passing through the two points ( 2, 7) and ( 6, 15)

Answers

m = y2-y1/x2-x1

m = 15-7/6-2

m = 8/4

m = 2

Solve for x.
5x + 14 greater than or equal to 54

Answers

Answer:

x = 8

Step-by-step explanation:

Answer:

equal, tell me if I'm wrong

plz help out zhavia out she keeps on texting me while im trying to work

Answers

Answer:

Step-by-step explanation:

increase ≤ 55-43.5

increase ≤ 11.5

Elanor can increase her speed by 11.5 miles per hour.

she can increase her speed by 11.5 miles per hour

What Is The Answer
k3 - 4j +12, when k=8, j=2​

Answers

Answer:

The answer would be 28

Step-by-step explanation:

You would plug 8 in where k is and 2 where j is

so (8)3 - 4(2) +12

answer is 28

Yes, answers would be 28

For the past three years, Nigel has grown 1 inches each year. How many total inches has he grown in the past three years?

Answers

Did it tell you a starting height? But that’s literally 3....

Hey umm how do you make your stressed mom feel better?

Answers

Answer:

Help her around the house.

Step-by-step explanation:

If shes like nice sometimes, then go hug her or give her some water.

State whether each pair of expressions are equivalent. Show your work.
5 ( x - 1) and 5x - 1 HELP

Answers

Answer:

Both of them are NOT equivalent.

Step-by-step explanation:

Use the distributive property to see if 5(x - 1) and 5x - 1 were equivalent.

5(x - 1)

= 5x - 5

This tells us 5(x - 1) is not equivalent to 5x - 1.

find the exact value of sin a = 4/5, a lies in quadrant 2, and cos B = 2/5, B lies in quadrant 1 find cos(a-b)​

Answers

Answer:

Cos(a - b) = 0.959

Step-by-step explanation:

We know that:

Sin(a) = 4/5

Such that a is on the first quadrant (between 0° and 90°)

then:

Sin(a) = 4/5

Asin(sin(a)) = Asin(4/5)

a = Asin(4/5) = 53.13°

And:

Cos(b) = 2/5

Then:

Acos(Cos(b)) = Acos(2/5)

b = Acos(2/5) = 36.67°

Then:

Cos(a - b)

where:

a = 53.13° and b = 36.67°

Then:

Cos(a - b) = Cos(53.13° - 36.67°) = 0.959

Jenny made $221 for 13 hours of work. At the same rate, how many hours would she have to work to make $85?​

Answers

Answer: Jenny would have to work 5 hours to get $85

Step-by-step explanation:

Jenny makes $17 an hour (221/13 = 17) and 85/17 is 5

MK=24, JL= 20, And m

Answers

Answer:

Step-by-step explanation:

Answer: need a pic or more info

Step-by-step explanation:

im confused ab this i didnt learn this

Answers

Answer:

90

Step-by-step explanation:

30% of 90 = 27

To explain this in a simple way we can check the work

10% of 90 = 9

9 x 3 = 27

6. Let f(x) = 2x5/2 and g(x) = 4x2 Find (f/g)(x). Please show work.​

Answers

Answer:

8,9,10

Step-by-step explanation:

A group of five students have a mean test score of "34.2." Another student has a score of 50. What is the mean average of all "six" students?

Answers

34.2+34.2+34.2+34.2+34.2+50 divided by 6 = 36.83

HELP HELP 100 POINTS!! Paola was given the equation y= -x + 3. Which of following is an equivalent representation of the equation.

a. f(x) = -x + 3
b. f(y) = x
c. y = -f(x) + 3
d. f(y) = -x + 3
i also need a explanation

Answers

Answer:

a. Is the answer..

Let's solve for y.

y=−x+3

Answer:

y = −x + 3 = y = −x + 3

Hence f(x) = -x + 3 is equivalent to y = −x + 3

Hope it helps

Please mark me as the brainliest

Thank you

Please help ASAP. I need someone to check my Geometry answer and explain why I am right or wrong. REAL ANSWERS ONLY. 20 PTS!

