One of the questions Rasmussen Reports included on a 2018 survey of 2,500 likely voters asked if the country is headed in right direction. Representative data are shown in the DATAfile named Right Direction. A response of Yes indicates that the respondent does think the country is headed in the right direction. A response of No indicates that the respondent does not think the country is headed in the right direction. Respondents may also give a response of Not Sure.
(a) What is the point estimate of the proportion of the population of respondents who do think that the country is headed in the right direction?
(b) At 95% confidence, what is the margin of error for the proportion of respondents who do think that the country is headed in the right direction?
(c) What is the 95% confidence interval for the proportion of respondents who do think that the country is headed in the right direction?
(d) What is the 95% confidence interval for the proportion of respondents who do not think that the country is headed in the right direction?
(e) Which of the confidence intervals in parts (c) and (d) has the smaller margin of error? Why?
The confidence interval in part (c) has a (Smaller or Larger) margin of error than the confidence interval in part (d). This is because the sample proportion of respondents who do think that the country is headed in the right direction is (closer to .5 / closer to 1 / farther from .5 / farther from 1) than the sample proportion of respondents who do not think that the country is headed in the right direction.
Dataset:
553 - No
70 - Not Sure
384 - Yes

Answers

Answer 1

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

553 - No

70 - Not Sure

384 - Yes

Total = (553 + 70 + 384) = 1007

Proportion who do think country is headed in the right direction :

P = yes / total = 384/1007 = 0.381

b.) Error margin at 95%

Margin of Error = Zcritical * √p(1-p)/n

1-p = 1 - 0.381 = 0.619

Zcritical at 95% = 1.96

Margin of error = 1.96 * √0.381(0.619)/1007

Margin of error = 0.030

C.)

95% confidence interval for heading in the right direction:

P ± margin of error

P ± 0.030

Lower boundary = 0.381 - 0.030 = 0.351

Upper boundary = 0.381 + 0.030 = 0.411

(0.351 ; 0.411)

D.)

Confidence interval for people who don't think :

P = 553 / 1007 = 0.549

Confidence interval = P ± margin of error

Error margin at 95%

Margin of Error = Zcritical * √p(1-p)/n

1-p = 1 - 0.549 = 0.451

Zcritical at 95% = 1.96

Margin of error = 1.96 * √0.549(0.451)/1007

Margin of error = 0.031

P ± margin of error

P ± 0.031

Lower boundary = 0.549 - 0.031 = 0.518

Upper boundary = 0.549 + 0.031 = 0.580

(0.518 ; 0.580)

E.)

The interval with smaller error margin is ; 0.030 (those who think country is headed in the right direction because sample proportion is farther from .5 / farther from 1)


Related Questions

Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is a viable solution if x represents the number of the days that a library book is late and y represents the total fee?

Answers

Answer:

x + $0.30 = y

Step-by-step explanation:

hope this helps!

Answer:

(x,0.3*x)

Step-by-step explanation:

the equation would be 0.3*x=y where x is days and y is total cost. so the ordered pair would be (x,y). swapping 0.3*x for y is where (x,0.3*x) is derived from. Since there will be no negative days and the fee only applies at midnight x must be positive and an integer.

A high school track is shaped as a rectangle with a half circle on either side.
A rectangle has a length of 96 meters and width of 35 meters. 2 semicircles with diameters of 35 meters are on each end of the rectangle.
Jake plans on running four laps. How many meters will Jake run? Use 3.14 for Pi.

301.9 m

823.6 m

1,207.6 m

1,647.2 m

Answers

Answer:

Option (3)

Step-by-step explanation:

Track is shaped as a rectangle with a semicircle on either side.

Therefore, length of the track = 2(Length of rectangle) + perimeter of a complete circle formed by joining the semicircles on each side.

= 2(96) + 2πr

= [tex]192+2\pi (\frac{35}{2})[/tex]

= 192 + 35π

= 192 + 109.9

= 301.9 m

Since, Jake plans to run four laps.

