A news organization interested in chronicling winter holiday travel trends conducted a survey. Of the 96 people surveyed in the eastern half of a country, 42 said they fly to visit family members for the winter holidays. Of the 108 people surveyed in the western half of the country, 81 said they fly to visit family members for the winter holidays. Construct a 99% confidence interval for the difference in population proportions of people in the eastern half of a country who fly to visit family members for the winter holidays and people in the western half of a country who fly to visit family members for the winter holidays. Assume that random samples are obtained and the samples are independent. (Round your answers to three decimal places.) z0.10 z0.05 z0.025 z0.01 z0.005 1.282 1.645 1.960 2.326 2.576

Answers

Answer 1

Answer:

(-0.481 , -0.144)

Step-by-step explanation:

Confidence Interval for difference is proportion formula is given as:

p1 - p2 ± z ×√[p1(1 - p1)/n1 +p2 (1 - p2)/n2]

For p1

Of the 96 people surveyed in the eastern half of a country, 42 said they fly to visit family members for the winter holidays.

n1 = 96 people

p1 = x/n

x = 42 people

p1 = 42/96

= 0.4375

1 - p1 = 0.5625

For p2

Of the 108 people surveyed in the western half of the country, 81 said they fly to visit family members for the winter holidays.

n2 = 108 people

p2 = x/n

x = 81 people

p2 = 81/108

= 0.75

1 - p2 = 0.25

99% confidence interval = 2.576

p1 - p2 ± z ×√[p1(1 - p1)/n1 +p2 (1 - p2)/n2]

= 0.4375 - 0.75 ± 2.576 ×√[0.4375(1 -0.4375)/96 +0.75 (1 - 0.75)/108]

= -0.3125 ± 2.576 × √0.4375× 0.5625/96 + 0.75 × 0.25 /108

= -0.3125 ± 2.576 × √0.0025634766 + 0.0017361111

= -0.3125 ± 2.576 × √0.0042995877

= -0.3125 ±2.576 × 0.0655712414

= -0.3125 ± 0.1689115178464

Confidence Interval

-0.3125 - 0.1689115178464

= -0.4814115178

Approximately to 3 decimal places = -0.481

= -0.3125 + 0.1689115178464

= -0.1435884822

Approximately to 3 decimal places = -0.144

Therefore, the 99% confidence interval for difference in proportion = (-0.481 , -0.144)


Related Questions

Find the measure of one interior angle of a regular 23-gon.

A. 164.3
B. 160
C. 165.6
D. 161.1

Answers

The measure of one interior angle of a regular 23-gon is 164.3°
The sum of interior angles in a polygon is given by the formula

Where is the sum of the interior angles
and is the number of sides
To find the measure of one interior angle in a regular polygon, we divide the sum of the interior angles by the number of sides. That is,
Measure of one interior angle in a regular polygon =
From the question, we are to determine the value of one interior angle of a regular 23-gon.
A regular 23-gon has 23 sides

From the formula
Measure of one interior angle in a regular polygon =
Measure of one interior angle in the regular 23-gon =
=
=
= 164.3478°
≅ 164.3°
Hence, the measure of one interior angle of a regular 23-gon is 164.3°

PLEASE SHOW ALL WORK
Maria ran 100 yards in 13.8 seconds. Mike ran 1 second slower than Maria. How long did it take Mike to run 100 yards?
Group of answer choices

14.8 seconds

15.8 seconds

12.8 seconds

Answers

Answer:

14.8

Step-by-step explanation:

Well, it says that Mike ran 1 second slower. Which means that it took more time for Mike to finish. So, you add 1 second to 13.8 seconds and the answer is 14.8.

can someone answer this question now​

Answers

Answer:

1. C 20, 23

2. A 40, 36

3. 00:25, 00:20

4. 0:54, 1:00

5. 0:31, 0:30

what is1/3 as a whole number

Answers

Answer:

0

Step-by-step explanation:

there is no way to convert it to a whole number so it would be 0

find a equation for the line below

Answers

Step-by-step explanation:

use the formula of the equation of line

The partial blueprint for an office building shows one outer wall and a perpendicular inner wall. Which of the following could be the equation of the inner wall, if the outer wall is represented by the equation y = 2/5x − 1?
Please help I am struggling really badly

Answers

Answer:

The equation of the perpendicular line:

2x + 5y = ╼ 15

Translate the triangle.
Then enter the new coordinates.