Answers

Answer:

you are right

Step-by-step explanation:

Use the law of law of cos

c^2=a^2+b^2﹣2abcos√angle

(2√13)^2=52=4+36-24cos(a)

cos(a) = -12/24 =  -1/2

a = 120 degrees

so yes, you are right

What is the radius and diameter of the following circle? 18 cm
Radius = cm
Diameter = cm​

Answers

ANSWER:
Radius: ≈2.86
diameter: =5.72

EXPLANATION:

radius=d/2
diameter= 2r

Mary, John and Sue are working on a large project. From past experience it is estimated that Mary would require 45 days to complete the project, John would require 50 days, and Sue would require 60 days. If they work together, what would be the estimated number of days required to complete this project?

Answers

About 52 days if u use the averagep

Use a table of Laplace transforms to find the Inverse Laplace transform of


F(s)= [tex]\frac{3s+9}{s^2+9}[/tex]


f(t)=_____

Answers

Answer:

The inverse Laplace transform of [tex]F(s) = \frac{3\cdot s + 9}{s^{2}+9}[/tex] is [tex]f(t) = 3\cdot \cos \omega t + 3\cdot \sin \omega t[/tex].

Step-by-step explanation:

In this case, we should use the following direct and inverse Laplace Transforms:

[tex]F(s) = G(s) + H(s)[/tex] (1)

[tex]\mathcal{L}^{-1} \{\frac{s}{s^{2}+\omega^{2}} \} = \cos \omega t[/tex] (2)

[tex]\mathcal{L}^{-1}\{\frac{\omega}{s^{2}+\omega^{2}} \} = \sin \omega t[/tex] (3)

[tex]\mathcal\{L\}^{-1}\{c\cdot F(s)\} = c\cdot \mathcal\{L\}^{-1}\{F(s)\}[/tex] (4)

Then, we apply all these trasforms:

[tex]F(s) = \frac{3\cdot s + 9}{s^{2}+9}[/tex]

[tex]F(s) = 3\cdot \left(\frac{s}{s^{2}+9} \right)+3\cdot \left(\frac{3}{s^{2}+9} \right)[/tex]

[tex]f(t) = 3\cdot \cos \omega t + 3\cdot \sin \omega t[/tex]

The inverse Laplace transform of [tex]F(s) = \frac{3\cdot s + 9}{s^{2}+9}[/tex] is [tex]f(t) = 3\cdot \cos \omega t + 3\cdot \sin \omega t[/tex].

1. What is the value of x?
41°
72
Your answer

Answers

triangles add up to 180°, so the answer is 67
It is 67 because the triangle is at 180 degrees so 180-72=108 than do 108-41=67.

what is the answer to 0.657/9 ?

Answers

Answer:

the answer is 0.073

Step-by-step explanation:

0.657/9= 0.073

simplify the fraction 84/96​

Answers

Answer:

The simplest form of 84/96 is 7/8.

Step-by-step explanation:

Thus, 7/8 is the simplified fraction for 84/96 by using the GCD or HCF method. Thus, 7/8 is the simplified fraction for 84/96 by using the prime factorization method.

the sum of three and five to the third power times five plus one

Answers

The value of the expression 3 + 5³ × 5 + 1 will be 629.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

According to the PEMDAS rule, the operation should be performed in the order of the computation or the parentheses, whichever comes first.

The sum of three and five to the third power times five plus one will be written mathematically and will be

⇒ 3 + 5³ × 5 + 1

Simplify the expression, then the value of the expression will be

⇒ 3 + 125 × 5 + 1

⇒ 3 + 625 + 1

⇒ 629

The value of the expression 3 + 5³ × 5 + 1 will be 629.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

There are 20 girls
and 12 boys in a class.
What would be the probability of
randomly selecting a girl? (Decimals please)

Answers

Answer: 240

Step-by-step explanation:

Suppose in a math class of 22 students, 14 are boys and 8 are girls. ... for a girl you have a 8 out of 22 students chance....for an A you have an additional ... 8/22+4/22 = 12/22 = 6/11. for a boy there is a 14 out of 22 chance of being a boy and an ... 14/22 + 6/22 = 20/22= 10/11 ... How to display latex properly

ill mark brainlist plss help

Answers

it is oxygen no doubt about it

Is 4/2 equivalent to 1

Answers

Answer:

False

Step-by-step explanation:

4/2 = 2/1 = 2

And 2 ≠ 1

Hence, 4/2 ≠ 1

Hope it helps :)

Answer:

no .

Step-by-step explanation:

4/2 is equivalent to 2 , if it were 2/2 then it would be yes .

A parabola has its vertex at (-6, 5) and focus at (-6.25, 5). Which of the following is an equation for this parabola?