Therefore, distance covered by Jake = 4 × 301.9

                                                              = 1207.6 m

Option (3) will be the correct option.

Answer:

C

Step-by-step explanation:

i did the test and got it right :D

How to determine the percentage of total expenses which is allocated to salary ? Please help ​

Answers

Answer:

(s/t)(100%)

Step-by-step explanation:

Represent salaries by s and total expenses by t.  Then the fraction of total expenses allocated to salary is

  s

------

  t

and so the percentage of total expenses which is allocated to salary is

(s/t)(100%)

Answer:-

Here,

we have to determine the percentage of total expenses which is allocated to salary.

Let,

The salary is denoted by (S)The total expenses value by (T)

The percentage of total expenses allocated to salary is,

[tex]\bold{Percentage=\dfrac{salary}{total~expenses}×100   }[/tex] 

[tex]\sf{Percentage=\dfrac{S}{T}×100 }[/tex] 

What is the scale factor of AXYZ to AUVW?

Yes

Answers

Answer:

C

Step-by-step explanation:

60÷6=10, 90÷9=9, 75÷7.5=10, It divided by 10 so it's 1/10

The scale factor of dilation of the triangle is k = 1/10

What is Dilation?

Resizing an item uses a transition called Dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. Dilation transformations ensure that the shape will stay the same and that corresponding angles will be congruent

The result of dilation is that the shapes and boundaries of objects in the input image are expanded or thickened. It is often used in conjunction with other morphological operations such as erosion, opening, and closing to manipulate and enhance images.

Given data ,

Let the first triangle be ΔXYZ

Let the second triangle be ΔUVW

Now , the measure of sides of ΔXYZ = { 60 , 75 , 90 }

And , the measure of sides of ΔUVW = { 6 , 7.5 , 9 }

So , the scale factor of dilation is given by k

where k = measure of side ΔUVW / measure of side ΔXYZ

k = 6 / 60

k = 1/10

Hence , the dilation factor is k = 1/10

To learn more about dilation click :

https://brainly.com/question/13176891

#SPJ7

Calculate the area of the following Circle

Answers

Answer:

324

Step-by-step explanation:

Circles are 100% even. If you add another line going opposite direction you would multiply 18x18. You get 324.

please help ill give brainliest I need this answer​

Answers

Answer:50

Step-by-step explanation:8+7x =9x-4 2x =12 x =6 so 8+42=50

Answer:

50°

Step-by-step explanation:

These 2 angles are vertically opposite, meaning they equal each other.

This gives the equation 9x-4=7x+8.

Subtracting 7x from both sides gives 2x-4=8.

From there, you want to add 4 to both sides, leaving 2x=12.

In order to isolate the x, divide both sides by 2. This creates a final result of x=6.

We want to find the angle given by 8+7x. Since we know x, we can sub it with its value (6). This makes the equation 8+7×6.

We can then solve this to 8+42, and even further to 50°.

**This content involves transversals and solving algebraic equations, which you may wish to revise. I'm always happy to help!

5 (v+1) -v = 4 (v-1) +9

Answers

Answer:

All real numbers are solutions.

Step-by-step explanation:

Our goal is to isolate "v" on one side of the equation. Let's do this step by step.

5(v+1)−v=4(v−1)+9

Step 1: Simplify both sides of the equation.

5(v + 1) − v = 4(v−1) + 9

(5)(v) + (5)(1) + −v = (4)(v) + (4)(−1) + 9(Distribute)

5v + 5 + −v = 4v + −4 + 9

(5v + −v) +(5) = (4v) + (−4 + 9) (Combine Like Terms)

4v + 5 = 4v + 5

4v + 5 = 4v + 5

Step 2: Subtract 4v from both sides.

4v + 5 − 4v = 4v + 5 − 4v

5 = 5

Step 3: Subtract 5 from both sides.