Answers

answer:

A' (-3,3) B' (-2,-1) C' (-6, -2)

A farmer wants to seed and fence a section of land. Fencing costs $27 per yard. Grass seed costs $2 per square foot. How much does it cost to fence and seed the pasture?

A land for farming has a square-shaped piece of land and an isosceles triangular shaped piece of land that share a base. The square piece of land has a side length of 450 feet. The triangle has legs of 255 feet and height of 120 feet.

Answers

Answer:

$500625

Step-by-step explanation:

$27 per yard. Grass seed costs $2 per square foot. How much does it cost to fence and seed the pasture?  A land for farming has a square-shaped piece of land and an isosceles triangular shaped piece of land that share a base. The square piece of land has a side length of 450 feet. The triangle has legs of 255 feet and height of 120 feet.     area shape square = 450 *450 Square Area = 202500 SQft  perimeter = 450* 4 =1800 Ft  TRIANGLE = Hypotenuse is given by formula H=B√2 but height is already given = 120 and 255 area = Height  * Base = 120 * 255 =Triangle Area = 30600 feet squared     perimeter = 255 * 3 = 765 Ft   fence perimeter is 765-255 = 510 feet   total area = 202500+ 30600= 233100 square foot = 233100* $2 = (*2) = $466200  total fence = 765+510 = 1275 feet = 1275(*$27) = $34425   Total cost =   466200+34425 = $500625

How much cash would you need to invest today if you knew you had to pay $1,000 each month for the next 5 years. Assume the annual interest rate is 12%. Round your answer to the nearest dollar.

Answers

Answer:

5600 $

Step-by-step explanation:

1000 multiply by 5 = 5000 multiply by 12 percent

600 add by 5000

5600

Find the 7th term in the sequence -1,-5,-25

Answers

Answer:

-125

Step-by-step explanation:

-1 × 5 = -5

-5 × 5 = -25

-25 × 5 = -125

suppose the probability you will get an A in this class is .25 and the probability you will get a B is .50. What is the probability your grade will be above a C?

Answers

Answer:

75% chance

Step-by-step explanation:

Probability always adds to 1.00

Letter grades are always in the form A, B, C, D...

The grades above a C are A, which is a 25% chance and B, which has a 50% chance. Adding these up we get a 75% chance.

#LearnWithBrainly

The probability of getting a grade above a C is 0.75, or 75%.

We have,

To calculate the probability of getting a grade above a C, you need to add the probabilities of getting an A or a B.

Given:

Probability of getting an A (P(A)) = 0.25

Probability of getting a B (P(B)) = 0.50

A grade above a C includes grades of A and B.

Therefore, the probability of getting a grade above a C (P(above C)) is:

P(above C) = P(A) + P(B)

P(above C) = 0.25 + 0.50

P(above C) = 0.75

Thus,

The probability of getting a grade above a C is 0.75, or 75%.

Learn more about probability here:

https://brainly.com/question/14099682

#SPJ3

You need 2.5 pounds of potatoes. If each potato weighs 5 ounces, how many potatoes will you need?

Answers

Answer:

40 potatoes.

Step-by-step explanation:

16 ounces make a pound, so you multiply that by 2.5 and you get 40.

