Alison, the owner of a regional chain of pizza stores, is trying to decide whether to add calzones to the menu. She conducts a survey of 700 people in the region and asks whether they would order calzones if they were on the menu. 46 people responded “yes.” Create a 90% confidence interval for the proportion of people in the region who would order calzones if they were on the menu.Round your answer to four decimal places.

Answers

Answer 1

Answer:

Step-by-step explanation:

Confidence interval is written as

Sample proportion ± margin of error

Margin of error = z × √pq/n

Where

z represents the z score corresponding to the confidence level

p = sample proportion. It also means probability of success

q = probability of failure

q = 1 - p

p = x/n

Where

n represents the number of samples

x represents the number of success

From the information given,

n = 700

x = 46

p = 46/700 = 0.066

q = 1 - 0.066 = 0.934

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.9 = 0.1

α/2 = 0.1/2 = 0.05

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.05 = 0.95

The z score corresponding to the area on the z table is 1.645. Thus, the z score for a confidence level of 90% is 1.645

Therefore, the 90% confidence interval is

0.066 ± 1.645√(0.066)(0.934)/700

= 0.066 ± 0.0094

The lower limit of the confidence interval is

0.066 - 0.0094 = 0.0566

The upper limit of the confidence interval is

0.066 + 0.0094 = 0.0754

Answer 2

Answer:

(0.0503, 0.0811).

Step-by-step explanation:

The confidence interval for the unknown population proportion p is (p^−z⋆p^(1−p^)n−−−−−−−−√,p^−z⋆p^(1−p^)n−−−−−−−−√). The confidence interval can be calculated using Excel.

1. Identify α. Click on cell A1 and enter =1−0.90 and press ENTER.

2. Thus, α=0.1. Enter the number of successes, x=46, and sample size, n=700, in the Excel sheet in cells A2 and A3. To find the proportion of successes, p^, click on cell A4 and enter =A2/A3 and press ENTER.

3. Thus, p^≈0.0657. Use the NORM.S.INV function in Excel to find z⋆. Click on cell A5, enter =NORM.S.INV(1−A1/2), and press ENTER.

4. The answer for z⋆, rounded to two decimal places, is z⋆≈1.64. To calculate the standard error, p^(1−p^)n−−−−−−−−√, click on cell A6 and enter =SQRT(A4∗(1−A4)/A3) and press ENTER.

5. The answer for the standard error, rounded to four decimal places, is p^(1−p^)n−−−−−−−−√≈0.0094. To calculate the margin of error, z⋆p^(1−p^)n−−−−−−−−√, click on cell A7 and enter =A5*A6 and press ENTER.

6. The answer for the margin of error, rounded to four decimal places, is z⋆p^(1−p^)n−−−−−−−−√≈0.0154. The confidence interval for the population proportion has a lower limit of A4−A7=0.0503 and an upper limit of A4+A7=0.0811. Thus, the 90% confidence interval for the population proportion of people in the region who would order calzones if they were on the menu, based on this sample, is approximately (0.0503, 0.0811).


Related Questions

I need help ty i only need the answer

Answers

Answer:

50°

Step-by-step explanation:

90° add 40° makes 130°. 180° minus 130° makes 50°

Answer:

50

Step-by-step explanation:

90+50+40= 180 which is the total of  a right triangle

-2x + 4y = -2 and 6x -y = 28

Answers

Answer:

(5,2)

Step-by-step explanation:

I hope that it helped you and that I solved it correctly

(5,2) the answer is

50 points!!!!!!


Match the vocabulary word with the correct definition.
1. one-to-one correspondence
2. included side
3. corresponding angles
4. congruent figures
5. corresponding sides
6. included angle

Sides paired with one another in a
one-to-one correspondence between
figures.
If a one-to-one correspondence
between the parts of two figures is such
that the corresponding parts are equal,
then the figures are congruent.
The side of a triangle that is formed
by the common side of two angles.
A situation for which each member
of a set, such as angles of a triangle, can
be paired with one and only one
member of another set. The angle formed by two sides of a
triangle
Angles paired with one another in a
one-to-one correspondence between
geometric figures.

Answers

Answer:

5. corresponding sides -> Sides paired with one another in a  one-to-one correspondence between  figures.  

4. congruent figures -> If a one-to-one correspondence  between the parts of two figures is such  that the corresponding parts are equal,  then the figures are congruent.

2. included side -> The side of a triangle that is formed  by the common side of two angles.

1. one-to-one correspondence -> A situation for which each member  of a set, such as angles of a triangle, can  be paired with one and only one  member of another set.

