Marge conducted a survey by asking 350 citizens whether they frequent the city public parks. Of the citizens surveyed, 240 responded favorably.

What is the approximate margin of error for each confidence level in this situation?

0.07

0.03

0.04

0.05

0.06

99%

95%

90%

Answers

Answer 1

Answer:

The margin of error for a 99% confidence interval is of 0.0639, that is, approximately 0.06.

The margin of error for a 95% confidence interval is of 0.0486, that is, approximately 0.05.

The margin of error for a 90% confidence interval is of 0.0408, that is, approximately 0.04.

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]

350 citizens, 240 responded favorably:

This means that [tex]n = 350, \pi = \frac{240}{350} = 0.6857[/tex]

99% confidence level

So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].

[tex]M = 2.575\sqrt{\frac{0.6857*0.3143}{350}} = 0.0639[/tex]

The margin of error for a 99% confidence interval is of 0.0639, that is, approximately 0.06.

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].

[tex]M = 1.96\sqrt{\frac{0.6857*0.3143}{350}} = 0.0486[/tex]

The margin of error for a 95% confidence interval is of 0.0486, that is, approximately 0.05.

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

[tex]M = 1.645\sqrt{\frac{0.6857*0.3143}{350}} = 0.0408[/tex]

The margin of error for a 90% confidence interval is of 0.0408, that is, approximately 0.04.


Related Questions

what is
6 over 9
and
11 over 88​

Answers

Answer:

6 over 9 = 6/9 11 over 88 = 11/88 6/9 = 0.6667(repeating) 11/88 = 0.125

P.S. Dont fall for those link scams! ;)

Hope this helped! If it did, please give me brainliest! It would help a lot! Thanks! :D

Which of these describes information that can appear in a consumer 's credit report?

A. The Name Of A Store Where The Consumer pays for all purchases

B. The Name Of A Company That Gave The Consumer A Car Loan 2 Years Ago

C. The Amount Of Money The Consumer Will Need Too Borrow In The Next 5 Years

D. The Amount That The Consumer Loaned To A Family Member​

Answers

Answer:

b the car loan .................

10. Ayden travels from Orlando to Tampa to see his grandparents. If the trip is 897,600 feet round trip, how many miles does Ayden travel one way? A 85 miles B 170 miles C 255 miles D 340 miles 11. Jason bought 4.5 kilograms of cream me of cream?​

Answers

Im sorry sam
Bell Lah-Lah she will do

Given the equitation 3x+6x=30. What is the slope and y intercept.

Answers

Answer:

slope-5/3-1 2/3

y-intercept=-2

Step-by-step explanation:

hope that helps if correct please mark as brainliest thank you

19NBoli

30 POINTS FOR JUST ONE QUESTION :)

Answers

Answer:

maybe its a or c

Step-by-step explanation:

Answer:

D) 14,400

Step-by-step explanation:

trust me

Solve each inequality.
1. 5x + 2 <17

Answers

Answer:

x<3

Step-by-step explanation:

5x+2<17

Subtract 2 from both sides.

5x<17−2

Subtract 2 from 17 to get 15.

5x<15

Divide both sides by 5. Since 5 is positive, the inequality direction remains the same.

x=15/5

Divide 15 by 5 to get 3.

x<3

Triangle KLM is similar to triangle NOP. Find the measure of side NO. Round your

answer to the nearest tenth if necessary.

M

P Р

O

1

23

51.6

38

N

Answers

Answer:

[tex]NO= 31.2[/tex]

Step-by-step explanation:

See attachment for triangle

From the attachment, we have:

[tex]KL = 51.6[/tex]

[tex]LM= 38[/tex]

[tex]OP = 23[/tex]

Required

Find NO

This will be calculated using the following equivalent ratios:

[tex]NO : OP = KL : LM[/tex]

This gives:

[tex]NO : 23= 51.6: 38[/tex]

Express as fraction

[tex]\frac{NO }{ 23}= \frac{51.6}{ 38}[/tex]

Make NO the subject

[tex]NO= \frac{51.6}{ 38} * 23[/tex]

[tex]NO= \frac{51.6* 23}{ 38}[/tex]

[tex]NO= \frac{1186.8}{ 38}[/tex]

[tex]NO= 31.2[/tex] --- approximated

Answer:

x≈ 16.9

Step-by-step explanation:

The image below shows four soccer balls at different
locations on an uneven soccer field. Which ball has the
greatest amount of kinetic energy? Explain your answer.