Gladis bulding a stage calcuate stea

Answers

Answer:

Um... your question is imcomplete

Step-by-step explanation:

Which of the following is the best first step to convert the following equation to slope
intercept form?
2-4y =-12

Answers

Answer: y=7/2 in decimal form 3.500

Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    2-4*y-(-12)=0

Pull out like factors :

  14 - 4y  =   -2 • (2y - 7)

  Solve  :    2y-7 = 0  

Add  7  to both sides of the equation :  

                     2y = 7

Divide both sides of the equation by 2:

                    y = 7/2 = 3.500

A reference book with 250 pages has 1 page without pictures.
What percent of the pages do not have pictures?
O 0.1%
O 0.4%
O 0.5%
0 1.1%

Answers

Answer:

0.4 %

Step-by-step explanation:

Given:

total number of pages = 250number of pages without pictures = 1

Percent of pages that do not have pictures = (number of pages without pictures ÷ total number of pages) × 100%

= 1/250 × 100%

= 0.004 × 100%

= 0.4 %

Answer:

0.4%

explanation:

without pages: 1total page: 250

solve:

[tex]\sf \dfrac{1}{250} * 100[/tex]

0.4%

Last week, Thomas jogged a total of 35.209 miles on his treadmill. Two weeks ago, he jogged 38.074 miles.

How many fewer miles did Thomas jog last week than the week before?

Answers

Answer:

2.865

Step-by-step explanation:

pls rate five stars, thanks  :)

An apartment has two closets. Closet #1 is 4 feet long and 5 feet deep; Closet #2 is 6 feet long and 3 feet deep. Both closets are 8 feet tall. Which closet is larger?

Answers

Answer:

Closet #1.

Step-by-step explanation:

Closet #1 is 4x5x8, right? so, 4x5=20, and 20x8=160 feet. Closet #2 is 6x3x8, and 6x3 is 18. That's already less than 20 even before we multiply by 8. So, the answer to your question is Closet #1.

Answer:

Answer: The first closet is larger.

Step-by-step explanation:

Closet #1

V = l × w × h

V = 4 ft. × 5 ft. × 8 ft.

V = 160 cu. ft.

Closet #2

V = l × w × h

V = 6 ft. × 3 ft. × 8 ft.

V = 144 cu. ft.

Compare the size of the closets

160 cu. ft. > 144 cu. ft.

Answer: The first closet is larger.

plz help me

Using the order of operations, what is the last calculation that should be done to evaluate 4(8 − 6)52 − 6 ÷ (−3)?

4(8 − 6)52 − 6 ÷ (−3)
4(2)52 − 6 ÷ (−3)
4(2)(25) − 6 ÷ (−3)
200 − 6 ÷ (−3)
200 − (−2)

multiply 200 and -2
add 200 and -2
add 200 and 2
divide 200 and -2

Answers

Answer: 3rd one

Step-by-step explanation:

Answer:

C. Add 200 and 2

Step-by-step explanation:

Music lessons cost $20 per week. How much do 6 weeks of lessons cost?

Answers

Answer:

$120

Step-by-step explanation:

20*6=120

Answer:

$120

Step-by-step explanation:

If lessons cost $20 per week, multiply the cost ($20) by the amount of weeks (6);

20*6= 120

may anyone please help me with my math , Thank you very much. the choices are just S or N :)​

Answers

Answer:

1. N,  2. S,  3. S, 4.  S, 5.  N*

Step-by-step explanation:

By "similar," I'm assuming you mean the same thing as "like" terms.  Those are exactly the same (same variables and same exponents) but could have different coefficients (the number in front).

1. N  variables are not the same

2. S  variables are the same, exponents are the same

3. S  same variables; same exponents (x^3 y^2 is the same as y^2 x^3)

4. S

5. N first term has z^2 in it; the second does not

*P.S.  I'm having some trouble distinguishing your "two" from "zee."

If the 2nd expression is

[tex]\frac{1z zyx}{2}[/tex] then the terms are similar.

what is 600 divided by 7

Answers

Answer: It is exactly 85.7142857143

But if you would like it rounded: 85.7

I would go with the second answer.

\

The solution of the expression is,

⇒ 85.72

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The expression is,

⇒ 600 divided by 7

Now, We can divide the numbers as;

⇒ 600 divided by 7

⇒ 600 ÷ 7

⇒ 85.72

Learn more about the divide visit:

brainly.com/question/28119824

#SPJ5

Mr, Obrien needs to buy 8 television for the school. Each television costs $795. Mr. O'Brien has 120 fifty-dollar bills that he can use to pay for the televisions.
Part A.
How much will the 8 televisions cost?
Part B.
Does Mr. Obrien have enough money to buy all televisions he needs? If not, how many can he buy?