6. included angle  -> The angle formed by two sides of a  triangle

3. corresponding angles -> Angles paired with one another in a  one-to-one correspondence between   geometric figures.

Would the answer be b an d for this

Answers

Answer by answer key by key question equals equation

Answer:

PROBABLY A and maybe D... here's why

Step-by-step explanation:

i think its A because it goes in a straight line while the others are just wonkity wonk and D also has straight lines not goes all over the place. Idk if this is right but its what would be right for me because i'm learning about proportional graphs and how it could work and if it has to make a straight line for you than im glad this answer could help!

i tried :) hope it helps!

Solve this system of equations using the multiplication method. Please show all work to receive credit. 5x - 2y = 30 2x + 4y = 24

Answers

Answer:

its 4

Step-by-step explanation:

CAN SOMEONE PLEASE EXPLAIN THIS, I DONT NEED THE ANSWER ONLY EXPLANATION!!!!! HELP FASTTTTT THE ANSWER IS HEAT WAS ADDED

Answers

Answer:

C

Step-by-step explanation:

The substance in the second beaker must have lost heat for it to solidify

Answer:

Step-by-step explanation:

The thermometer’s temp could have made the liquid to chemically react?

What is the volume of the cylinder below?

Answers

i’m sorry, i don’t think the cylinder picture is attached

Answer:

No picture

Step-by-step explanation:

The picture isnt attached :( but the equation for the volume of a cylinder is: Hx [tex]\pi r^{2}[/tex]

H= height    R: Radius

So for example if the height was 10 and the radius was 2 you would do the following:

Hx[tex]\pi r^{2}[/tex]

= 10x 3.14x[tex]2^{2}[/tex]

= 10x 3.14x 4

= 10x 12.56

= 125.6cm^3 :)

[tex]\pi r^{2}[/tex] is the equation on finding the are of the circle (bottom circle or top circle) we then multiply is by its height because its like the circle being stacked up together until it reaches the height. :) Hope this helps

Mention a few number systems and explain in brief​

Answers

Answer:

Step-by-step explanation:

The  system is common use is the decimal system which is based on 10;

So for example the number 45 :

45 = 4 * 10^1 + 5 * 10^0  and

132 = 1*10^2 + 3*10^1 + 2*10^0.

The single  digits in the decimal system are 0,1,2,3,4,5,6,7,8 and 9 .

Then we have 10, 11 and so on

Then there is the binary system which is based on 2 digits

In this system there are only 2 digits 0 and 1, so

10 binary = 1*2^1 + 0*2*0  which is equivalent to 2 in the decimal system.

111 binary = 1*2^2 + 1*2^1+ 1*2*0  = 4 + 2 + 1 = 7 decimal

Another system is the octal system, based on 8.

The digits are 0,1,2,3,4,5,6,7

So 10 octal = 8 + 0 = 8 decimal

and  17 octal = 1*8^1 + 7* 8^0  =   8 + 7 = 15 decimal.


[tex]( {8x}^{2} + 4x + 4) - (7x + 9)[/tex]
Solve.

Answers

Answer:

Combining like terms together we get 4x - 7x = -3x and 4 - 9 = -5 so the answer is 8x² - 3x - 5.

Help!!!

An employee at a factory is paid $9.25 per hour plus an $8.00 bonus for every 20 transformers assembled. Last week an employee worked 36 hours and assembled 380 transformers. How much money did the factory employee actually earn per hour last week rounded to the nearest cent?

Answers

Answer: $13.47 per hour.

Step-by-step explanation:

Hi, to answer this question we have to write an equation:

Total earnings = 9.25 (h) + 8 (t/20)

Where h is the number of hours and t is the number of transformers.

Since he worked for 36 hours and assembled 380 transformers:

Total earnings = 9.25 (36) + 8 (380/20)

Total earnings = 333+152 = $485

Finally, to find how much he earned per hours, we simply have to divide the result by the number of hours worked (36):

485/36 = $13.47 per hour.

A student made a mistake when measuring the volume of a big container. He found the volume to be 75 liters.However, the real value for the volume is 60 liters. What is the percent error?

Answers

Answer: 20%

Step-by-step explanation:

Explanation is in progress of writing:

First, I will divide 60 by 75 and multiply by 100, to find what percent of 75 is 60:

= [tex]\frac{60}{75}[/tex] · 100

= 0.8 · 100

= 80%

The percentage error of the student's measurement is 25%.

Given the following data;

Experimental value = 75 liters Real value = 60 liters

Percentage error can be defined as a measure of the extent to which an experimental value differs from the theoretical value.