5 − 5 = 5 − 5

0 = 0

This means that all real numbers are solutions.

Any real number could be "v."

Hope this helps, please mark brainliest if possible. Have a great day.

Answer:

All numbers are solutions

Step-by-step explanation:

sushil was thinking of a number. sushil halves it and gets an answer of 22.2, what was the original number?

Answers

Answer:

44.4

Step-by-step explanation:

Let,

The number thought by Sushil = x

When halved = x/2

We know that,

When the number is halved then it becomes 22.2

Therefore,

The original number is,

[tex] = > \frac{x}{2} = 22.2[/tex]

=> x = 22.2 × 2

=> x = 44.4 (Ans)

A simple random sample of 44 men from a normally distributed population results in a standard deviation of 10.7 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.10 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute.a. Identify the null and alternative hypotheses.
b. Compute the test statistic; χ2 = ___ .
c. Find the​ P-value; ​P-value = ____.d. State the conclusion.

Answers

Answer:

Step-by-step explanation:

The Hypothesis :

H0 : σ = 10

H1 : σ ≠ 10

The Chisquare statistic, χ² ;

χ² = [(n-1) * s²] ÷ σ²

Sample size, n = 44 ; sample Standard deviation, s = 10.7 ; population standard deviation, σ = 10

χ² = [(44 - 1) * 10.7²] ÷ 10²

χ² = [43 * 114.49] ÷ 100

χ² = [4923.07] ÷ 100

χ² = 49.2307

Using the Pvalue from Chisquare calculator :

degree of freedom, df = n - 1 = 44 - 1 = 43

Pvalue = 0.238

In a freshman class of 80 students,22 students take Consumer Education,20 students take French,and 4 students take both.Which equation can be used to find the probability,P, that a randomly selected student from this class takes Consumer Education, French,or both?

A: P = 11/40 + 1/4 + 1/20

B: P = 11/40 + 1/4

C: P = 11/40 + 1/4 - 1/20

D: P = 11/40 + 1/4 - 1/10

Answers

Answer: Choice C

P = 11/40 + 1/4 - 1/20

=========================================================

Explanation:

The formula we use is

P(A or B) = P(A) + P(B) - P(A and B)

In this case,

P(A) = 22/80 = 11/40 = probability of picking someone from consumer educationP(B) = 20/80 = 1/4 = probability of picking someone taking FrenchP(A and B) = 4/80 = 1/20 = probability of picking someone taking both classes

So,

P(A or B) = P(A) + P(B) - P(A and B)

P(A or B) = 11/40 + 1/4 - 1/20

which is why choice C is the answer

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

Note: P(A and B) = 1/20 which is nonzero, so events A and B are not mutually exclusive.

What's the Area of the parallelogram

Answers

Answer:

30

Step-by-step explanation:

Area of a parallelogram = base length * height

The parallelogram has a given base length of 10 cm and a given height of 3 cm

Hence, area = 10 * 3 = 30cm^2

Select the correct answer.
What is the solution to this equation?
log3 (4x) – 2log3x =2

A. 36
B. 9/4
C. 4/9
D. 1/36

Answers

9514 1404 393

Answer:

  C.  4/9

Step-by-step explanation:

There are a couple of ways you can do this.

  [tex]\log_3{4x}-2\log_3{x}=2\\\\\log_3{4}+\log_3{x}-2\log_3{x}=2\\\\\log_3{4}-2=\log_3{x}\\\\4\cdot3^{-2}=x\qquad\text{take antilogs}\\\\\boxed{x=\dfrac{4}{9}}\\\\\textsf{or}\\\\\dfrac{4x}{x^2}=3^2\qquad\text{take antilogs}\\\\\dfrac{4}{9}=x\qquad\text{cancel $x$, multiply by $\dfrac{x}{9}$}[/tex]

Which statement best explains the relationship
between lines AB and CD?

a. They are parallel because their slopes are equal.

b. They are parallel because their slopes are negative
reciprocals.

c. They are not parallel because their slopes are not
equal.

d. They are not parallel because their slopes are
negative reciprocals.

