A survey was run by a high school student in order to determine what proportion of mortgage-holders in his town expect to own their house within 10 years. He surveyed 35 mortgage holders and found that the proportion of these that did expect to own their house within 10 years is 0.51. The student decides to construct a 95% confidence interval for the population proportion. a)Calculate the margin of error that the high school student will have. Give your answer as a decimal to 2 decimal places. Margin of error

Answers

Answer 1

Answer:

The margin of error is of 0.17.

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]

He surveyed 35 mortgage holders and found that the proportion of these that did expect to own their house within 10 years is 0.51.

This means that [tex]n = 35, \pi = 0.51[/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].

a)Calculate the margin of error that the high school student will have.

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

[tex]M = 1.96\sqrt{\frac{0.51*0.49}{35}}[/tex]

[tex]M = 0.1656[/tex]

Rounding to 2 decimal places, the margin of error is of 0.17.


Related Questions

You get a single payment loan of $4,400 at an interest rate of 12% the term of the loan is 172 days how much exact interest will you pay

Answers

9514 1404 393

Answer:

  $248.81

Step-by-step explanation:

The interest formula is ...

  I = Prt

where principal P earns interest at annual rate r for t years. Here, t is a fraction of a year: 172/365. The interest is ...

  I = $4400×0.12×172/365 ≈ $248.81

You will pay interest of $248.81.

Answer:

$ 248. 81 is the answer.

Step-by-step explanation:

[tex] \carryonlearning[/tex]

What is the area of a triangle with a base of 4.8 mm and a height of 3.7
mm? *

Answers

Answer:

8.88 square mm

Step-by-step explanation:

The formula for solving a triangle is base multiplied by height divided by 2 or 1/2(b)(h)

So by plugging in what you have, you'll get 1/2(4.8)(3.7) as your equation. 4.8(3.7) = 17.76 which simplifies your equation to 1/2(17.76) or 17.76/2.

17.76/2 = 8.88

So, the area of the triangle is 8.88 square millimeters.

Of 220 seventh-grade students, 25% earn the Community Service Award. How many students earn the award?

Answers

Answer:

55 students

Step-by-step explanation:

all you do is 220*.25 and you get the answer

www.kumospace.com/suzi123lamo456

Answers

Cool







Not clicking on the link

What is the right answer please

Answers

Answer:

a is the answer my aunt told me she is a teacher

what is the area of the donut pictured below? use 3.24 for pi

Answers

C (235.5mm^2) is the answer

(d) Work out
1
4 of 28 kg.

Answers

Step-by-step explanation:

[tex]here \: is \: your \: soution \\ \\ (1 \div 4) \times 28 \\ \\ 28 \div 4 = 7 \\ \\ 7 \: is \: your \: answer \\ \\ hope \: it \: help[/tex]

what is the square root 165​

Answers

Answer:

12.8

Step-by-step explanation:

Answer:

12.8452325787

Step-by-step explanation:

A photocopy machine can copy 42 pages every two minutes. How many pages can it
photocopy in 5 minutes?

Answer choices
4.2
420
105
21

Answers

Answer:

C. 105

Step-by-step explanation:

2 min → 42 pages5 min → x

Cross-multiply and solve for x:

x = 5*42/2x = 105 pages

Correct choice is C


a. Find three rational numbers between 1/4 and 0.25 repeating
b. Find three rational numbers between 1/3 and 0.34 repeating

Answers

a. 0.250006, 0.250007, 0.250008
b. 0.3330001, 0.3330002, 0.3330003

By using the definition of rational numbers, we can get:

a)  0.2501,  0.2502,  0.2503b) 0.334, 0.335, 0.336

How to find rational numbers?

Remember that a rational number is a number of the form:

N = a/b

Where a and b are integer numbers. Also, any number with a finite number of digits (or infinite repeating) after the decimal point is a rational point.

a) First, we want to find 3 rational numbers between 1/4 and 0.252525...

We can rewrite:

1/4 = 0.25

Then we want to find 3 rationals between 0.25 and 0.2525...

For example, 0.2501 meets this requirement, is larger than 0.25 and smaller than 0.2525...

Another two examples will be 0.2502 and 0.2503

b) Now we have 1/3 = 0.333... and 0.3434...

3 rational numbers between these two are:

0.333... < 0.334 < 0.3434...

0.333... < 0.335 < 0.3434...

0.333... < 0.336 < 0.3434...

If you want to learn more about rational numbers, you can read:

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How do we find the amount of change?

Answers

Step-by-step explanation:

Bigger -smaller

hope it is helpful to you

Bigger- Smaller
I hope it’s right

What is the perimeter of the square below ?
5 inches

Answers

Answer: Where is the square?

Step-by-step explanation:

Select the best answer for the question.
7. There are 250 mL of D5W infusing at 33 gtt/
min on IV tubing calibrated at 10 gtt/mL. What is the
infusion time?
O A. 1 hour and 16 minutes
OB. 1.5 hours
O C. 1 hour
O D. 2 hours
Mark for review (Will be highlighted on the review page)
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FULL
non

Answers

Answer:

A. 1 hour and 16 minutes

Step-by-step explanation:

There are 250 mL of D5W infusing at 33 gtt/min on IV tubing calibrated at 10 gtt/mL.  Calculate the infusion time.

select "No IV pump"

volume = 250 mL

rate = 33 gtt/min

calibration = 10 gtt/mL

Actual formula:

250 /( 33 gtt/min

10x  60)= 1.26 Hours

0.26 x 60 = 16 minutes

So 1.26 Hours = 1 Hour & 16 minutes

hope this will help you

perimeter and area of a rectangular figure has a perimeter of 34cm its length is 9cm​

Answers

Answer:

Perimeter of rectangle = 32

Step-by-step explanation:

32 = 2(L+B)

L+B=16

B=16-L

B=16–9

B=7

AREA = L*B

AREA = 63sq.cm


Roger is standing next to a tree where his shadow is 3 feet long and the shadow of the tree is 18 feet long.
If Roger is 4.5 feet tall, what is the height of the tree?
O A. 12 ft
OB. 16.5 ft
O C. 19.5 ft
OD. 27 ft​

Answers

Answer:

the answer should be 27 ft

sorry if I'm wrong

The height of the tree will be 27 ft. The correct option is D.