Mathematically, percentage error is given by this expression;

[tex]Perecent \; error = \frac{Real \; value - Experimental \; value}{Real \; value} * 100[/tex]

Substituting the values into formula, we have;

[tex]Perecent \; error = \frac{60 - 75}{60} * 100[/tex]

[tex]Perecent \; error = \frac{-15}{60} * 100[/tex]

Note: The negative sign is neglected in percentage error.

[tex]Perecent \; error = \frac{1}{4} * 100[/tex]

Percent error = 25%

Therefore, the percent error is 25%.

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Please look at the image below. I NEED TO ANSWER THIS NOW!!

Answers

Answer:

Tbh i dont knw mahn .... i m poor and i need points to ask questions thats y m here

Step-by-step explanation:

does anyone know this?

Answers

Answer:

The ? is (-1) * (-1) = 1.

:))))))))))))))))))))​

Answers

Answer:

C

Step-by-step explanation:

[tex]48 \geqslant 6 - 7a \\ 48 - 6 \geqslant - 7a \\ 42 \geqslant - 7a \\ a \geqslant \frac{ 42}{ -7} \\ a \geqslant - 6[/tex]

Hope this helps..

Answer:

C.  [tex] a \ge -6 [/tex]

Step-by-step explanation:

[tex] 48 \ge 6 - 7a [/tex]

Add 7a to both sides.

[tex] 7a + 48 \ge 6 [/tex]

Subtract 48 from both sides.

[tex] 7a \ge -42 [/tex]

Divide both sides by 7.

[tex] a \ge -6 [/tex]

Answer:   [tex] a \ge -6 [/tex]

Select the function that represents the simple interest formula.
O A. A(n) = (n - 1)(P..)", where n is any real number
O B. A(n) = P+(n-1);• P, where nis a positive integer
O C. A(n) = + (P-1)/• P, where n is a positive integer
O D. A(n) = P(1 + )" – 1, where n is any real number

Answers

Answer: B- A(n) = P+(n-1)i•P, where n is a positive integer

Step-by-step explanation:

Answer: It is B have a nice day

Step-by-step explanation:

A computer technician charges a flat rate for home visits plus $ 55 per hour. The technician bills $190 for a 2-hour home visit to install a new hard drive. The equation y − 190 = 55(x − 2) gives the total amount y the technician charges for x hours of work.

What is the equation in slope-intercept form?

y = 55x + 190

y = 55x + 80

y = 190x + 55

y = 2x + 55

Answers

Answer: y = 55x + 80

Step-by-step explanation:

Answer:

1.  y = 55x + 80

2. the flat rate

3. The technician worked 4.5 hours

Step-by-step explanation:

Hope this helps!

Ram baked 946 cupcakes she sold them in a box of 22 for $16.50 a box how many boxes would she need to make at least $300?

Answers

this app is g a y ksjshfusjwnsbx

Kassy is traveling to Peru for her summer vacation. She looks at a map of the path of her flight. Her plane leaves from Texas, located at(5, 16) on the map’s coordinate grid, makes a stop at the halfway point, Panama, and then heads to its destination, Peru, located at(7, 8) on the map’s coordinate grid. Find the location of Panama on Kassy’s map. Enter as a coordinate with no spaces.

Answers

Answer:

(6,12)

Step-by-step explanation:

Use the mid point formula to find the answer. Add the first x value to the second and divide by two for your x midpoint, then add the first y value to the second y value and divide by two for your y midpoint.

Which statement describes a characteristic of deposition?
Several factors affect how sediment settles.
Sediment is removed from a new surface location.
Moving water affects where sediment travels.
Rocks are broken into smaller particles.

Plz help

Answers

Answer:

The correct statements are:

A) Several factors affect how sediment settles.

C) Moving water affects where sediment travels.

E) Sediments are carried by a transport medium.

QUESTION:

I think the question is incomplete. The whole question has 1 more option and is states that check all statements that apply. The whole question was:

Which statements describe characteristics of deposition? Check all that apply.

A) Several factors affect how sediment settles.

B) Sediment is added to a new surface location.

C) Moving water affects where sediment travels.

D) Rocks are broken into smaller particles.

E) Sediments are carried by a transport medium.

If this was not your question, then you can still relate to this, as the answer would be same.

EXPLANATION:

Sediments are a mixture of different elements that are usually carried by water, air or even ice. This mixture may contain organic and inorganic particles. Several factors effect the flow and settlement of sediments, but as discussed above, they always need an transport medium to travel, and moving water serves as one.

Moving water affects where sediment travels.