Answers

Answer:

A) they are parallel because their slopes are equal.

Step-by-step explanation:

Parallel means that their slopes are equal

If they were negative reciprocals they would be perpendicular.

es urgente

Resuelve cada ecuación. Si tu respuesta es correcta podrás completar con ella la información que esta abajo y aprender también sobre la naturaleza


X - ( x – 10 ) + 50 + (20 - x ) = – 50

Answers

Answer:

I hope I've helped /espero haberte ayudado

F=(2xy +z³)i + x³j + 3xz²k find a scalar potential and work done in moving an object in the field from (1,-2,1) to (3,1,4)​

Answers

Step-by-step explanation:

Given:

[tex]\textbf{F} = (2xy + z^3)\hat{\textbf{i}} + x^3\hat{\textbf{j}} + 3xz^2\hat{\textbf{k}}[/tex]

This field will have a scalar potential [tex]\varphi[/tex] if it satisfies the condition [tex]\nabla \times \textbf{F}=0[/tex]. While the first x- and y- components of [tex]\nabla \times \textbf{F}[/tex] are satisfied, the z-component doesn't.

[tex](\nabla \times \textbf{F})_z = \left(\dfrac{\partial F_y}{\partial x} - \dfrac{\partial F_x}{\partial y} \right)[/tex]

[tex]\:\:\:\:\:\:\:\:\: = 3x^2 - 2x \ne 0[/tex]

Therefore the field is nonconservative so it has no scalar potential. We can still calculate the work done by defining the position vector [tex]\vec{\textbf{r}}[/tex] as

[tex]\vec{\textbf{r}} = x \hat{\textbf{i}} + y \hat{\textbf{j}} + z \hat{\textbf{k}}[/tex]

and its differential is

[tex]\textbf{d} \vec{\textbf{r}} = dx \hat{\textbf{i}} + dy \hat{\textbf{j}} + dz \hat{\textbf{k}}[/tex]

The work done then is given by

[tex]\displaystyle \oint_c \vec{\textbf{F}} • \textbf{d} \vec{\textbf{r}} = \int ((2xy + z^3)\hat{\textbf{i}} + x^3\hat{\textbf{j}} + 3xz^2\hat{\textbf{k}}) • (dx \hat{\textbf{i}} + dy \hat{\textbf{j}} + dz \hat{\textbf{k}})[/tex]

[tex]\displaystyle = (x^2y + xz^3) + x^3y + xz^3|_{(1, -2, 1)}^{(3, 1, 4)}[/tex]

[tex]= 422[/tex]


The sum
of two consecutive
integers is 8,641.
What is the smallest integer?

Answers

Answer:

sim eu também preciso desta respota

name the plane represented by the back of the box.

I already tried and got it wrong so if you're gonna answer pls explain how you got your answer, thanks​

Answers

Answer:

ADH

Step-by-step explanation:

The back of the box is AEDH  ( points on the corners)

You need 3 points to name a plane that are not in a line

ADH is one name

ADE is another name

What points does y-4=-2(x-6) go through

Answers

Answer:

(6, 4)

Step-by-step explanation:

y-4=-2(x-6) <=> y-y1 = s(x-x1)

(x1, y1) => (6, 4)

Somebody please help me asap​

Answers

Answer:

sum of angles in a triangle = 180°

180-(90+21)

= 69

pls am I correct

Your answer is going to be 69

Am I correct if not plz asap help I have less Than 4 minutes

Answers

Yes it is I think hope this helps

A group of 3 boys is sharing 4 small pans of rice krispie treats. What is the total amount of rice krispie treats each boy will get?