Answers

Answer:

A. $6360, B. He doesn't have enough money.

Step-by-step explanation:

Answer:

This answer is for only part A

1tv=$795

8 x 795 = 6,360

A square has a perimeter of 12x + 40 units. Which expression represents
the side length of the square in units? *
X + 4
O x + 40
O 3x + 10
3x + 43

Answers

Answer:

3x+10

Step-by-step explanation:

Since the perimeter of a square is 4 times the side length, to find the side length given the perimeter, just divide by 4:

(12x+40)/4 = 3x+10

Therefore, the answer is 3x+10

ANSWER: 3x + 10
EXPLANATION: Since there are four sides you would divide 12x and 40 by 4

Find the value of -3p²+4p+7 if p= -2​

Answers

Answer:

-13

Step-by-step explanation:

-3(-2)^2 + 4(-2) + 7

-3(4) - 8 + 7

-12 - 8 + 7

-13

Hey there!

Plug in the value of p and solve:

-3p²+4p+7

-3(-2)²+4(-2)+7

-3(4)-8+7

-12-8+7

-12-1

-13

Hence, the answer is -13.

Hope everything is clear.

Let me know if you have any questions!

#LearningDoesn'tEnd

:-)

-2b+2(b-10)=2(10+5b)

Answers

Answer:

b= -4

Step-by-step explanation:

On both sides of the equation has distributive property. We need to solve that first. Let's start with the left side of the equation.

*Positive multiplied by a negative equals a negative

-2b+2(b-10)= 2(10+5b)

-2b+2b-20= 2(10+5b)

-20= 2(10+5b)

Now let's solve the right side of the equation

-20= 20+10b

-20  -20

-40 = 10b

-40/10 = 10b/10

b= -4

Hope this helps!

How many square feet of carpet are needed to cover the floor of a rectangular room 18 ft. by 12 ft.?

Answers

Answer: Area of the rectangular room = length x Breadth

Length= 18 and Breadth = 12

Therefore the Area required to cover the floor = 18 * 12 = 216 ft2

The area of the rectangular room is given by the equation A = 216 feet²

What is the Area of a Rectangle?

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the rectangle be represented as A

Now , the equation will be

The length of the rectangular room = 18 feet

The width of the rectangular room = 12 feet

Area of Rectangle = Length x Width

Substituting the values in the equation , we get

Area of the rectangular room = 18 feet x 12 feet

On simplifying the equation , we get

Area of the rectangular room A = 216 feet²

Therefore , the value of A is 216 feet²

Hence , the area of the rectangular room is 216 feet²

To learn more about area of rectangle click :

https://brainly.com/question/15225905

#SPJ2

Q: give answer in decimal to the nearest tenth of a cm

Answers

Answer:

the nearest tenth of the cm is 6.9 cm

I really need help please, any Expert willing to help me out? I don’t understand on #2, for a,b, and c.

Answers

Step-by-step explanation:

a) Tangent equals sine divided by cosine.  Therefore:

tan(-t) = sin(-t) / cos(-t)

b) Using the fact that sin(-t) = -sin(t) and cos(-t) = cos(t):

tan(-t) = -sin(t) / cos(t)

tan(-t) = -tan(t)

c) A function is symmetric about the origin if f(-x) = -f(x) (in other words, if it's an odd function).  Therefore, y = tan(t) is symmetric about the origin.

Xavier drove his car 70 miles with 7 gallons of fuel. How many more miles can he drive if he added 1 gallon of fuel?

Answers

i think 10 more miles.

70/7=10

which means he gets 10 more miles for every gallon of fuel

write this ratio as a fraction in simplest form without any units
21 days to 5 weeks

Answers

Answer:

21/5

Step-by-step explanation:

21/5

Or

21/25

........

