A researcher wishes to estimate the proportion of college students who cheat on exams. A poll of 530 college students showed that ​21% of them​ had, or intended​ to, cheat on examinations. Find the​ 95% confidence interval for the population proportion. Round to four decimal places.

Answers

Answer 1

Answer:

(0.1753 ; 0.2447)

Step-by-step explanation:

Using the relation :

Confidence interval :

p ± margin of error

p = 0.21

1 - p = 0.79

n = 530

Zcritical at 95% confidence level = 1.96

Margin of Error : Zcritical * sqrt[(p(1-p))/n]

1.96 * sqrt[(0.21(0.79))/530]

1.96 * 0.0176923 = 0.0346769

Margin of Error = 0.0346769

Lower boundary = 0.21 - 0.0347 = 0.1753

Upper boundary = 0.21 + 0.0347 = 0.2447

Confidence interval :

(0.1753 ; 0.2447)


Related Questions

Which of the following are solutions to the graph?



Select all that apply:

Question 12 options:

(-6, -4)


(-2, -2)


(-1, 0)


(2, 0)


(4, 1)


(2, 6)

Answers

The solutions are the points that belong to the line, these are:

(-6, -4)

(-2, 2)

(-1, 0)

(2, 6)

Which of the points are solutions to the graph?

Here we can see that we have the graph of a linear equation. The given points would be solutions if the points lie on the graphed line.

Remember that for a point (x, y), x is the value you need to look in the horizontal axis and y is the value that you need to look on the vertical axis.

Then, from the given points the ones that are on the graphed line are:

(-6, -4)

(-2, 2)

(-1, 0)

(2, 6)

All these points are on the line, thus, are solutions.

If you want to learn more about graphs:

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what is the equation of the following line please help if u can

Answers

Answer:

B I believe

Step-by-step explanation:

every time the line hits a point you go up 1 and over 4

You are in your backyard with your pets. In one area, you count 108 legs. You count 41
animals. You have a combination of bunnies and chickens. How many of each type of animal do
you have?
Write a system of equations (make sure to define your variables first!), and then solve
this problem. Then, solve in a different way.

Answers

Answer:

Bunnies= 13    Chickens=28

Step-by-step explanation:

Let's put

x = bunnies------4 legs

y = chickens-----2 legs

x + y = 41----------------x= 41-y

4x+ 2y = 108

replace in 2nd equation

4(41 - y) + 2y = 108

164 - 4y + 2y = 108

2y = 56

y = 56/2= 28

x = 41 - 28= 13

18 multiplied by 2/3

Answers

Answer:

12

Step-by-step explanation:

18 x 2/3 = 36/3 = 12

2/3 of 18

2/3×18

2×6

12

hope this helps:)

observe partes da reta numerada e escreva os números naturais indicados pelas setas.​

Answers

Cíiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

Write an equation in slope-intercept form for the line that passes through the
given point and is parallel to the graph of the given equation.
(-1, -2), 3x - y = 5

Answers

Make slope intercept
3x - y = 5
3x = y + 5
y = 3x - 5
Parallel = same slope
Slope = 3
Y = 3x + b
Plug in the point
-2 = 3(-1) + b
-2 = -3 + b, b = 1

Solution: y = 3x + 1

Answer:

y = 3x + 1

Step-by-step explanation:

the slope of the line of the given equation can bé find in this way: -a/b, where a is the number that multiplies x and b is the number that multiplies y

m = -3/-1 = 3

two parallel lines have the same slope, so also the line that we are a searching has m=3

now we can use this formula

y-y1 = m(x-x1) where y1 and x1 indicate the coordinates of the given point

y-(-2) = 3 (x-(-1)

y+2 = 3x + 3

y = 3x + 3-2

y = 3x + 1

What is the equation of the line that passes through the point (-6, -5) and has a
slope of 3/2 ?

Answers

Answer

y= 1.5x+4

Step-by-step explanation:

Write an equation to represent the situation: Last summer, Gary trained 14
more dogs than Zina. Together they trained 82 dogs. How many dogs did Gary train?