Answers

Answer:

each boy will get 1.33333333333 of a pan

Step-by-step explanation:

Answer:

Each boy in that group would get about 1 and 1 third of a pan of treats or 1.33 repeating

Step-by-step explanation:

To find this you would take the numbers of pans (4) and divide it by the number of boys (3).

4 / 3 = 1.33333

oscar is buying soil for his plants. he needs to fill one pot with 8 cups of soil and another pot with 3 gallons of soil. if the price of soil is $2.50 per quart, how much, in dollars, will he pay in all?


PLEASE HELP

Answers

Answer:

Total dollars = 35 dollars.

Step-by-step explanation:

Below is the given values:

Number of cups = 8 cups

Number of gallons = 3 gallons

Price of soil per quart = $2.50

Now convert the cups and gallons into quart.

Total quart = 8 cups + 3 gallons

Total quart = 8 / 4 quart + 3 x 4 quarts

Total quart = 2 quart + 12 quart

Total quart = 14 quart

Total dollars amount = $2.50 per quart x 14 quart

Total dollars = 35 dollars.

Give the domain and range of the quadratic function whose graph is described. Maximum = - 4 at x = 10 The domain of the function is . (Type your answer in interval notation)​

Answers

Answer:

it is a parabola with max of -4

so domain (-∞,∞)

Step-by-step explanation:

what is the solution for 3(x+3)=12

Answers

Answer: 3×4=12

Step-by-step explanation:

Brackets: X=1 , so 1+3=4 and 3+4=12

Mario compares random download times of movies from three different services using the table below.
Service
Download Time
(minutes)
4.9.4.7, 5.0, 4.6, 4.8
Who Knew
Amazing
Prime
4.6. 4.6. 4.8.4.6, 4.9
Peach TV
4.9.4.9, 5.1, 5.0, 5.1
Which service provides the fastest mean download speed?

Answers

Answer:

Who Knew Mean = 4.825

Amazing prime mean =

Peach TV mean = 5.025

Amazing prime wins the fastest speed with 4.75 seconds. Hope this helps!

4.826 i’m not sure i tried though

explanation 4.9-79-638

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
x + y = 3

Answers

Answer:

See below.

Step-by-step explanation:

x + y = 3

Subtract x from both sides:

x - x + y = 3 - x

y = -x + 3 which is slope-intercept form.

if 6 is added to three quarters of a certain number, the result is 42 . Find the original number​

Answers

Answer:

Step-by-step explanation

Hello!

3x/4 + 6=42

3x/4=42-6 = 36

3x = 36*4

3x = 144

x= 144/3 =48

3/4 of  48  = (48*3)  / 4 =36

36+6=42

the original number​ is 48

Answer:

x=48

Step-by-step explanation:

3x/4+6=42

3x/4=42-6

3x/4=36

cross multiply

3x/3=144/3

x=48

A bicycle shop owner

Answers

Answer:

275, 350, 450, 550, 675

Step-by-step explanation:

Arrange in order

275, 300, 450, 490, 675

range 275 to 675

median 450

mean 438

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

Raise 300 to 350

Raise 490 to 550

New set of prices

275, 350, 450, 550, 675

range 275 to 675     same

median 450     same

mean 460    increased

1. The arithmetic mean of roots of the quadratic equation x^2- 10x+16=0 is​

Answers

Answer:

5

Step-by-step explanation:

x^2 - 10x + 16 = 0

factor

(x - 2)(x - 8) = 0

roots

x = {2, 8}

mean of roots

a = (2 + 8) /2

a = 5

Write an equation for a line perpendicular to y = -5x - 4 and passing through the point (-5, -4) ​

Answers

Answer:

Step-by-step explanation:

A perpendicular slope is one that is the opposite reciprocal of the one given. The line given, y = -5x - 4, is a line in slope-intercept form where m is the slope and b is the y-intercept. That means that the slope of the given line is -5; therefore, the perpendicular slope is 1/5. Passing through the point (-5, -4), we have