Answers

Answer:

Step-by-step explanation:

vertex and focus are horizontally aligned, so parabola is horizontal.

focal length p = distance between focus and vertex = 0.25

focus lies to the left of vertex, so the parabola opens to the left.

x = a(y-k)² + h,

vertex (h,k)

a = -1/(4p)

vertex (-6,5)

h = -6

k = 5

p = 0.25

a = -1/(4·0.25) = -1

x = -(y-5)² - 6

SOMEONE, PLEASE HELPP ME!!!
Ten hamburger values meals cost $60.

Answers

Each burger is 6 dollars each and 4 of them would cause 24$
The burgers are $6 bucks each and 4 times 6 is 24 it’s 24

If a frozen turkey takes 1 day for every 4 pounds to thaw in the refrigerator and 30 minutes per pound to thaw in a bath of cold water, what is the thaw rate for frozen turkey in hours per pound using each method?​

Answers

How long it takes: Allow approximately 30 minutes for every pound of turkey. A 15-pound bird will take about 7½ to 8 hours to thaw completely.

what is 20/3 in pounds

Answers

Answer: 6 2/3 pounds.

Step-by-step explanation:

Answer:

6 2/3 pounds

Step-by-step explanation:

math HELPPPO MEEEEE PPZZZZ

Answers

Answer:

3x+7x

Step-by-step explanation:

Answer:

D) 3x+7x

Step-by-step explanation:

D) 3x+7x

Other Questions
Which of the following describes a change in energy that occurs as an acorn falls from a tree toward the ground FindnewspaperormagazinearticlesthisweekabouttheUnitedNations.Attheendoftheweek,writeabriefsummaryaboutthemanyactivitiesoftheU.N.intheworldtodayPleasssssee help 50 points plssss ill give brainiest A flat loop of wire consisting of a single turn of cross-sectional area 8.80 cm2 is perpendicular to a magnetic field that increases uniformly in magnitude from 0.500 T to 1.80 T in 1.10 s. What is the resulting induced current if the loop has a resistance of 2.20 The Patriots feare wat British soldiers would arrest A. Samuel Adams B. Benjamin Franklin C. Thomas Jefferson D. George Washington Which is NOT a part of cell theory?A. The basic unit of life is a cell.B. All cells are produced from other living cells.C. All cells need light to live.D. All organisms are made of cell. Cual es el postulado de Jonh Lock respecto al: origen del poder objetivo o fin del poder derecho de rebelion toma de deciciones politicas limites al poder.. ES URGENTEEEEEE What is the molarity of a solution made by dissolving 1.25 mol of HCl in enoughwater to make 625 mL of solution?A) 0.073 MB) 2.00 MOC) 28.5 MD) 500 M Simplify the radical expression 413-613+1013 Eu Conversion w decal values.A multivitamin tablet contains 18.5 mg of calcium. How much calcium does a bottle of 60 tablets contain?Write your answer in grams. A bear loves visiting his friend, the piglet. The distance between their houses is 300m , and the bear always walks from his house to the piglet's house in exactly the same amount of time. But today, the bear stops at a beehive after walking 1 of the 4 distance. He eats honey for 2.5 minutes and then continues to the piglet's house at a speed 15 m/min faster than usual. The total journey to the piglet's house takes the exact same amount of time as it usually does, when the bear does not stop for honey. How long does the journey take? scientific and common name for this? As a teen in a nuclear family, what would you expect to be on your daily chore list each day when you get home from school What would be the defintion of an ARTIFACT?O Writing by a historian or history teacher about events in the past.O An object made by a person.The first-hand story or account of an event in the past.The remains of an animal or plant. Find the measureof the angle indicated.Your answer Guys pls help me!!!!!! pls be correct not wrong and dont make me loose my points Which of the following is a statistical question?What color is the principal's car?What is the most common color car in the school parking lot?Does Jalen own a cell phone?What is your favorite color?HELP By the 1840s and 1850s, which southern state had the most miles of railroad track? Do you think it is more important to have talent orcharacter? Tell me WHY?I need help What are some factors to help prove that the Islamic religion spread by military conquests The Moon completes one orbit around the Earth in approximatelyin approximatelyand completes one cycle of its phasesA 271/3 days, 24 hoursB 24 hours, 24 hoursC 24 hours, 29 1/2 daysD 27 1/3 days, 29 1/2 days