What is trigonometry?

The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.

Given that Roger is standing next to a tree where his shadow is 3 feet long and the shadow of the tree is 18 feet long. If Roger is 4.5 feet tall.

The height of the tree will be calculated as,

Height = ( 18 x 4.5 ) / 3

Height = 6 x 4.5

Height = 27 ft

Hence, the height will be 27 ft.

To know more about trigonometry follow

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its de in 20 min help me pls and thank you

Answers

Factor: (x - 8)(x - 4)
Zeros: x = 8, 4
Square: (x - 6)^2 - 4
Vertex: y = (x - 6)^2 - 4
X intercepts: (8,0), (4,0)
Y intercepts: (0, 32)

Pleasssssssssssssssssssssssse help ASAP

Answers

Answer:

Yellow = 18 spools of ribbon

Blue = 15 spools of ribbon

Bobby will have 3 more spools of yellow ribbon.

Sylvia made 32 of her 50 free throws at basketball practice.
What percent of her free throws did she miss?

Answers

Answer: 36%

Step-by-step explanation: A simple way to figure out is to do 32/50 times 2. This makes it 64/100. 100 minus 64 is 36 which is the percent on how much free throws she mised

64 percent
Reason If you divide 32 by 50 you get 0.64 if u take always the zero and period u would have 64 percent

what is the unit rate of 10 1/3 miles per 1/6 hour
A. 60 mph B. 61 C. 62 D. 63

Answers

C. 62

Multiply 10 1/3 by 6
This equals 62 mph

Select the graph for the solution of the open sentence. Click until the correct graph appears.

|x| < 1

Answers

The right answer is the second graph aka the one on the right

Answer:

|x| < 1x < 1 and x > - 1

The solution is:

- 1 < x < 1

The correct graph is the third one

(thicker segment between points -1 and 1 with open dots)

1.) Solve the following systems of equations graphically. The solution is y=x+3 y= -x-5

Answers

key ans lang yan sana makatulong HAHAHA

What is the length of the diagonal?
18 cm
9 cm

Answers

It’s 27 but I’m not 100% sure because I’m need more content

ANSWER IMMEDIATELY! GIVING BRAINLIEST !!

Answers

Answer:

h = 14 units

Step-by-step explanation:

area of parallelogram = bh

plug everything in: 84 = (6)h

h = 84/6 = 14

Help help me please and tell me where to put the graph points please

Answers

Answer:

y=MX+B

Step-by-step explanation:

the 4 you will put it on the y axis and you'll go down 1 since it's negative and 5 times to the right since it's positive

i need help please it's due today

Answers

Step-by-step explanation:

work is on the paper for you, somthing that might help you with your future with math is PEMDAS always do exponents first when it's an equation like your first, second, and third question. I hope this helped.

When rounded to the ten thousands place, which of the numbers below round to 230,000

Answers

Answer:

Here are some correct options:

225,891

234,567

232,987

Step-by-step explanation:

ANSWER......................

-2x+8x 4>−8

Answers

Answer:

x= 3/2 after u like simplify

Step-by-step explanation:

1 Add 44 to both sides.

8x=8+4

8x=8+4

2 Simplify  8+48+4  to  1212.

8x=12

8x=12

3 Divide both sides by 88.

x=\frac{12}{8}

x=

8

12

4 Simplify  \frac{12}{8}

8

12

  to  \frac{3}{2}

2

3

.

x=\frac{3}{2}

x=

2

3

A lawyer has 4 clients to meet. In how many different ways can he make
his rounds if he meets each client once?

Answers

Answer:24

Step-by-step explanation: 4x3x2x1

The product of a whole number 'n' with every whole number until 1 is called the factorial. The number of ways the lawyer can meet the client is 24 or 4!.

What is a factorial?

The product of a whole number 'n' with every whole number until 1 is called the factorial. The factorial of 4 is, for example, 43221, which equals 24.

A lawyer has 4 clients to meet. The number of ways the lawyer can meet the client is 4!.

Number of ways = 4! = 4×3×2×1 = 24

Hence, the number of ways the lawyer can meet the client is 24 or 4!.

Learn more about Factorial:

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Follow the steps for dividing decimals. Then, round to two decimal places (hundredths).
1.476)6.380

Answers

Answer:

4.32

Step-by-step explanation:

The steps required are:

         4.322

1.476 )6.380

          5.904

          ____

          0.476

              0.4763

              0.4428

              _____

              0.0335

                  0.03358

                  0.02952

                  _____

                  0.00406

                     0.004060

                     0.002952

                     _____

                     0.0011080

Therefore, the answer is 4.32.

In a class of 28 students, 10 are female and 15 have an A in the class. There are 4
students who are female and have an A in the class. What is the probability that a
student chosen randomly from the class is a female who has an A?

Answers

Answer: 10 out of 28 chancd

Step-by-step explanation:

Answer:

4/28

Step-by-step explanation:

trust me

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