Answers

Answer: letter d

Step-by-step explanation:

Answer:

Ball D. Among the four balls in this picture, ball D is the only one whose kinetic energy is greater than [tex]0[/tex].

Step-by-step explanation:

Consider an object of mass [tex]m[/tex]. If this object is moving at a speed of [tex]v[/tex], the kinetic energy of this object would be:

[tex]\displaystyle \frac{1}{2}\, m \cdot v^{2}[/tex].

The speed [tex]v[/tex] of ball A, B, and C are all [tex]0[/tex].  Hence, the kinetic energy of these three balls would be [tex]0\![/tex].

The speed of ball D is greater than [tex]0[/tex]: [tex]v = 2\; \rm m \cdot s^{-1}[/tex]. The kinetic energy of this ball would be:

[tex]\begin{aligned} {\rm KE} &= \frac{1}{2}\, m \cdot v^{2} \\ &= \frac{1}{2}\times \rm 0.43\; \rm kg \times \left(2\; \rm m \cdot s^{-1}\right)^{2}\\ &= 0.86\; \rm J\end{aligned}[/tex].

Hence, the kinetic energy of ball D is the greatest among the four balls in this picture.

I am trying to solve this but I don't understand.

Answers

Answer:

a = 42 b = 21

Step-by-step explanation:

a is 42 since it ks vertically opposite 42

To solve for b

360 - (42×2)........to get the angle next to a

=276... Divde answer by 2. Bc there are two of the angles

276÷2 =138

138 + 2b =180

2b = 180 - 138

b = 42 ÷ 2

b = 21

WILL GIVE BRAINLIEST!!
Find the area of a regular pentagon with a radius of 32 to the nearest integer.

Answers

Answer:

2435 units

Step-by-step explanation:

Write an equation of the parabola shown.

Answers

Answer:

y = 0.1(x + 5)² + 1.5

Step-by-step explanation:

Equation of a parabola having vertex at (h, k) is given by,

y = a(x - h)² + k

From the given graph, vertex of the parabola is (-5, 1.5)

Therefore, equation of the parabola will be,

y = a(x + 5)² + 1.5

Since, this parabola passes through a point (0, 4)

4 = a(0 + 5)² + 1.5

4 = 25a + 1.5

25a = 2.5

a = 0.1

By substituting the value of 'a' in the equation of the parabola,

y = 0.1(x + 5)² + 1.5

help me and i givee points give me correct answer

Answers

Answers:

Fractions A

Red flower fraction== 40/100

Purple flower fraction=47/100

Trees fraction=7/100

Decimals

Orange flower decimal=0.06

Trees decimal=0.07

Percents

Red flower percent=40%

Orange flower percent=6%

Purple flower percent=47%

Ask for help when you need it, I'm here until 2:30

I hope this helps!

If you need more help, don't hesitate to ask!

May I have brainliest, please?

Which is the smallest tow rope needed to pull an 8000 N pallet across a warehouse floor? Click the image to find the answer
10000 n
4000 n
24000 n
2700 n

Answers

Answer: force F = uN, u 0.34 and N = 8000 N also F = 2720 N, thus 4000 N is enough

It

Step-by-step explanation:

Answer:

10,000 i think....i hope this helps

Step-by-step explanation:

Change 79/3 into a mixed number

Answers

Answer:

26 1/3

Step-by-step explanation:

I simplfied 79/3 on paper :)

What are the steps I need to solve this problem? 2x + 5 = 21

Answers

Step-by-step explanation:

subtract 5 under itself and 21 , then cross out the 5 and only subtract 21 and 5 which is 16 and then bring down 2x so now your equation will be 2x=5 so now your gonna divide 2 and 5

Helppppppppppppppppp

Answers

Answer:the second one

Step-by-step explanation:

anwser c

step-by-step explenation                                          

Garrett and Jeffrey are planning a treasure hunt. They decide to place a treasure at
a point that is a distance of 5 units from the -axis and 3 units from the -axis.
Jeffrey places a treasure at point J, and Garrett places one at point G.
Who put the treasure in the right place?
A Garret, he put the treasure at (3, 5)
B Jeffery, he put the treasure at (5, 3)
C Garret, he put the treasure at (5, 3)
D Not here

Answers

Answer:

Step-by-step explanation:

Use the given scale factor and the side lengths of the scale drawing to
determine the side lengths of the real object.
Scale factor: 4:1
10 in
6 in
b
8 in
Scale drawing
Object
A. Side a is 10 inches long, side bis 12 inches long, and side cis 14
inches long
B. Side a is 2 inches long, side bis 4 inches long, and side c is 6
inches long.
O
C. Side a is 24 inches long, side bis 32 inches long, and side cis 40
inches long.
d
D. Side a is 1.5 inches long, side bis 2 inches long, and side c is 2.5
inches long

Answers

Answer:

D for sure

Step-by-step explanation:

i dont know if you have time for this so i explain it in the comments if you need it

Answer:

the answer is D

Step-by-step explanation:

total of 342 tickets were sold for school play. They were either adults tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold. How many adult tickets were sold?

Answers

Answer:

684 I think ?!

Step-by-step explanation:

Answer: 114 adult tickets were sold.

Step-by-step explanation:

Let student tickets be represented as 2t (since twice the amount of student tickets were sold)

and let t represent the amount of adult tickets.

Solve for t (number of tickets)

342= 2t + t. Combine like terms.

342= 3t. Divide both sides by 3.

114=t

114 adult tickets were sold.

Substitute 114 for t to find student tickets.

2(114)= 228 student tickets were sold.

Find Cecilia’s average monthly income if her biweekly take-home pay is $764.00. Help please. Will give braineliest

Answers

Well if your talking about everyday than the answer is 278,860

If your talking about each week than the answer is 278,860.764
Answer: 5675.42


Helpful tool: the take-home pay by subtracting all the calculated deductions from the gross pay, or using this formula: Net pay = Gross pay - Deductions (FICA tax; federal, state and local taxes; and health insurance premiums)

choose the scatter plot in which the outlier is highlighted

Answers

Answer:

its the second graph top right

Step-by-step explanation:

an outlier is a point that deviates from the rest

for the system of equations below what number do we need to multiply one of the equations by to eliminate one of the variables
3x - 4y=-4
5x-4y=12​

Answers

Answer:

the answer is -1

Step-by-step explanation:

if you multiply the first equation by -1, you get this:

-3x + 4y = 4

and then you can add that to the second equation and eliminate y

2x + 0y = 16

what is the answer for this? Select all the fractions that are equivalent to 45. Use the area models to help.

Answers

Answer: bro you have to submit a picture or some more information baceuse nobody will be able to answer your question with only one number (45)

Step-by-step explanation:

Liam is setting up folding chairs for a meeting. If he arranges the ch
same length, he has 9 chairs left over. If he arranges the chairs in 2 rows of that same
length, he has 21 left over. How many chairs does Liam have?
Liam has
chairs.

Answers

Answer:

Step-by-step explanation:

This is the answer


Need help QUICKLYY ———————————————————

Answers

Answer: a. g(x) = 3^x + 2 b. y = 3 c. same graph but shifted two units up

Step-by-step explanation:

the actual weights of bags of pet food are normally distributed about the mean of 50.0 lb with a standard deviation of 0.2 lb.


1. About what percentage of bags of pet food weigh between 49.8 lb and 50.2 lb?

2. About what percentage of bags weigh less than 49.8 lb?

3. In a group of 250 bags, what percentage of bags would you expect to weigh more than 50.4? ​

Answers

9514 1404 393

Answer:

68%16%2.5%

Step-by-step explanation:

1. The empirical rule tells you 68% of the distribution is within 1 standard deviation of the mean. The mean is 50 and the standard deviation is 0.2, so this means 68% of the bags weigh between 49.8 and 50.2 lb.

__

2. The other 32% is evenly split above and below the central part of the distribution. That is, about 16% of the bags will weigh less than 49.8 lb.

__

3. The percentage is independent of the size of the group. The empirical rule tells you 95% lie within 2 standard deviations of the mean. The other 5% will be evenly split between those weighing more than 50.4 and those weighing less than 49.6 lb. About 2.5% of the bags will weigh more than 50.4 lb.

_____

Additional comment

It is useful to remember the empirical rule numbers, 68%, 95%, 99.7% for the portion of the distribution between ±1, 2, 3 standard deviations of the mean. They are useful for answering questions like this one. (They are only approximations, so if more accuracy is needed, a table or app should be used to find the accurate value.)

helpppppp ill give brainliest answer if you know

Answers

Answer: 522.67 mm^3

Step-by-step explanation:

use formula

Find the value of the expression below pls help

Answers

Answer:

D 1/16

Step-by-step explanation:

(1/2)^4=.0625

.0625= 1/16

Someone please help me and thank you:)

Answers

Answer:

D

Step-by-step explanation:

Answer:

n+4=32 models this scenario.