Other Questions
what is chlorophyll in photosynthesis? The measure of one angle is 130. Which statement is true regarding the 130 angle and angle 3? They are same-side interior angles, so angle 3 measures 50. They are alternate interior angles, so angle 3 also measures 130. They are corresponding angles, so angle 3 also measures 130. They are alternate exterior angles, so angle 3 measures 50. 14. Supreme Court Justice John Paul Stevens was appointed to the Supreme Court by Richard Nixon (a Republican). During his time on the Court, he was regularly a liberal voice, which irritated Republicans. Could President Bush have removed Stevens from the Court? __YES / NO__Why or why not? Where is this addressed? Hint: It can be found in Article III, find the section A mixture of sodium hydroxide, naoh(s) and benzoic acid, hc7h5o2(s), consists of a total of 0. 50 moles. This mixture is dissolved in 1. 0 l of water and the ph of the resulting solution is determined to be 12. 52. Find the mole fraction of benzoic acid in the initial mixture Describe tour expected impacts of global warming, In the production of textiles, women would gather and clean the fibers. once these were complete, the next step would be to ___________________. a. weave the fibers into textiles using a loom. b. comb and sort the fibers. c. dye the fibers using ochers. d. spin the fibers into thread. please select the best answer from the choices provided a b c d IF YOU ANSWER THIS QUESTION CORRECTLY I'LL GIVE YOU BRAINLIESTThe Pharaoh was assisted in governing by a ____.A) vizierB) satrapC) priestD) governorSays the correct answer: FIRST = Brainliest, Thanks, 5 stars, and praise.Correct answer: Thanks, 5 stars, and praise.Incorrect answer: 2 stars (Nothing personal).Odd answer like: GPUO:FYG: 1 star and report.Links: 1 star and report. Do you agree or disagree with Kinsey that sexuality is a fluid concept, ranging on a seven-point scale from homosexual to heterosexual? Or, do you think these are discrete constructs that have finite points where they begin and end sexuality? Someone Please Help!! ASAP!!!!!!What trend do you notice about the relative amount of carbon dioxide in the atmosphere over time? And for oxygen? What factors could cause changes in the carbon dioxide and oxygen gas levels of Earths atmosphere? What istrument is use to draw horizontal lines? -2w - 5w =Please help me its due tomorrow (07.05)A random sample of students at Spectrum University was asked to estimatethe average number of minutes they spent on social media per day and theirgrade point average (GPA). The data are shown in the table.Minutes Spent on SocialMedia35 58 6164 72 75 79 101 115Grade Point Average3.9 3.6 3.55 3.5 3.2 3.5.3 2.8 2.5A researcher wants to determine whether there is a relationship between thenumber of minutes spent on social media each day and GPA. What are theappropriate testing hypotheses? Find the error with subject-verb agreement. Select the incorrect verb and type it correctly.At the Naval Surface Warfare Center outside of Washington D.C a sophisticated indoor ocean that can recreate eight different open-water conditions are used to test models ofships. PLEASE HELP IM BEGGING:)))Complete the following questions related to the market supply for apples:1) In which of the following markets would the supply of apples be more inelastic?(T 1 mark)a) apples in the present growing season.b) apples in the next 10 years.2) Justify your answer for question 1 by using at least two of the factors that affectthe elasticity of supply. (T 1 mark C 2 mark) Identify the parts of the sentence below. The anxious college freshman waited patiently to buy his books. Column A 1. The anxious college freshman: The anxious college freshman 2. freshman: freshman 3. waited patiently to buy his books: waited patiently to buy his books 4. waited: waited Column B a. Simple predicate b. Complete subject c. Complete predicate d. Simple subject A person invests 6500 dollars in a bank. The bank pays 4% interest compounded daily. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 8900 dollars? please put A counter claim and conclusion paragraph for my essay Taller de aire acondicionado para autos cerca de mi. why is my but red i need to know Which would prove that ab ac? converse of the isosceles triangle theorem substitution definition of congruency converse of the triangle parts relationship theorem