[tex]y-(-4)=\frac{1}{5}(x-(-5))[/tex] which simplifies a bit to

[tex]y+4=\frac{1}{5}(x+5)[/tex] That's the line in point-slope form, so let's also get it into slope-intercept form, which means that we solve the point-slope form equation for y:

[tex]y+4=\frac{1}{5}x+1[/tex] and

[tex]y=\frac{1}{5}x+1-4[/tex] gives us, finally,

[tex]y=\frac{1}{5}x-3[/tex]

Other Questions
Unit 2: Technology and Production Tools / Determine knowledge Which of the following statement is true regarding external hard drives? It is a portable version of the computer's internal hard drive. DOC External hard drives only connect via universal serial bus (USB). External hard drives only connect via FireWire cable. It is a portable version of a thumb drive. One attempt I don't know. Brainstorm a list of at least 10 questions about this artwork.Review the list of questions you made and star the questions that seem the most interesting to you.Select one of the starred questions and discuss it in detail on the discussion post.Please positively comment and add ideas on at least three discussion posts.What new ideas do you have about the artwork that you did not have before? PLEASE HELP URGENT Give evidence and proof no links1/What is the correct written expression for the variable expression: (3 - x)/7 *the difference of 3 and x divided by 73 divided by the difference of 7 and xthe sum of 3 and x divided by 7the difference of 3 divided by 7 and x2.Johnny is 5 less than 3 times the age of Elizabeth. If Elizabeth is e years old, which expression shows Johnny's age? *3e - 53e + 55 - 3e5 + 3e3.What is the value of 4a - 7b - 8, when a = 7 and b = 3? *115-1-454.Jose has g video games. Tony has 8 fewer games than Jose. What variable expressions represents the total number of video games Jose and Tony have? *g + 82g + 8g - 8g + (g - 8)5. Which written expression represents the variable expression 1/2 (8 - y) *One half of eight less than a number yA number y less than half of eightOne half the difference between eight and a number ythe difference of one half of eight and a number y 10.What were we trying to prove about Mars by making our claims aboutthe channel on Mars?that Mars was once habitablethat Mars was better to live on than the Earththat Mars had rocksthat Mars had volcanoes Estimate the perimeter and the area of the shaded figure to the nearest tenth. i need help asapi need to know how to show work Add one of the prefixes below to the root word so that it matches the meaning in parentheses.Root word: approval Prefixes mis- re- dis- pre- (Meaning: the act of turning down; opposition) Please help no files just type it in please and thank you Three trees are planted. The direct distance from tree A to tree B is 200 feet. The direct distance from tree B to tree C is 300 feet. Which of the choices could be the direct distance from tree A to tree C? 28. An aquarium is 7 feet long, 4 feet wide, and 4.8 feet deep. What is the volume of the tank? Question please help me 4. Which definition BEST describes how mood influences poetry?A. Mood expresses the attitude of the poet.B. Mood creates an emotional connection with the reader.C. Mood justifies the descriptive word choices the poet makes.D. Mood establishes the message about life the poet wishes to convey. What is the human female reproductive cycle regulated by? Please help need answer. NO LINKS Jeremy has heard a lot of people in the club talking about tackling a 950-foot rock formation. Jeremy has set a limit that they wont climb anything that takes longer than 7 hours, so they have enough time to travel to and from the place. Will it be possible to climb a 950-foot rock formation within Jeremys time constraint? Explain why or why not. The product of ______________ and (-1) is -35. Which sentences use parentheses and brackets correctly? Check all that apply. The work indeed sold at auction [although the winning bid [$150] was low]. He claims that the event will have "a major artistic and economic impact" [italics added]. The meeting (facilitated by Jessa (first half) and Ravi (second half)) was on Tuesday. "Texting while driving is never safe," Sanchez says ([italics added]). K. Jones's first novel (Blue Sky [B&R Press, 1995]) was a runaway success. what is spyware and what is it function? give 5 application of Charles law Please answer the question