This is because n+4 would show how many students are originally in the class.

Let me know if this helps!

ANSWER ONE OF THESE FAST PLEASE!!!

Answers

Answer:

x7

Step-by-step explanation:

Other Questions
What is the meaning of the acceleration value 9.8 m/s????? Based on the data from 2000 to 2010, what can be determined about this retirement community in Florida?A. It has urbanized and has kept consistent with population growth percentages of the state.B. It has urbanized but has had a slower growth in population compared to the rest of the state.C. It has urbanized mostly in Sumter County and has far exceeded the state's rate of population growth.D. It has urbanized in Lake County, but most of these areas are not part of Lady Lake-The Villages. 10Select the types of data that describe climate. (You may select more than onecorrect answer)one day'sTemperatureaverage oceandepthaverageprecipitationannual windspeed Directions: solve for x Read the excerpt from The Odyssey.He saw the townlandsand learned the minds of many distant men,and weathered many bitter nights and daysin his deep heart at sea, while he fought onlyto save his life, to bring his shipmates home.But not by will nor valor could he save them,for their own recklessness destroyed them allchildren and fools, they killed and feasted onthe cattle of Lord Helios, the Sun,and he who moves all day through heaventook from their eyes the dawn of their return.Of these adventures, Muse, daughter of Zeus,tell us in our time, lift the great song again.What can be learned about the ancient Greeks from this excerpt? Choose two answers.They established the first democratic government.They contributed to art, science, and philosophy.They valued perseverance, bravery, and strength.They believed the gods were active in peoples lives.They emphasized the importance of physical fitness. Find the pH of a solution containing [H+]=0.00003 what are some facts of the Marine ecosystem! What is the radius of a circle whose equation is (x 7)2 + (-10)2 = 4?2 units4 units8 units16 units How did Industrialization in the Northern States lead to an increase in enslaved people in the southern States? SOMEONEEE PLEASE HELP MEE!!! Very much need some help ASAP !! Read the following excerpt from a narrative about a dishwashers first day working in a professional kitchen: Alfred stood at the dishwasher, the steam blasting his hair and leaving it lank and plastered to his neck. He needed this job. He would do anything to keep it. He was an experienced dishwasher. He knew hed be able to impress his boss, if shed just give him the chance. When shed asked him to stay an extra couple hours, Alfred hadnt had to think about it. Hed just said, _________. If the author of the narrative wanted to keep developing the main character, which line of dialogue would BEST finish the scene? Why? A. Excuse me, Mrs. Wilkes; it shows that Alfred is polite. B. Until 2 AM?; it provides a detail about how late Alfred will have to stay at work. C. Ill stay as late as you need me to, Mrs. Wilkes; it gives Alfred a chance to declare his commitment to the job. D. Is this the button you press to restart the dishwasher?; it provides an important detail about the work of being a dishwasher. #15 need help dont understand Part 6Provide one plece of evidence from the Declaration that justifies American independence. Explain your answer. If 13.5 L of nitrogen gas reacts with 17.8 L of hydrogen gas at STP, according to the following reaction, what mass of ammonia would be produced? N2 + 3 H2 --> 2 NH3 Report your answer with proper significant figures, only a number answer is required, no units needed for this form. Completa el espacio en blanco con la forma correcta del verbo en el tiempo futuro.Maana yo _______ a mi madre. (ayudar)ayudayudayudarayudr You are using the equation 4(p 7) = 44 to determine how many pictures can be saved at one time to the photo stream on your cell phone. Describe the operations in the order that you will perform them to solve the equation. (3 points) 1. The cross section of an A-frame cottage is an isosceles triangle. If theslope of one of the sides is 1.8 and it is 19 feet high at the peak, what angledoes the side make with the horizontal? What is the width of the cottage? A gas has a solubility of 1.46 g L at 8.00 atm of pressure. What is the pressure of a sample of the same gas thatcontains 2.7 g/L of the dissolved gas? Consider the circle with a radius of 30 cm.What is the approximate circumference of the circle? (Use 3.14 as an approximation of pi.) Can anyone help, I got really confused doing this problem, and I cant find the answer for it.