Deposition is the process of accumulation of loose mineral material and organic residues on the land surface and at the bottom of water bodies.  

It occurs at the foot of the slopes, in valleys and in other negative landforms of various sizes: from sinkholes to large troughs and depressions of tectonic origin, where the accumulating deposits form thick strata that gradually turn into sedimentary rocks.

At the bottom of oceans, seas, lakes and other bodies of water, deposition is the most important exogenous process.

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A fair spinner A is spun 7 times. What is the probability of getting “Green” at least 5 times if there are 8 colors separated equally?

Answers

Answer:

[tex]6\frac{2}{3}[/tex]

Step-by-step explanation:

OK, so basically I'm pretty sure that you add all of them together and put it as a fraction over 3 so basically  [tex]\frac{20}{3}[/tex] then simplify it into [tex]6\frac{2}{3}[/tex]

please help asap. I will award

Answers

Answer:

12

Step-by-step explanation:

hope this helps! :)

D is the answer hope that helps you

Which of the following equations is equivalent to the slope formula

Answers

Answer: D

Step-by-step explanation: Notice that if you multiply both sides of the equation of y2 = m (x2 - x1) + y1 by X2 - X1.

This gives you m(X2 - X1) = Y2 - Y1.

Then add Y1 to both sides to get m(X2 - X1) + Y1 = Y2.

This slope would be equivalent to the usual slope formula.

What is 2 less than a number

Answers

Answer:

2<x

Step-by-step explanation:

less than x

Answer:

n-2

Step-by-step explanation:

lets put the variable N to mean the "number"

Subtraction is used to take away a certain amount, so 2 less than is that certain number subtracted 2

which can be written as n-2

Solve the equation shown below.

12x−6=4

x =−4

x=−2

x=10

x=20

Answers

____________________________

Hey!!

Solution

12x-6=4

or,12x=4+6

or,12x=10

or,X=10/12

X=5/6

The value of X is 5/6

hope this helps.

___________________________

Answer:

x = [tex]\frac{5}{6}[/tex]

Step-by-step explanation:

→Add 6 to both sides:

12x - 6 =4

12x = 10

→Divide both sides by 12:

x = [tex]\frac{10}{12}[/tex]

→Simplify:

x = [tex]\frac{5}{6}[/tex]

My mother pays my brother twice as much allowance each week as she pays me because he cleans the bathrooms. Together we get $27 each week. How much is my brother's allowance each week? A. $4.50 B. $9 C. $18 D. $27

Answers

Answer:

B

Step-by-step explanation:

Brother= 9*2=18

Me= 9

B+M= 18+9= 27

Answer:

C. $18

Step-by-step explanation:

The ratio between brother and her is 2:1. Therefore, there are 3 parts. $27/3 = $9. Thus, her brother gets 2*$9 = $18 and she gets 1*$9 = $9

Explain how to angles can be supplementary angles?

Answers

Answer:

if the sum of all the angles equal 180

Step-by-step explanation:

the sum equals 180 ...


please need help I will be MARKING as BRIANILIST. thank you so much. ​​

Answers

Answer:

D is the correct answer

Step-by-step explanation:

-17/27=-0.63

-8/18=-0.44

In a cartesian plane

-ve side is in the left side of zero

after zero you meet -0.44 first before -0.63

This means, both lie to the left of zero, but -8/18 lies to the right of -17/27.

Answer plz!
Which choices are equivalent to the expression below? Check all that apply.

Answers

The right options are:

Option AOption COption E

please see the attached picture

Hope it helps

Good luck on your assignment


Which of the following has the smallest value?

19%
0.9
1/4

Answers

0.9 has the smallest value
I think 0.9 ........

A system of equations has 1 solution. If 4x - y = 5 is one of the equations, which could be the other equation?
O y=-4x + 5
O y = 4x-5
O 2y = 8x - 10
0 -2y = -8x - 10

Answers

Answer:

y = -4x+5

Step-by-step explanation:

I graphed the given equation on the graph below and graphed the choices with it. Only one choice had one solution with the given equation. This equation is y = -4x+5

Answer:

O y=-4x + 5

Step-by-step explanation:

I graphed "4x - y = 5" and the other options using a graphing tool. After graphing, we can see:

"4x - y = 5" and " -2y = -8x - 10" has no solution. The lines are parallel.

"y = 4x-5" and "2y = 8x - 10" overlap over "4x - y = 5". They have an infinite number of solutions.

"y=-4x + 5" and "4x - y = 5" cross at point (1.25, 0). This means that they have one solution.

"y=-4x + 5" should be the correct answer.

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