Answers

Answer:

A. g + (g + 14) = 82

Bonus: Gary trained 48 dogs. Triana trained 34.

Step-by-step explanation:

Since Gary trained 14 MORE dogs, anything with a minus sign is definitely wrong. As a result, B & C are eliminated. D is also eliminated because that simplifies to 2g + 28 = 82, which signifies Gary trained 28 more dogs, which is not true. That leaves A as our answer.

g + g + 14 = 82

Combine g & g to get 2g.

2g + 14 = 82

Subtract 14 from both sides.

2g = 82 - 14

2g = 68

Divide both sides by 2.

g = 68/2

g = 34

With that, we now know Triana trained 34 dogs. Add 14 to that, and you get 48 dogs, which is how many Gary trained.

Consider the function: h(x) = 11 - 3x What is h(-2) ?​

Answers

Answer:

17

Step-by-step explanation:

11-3x

11-3(-2)

11+6

Hence, 17

Hope it helps!

The evaluation is 17 when h(-2) of h(x) = 11-3x.

What is a function?

A function is a relationship between a number of inputs and outputs. A function is an association of inputs where each input is coupled with exactly one output. There is a range, co domain, and domain for every function.

The given function is

h(x) = 11-3x

when x = -2

h(-2) = 11-3(-2)

       = 11 + 6

        = 17.

Therefore, the h(x) = 11-3x is 17 when x = -2

To learn more about the function;

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What are the solutions to this equation?
7.
D
17
-1
There are no solutions.

Answers

Answer:

Whats the equation?

Step-by-step explanation:

If you attach a pic maybe I can help!

please help me!!!!!!

Answers

Answer:

(2)

Step-by-step explanation:

mean: (13+15+17+17+17+20+27)/7=18

median: 17

mode: 17

A local hamburger shop sold a combined total of 427 hamburgers and cheeseburgers on Thursday. There were 73 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Thursday?

Answers

Answer:

250 hamburgers

Step-by-step explanation:

Explanation: Because IK

A store sells a television for $1000. There are two payment options. Which option is better? ( PLS HELP!! I'M RLY STRUGGLING!! :< )

Answers

One of the options is $500+$500

19. What is the solution to 5.2x = 31.2? *​

Answers

Answer:

x=6

Step-by-step explanation:

hope this helps

HELP HELP HELP HELP

Answers

Answer:

24

Step-by-step explanation:

help me just

plz

hmmm

or let me die

Find the area of a garden whose circumference is 36 yards.

Answers

?????????????????????????????

What is the approximate circumference of the circle shown below?
A. 82 cm
B. 64 cm
C. 129 cm
D. 137 cm

Answers

Answer:

the answer to this is C. 129 cm

Find the area of quarter circle with the radius of 10

Answers

Answer: 78.5

Step-by-step explanation:

Formula: A=pi*r^2   or   Area = 3.14*radius squared (by two)

A = 3.14*10^2

A = 3.14*100

A = 314

Divide it by 4, because it's a quarter of the circle: A = 314/4

A = 78.5

Answer: 78.5

Your welcome :)

GEOMETRY HELP PLEASE!! WILL MARK BRAINLEIST!
4

Answers

Answer:

QX = 5.7

Step-by-step explanation:

Here, we want to get QX

For a rectangle, the length of the parallel sides are equal

Thus,

SR will be 8 too

Since x is the midpoint of SR, we have it that RX is 4 too

The angle at each corner of the rectangle is 90 degrees each

Thus,

QRX is a right triangle

Mathematically, QX is the hypotenuse of this triangle as it is the side that faces the right angle

According to Pythagoras’ ; the square of the hypotenuse of a right triangle equals the sum of the squares of the two other sides

thus;

Qx^2 = 4^2 + 4^2

QX^2 = 32

QX = √(32)

QX = 5.7 units

Stephanie will be representing her school at the district track meet in the 200 meter race. She has kept records of her last 5 races. What is the mean absolute deviation of her races? Round your answer to the nearest tenth.RaceTime (seconds)123.6225.1324.8422.9524.2Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

Answers

Answer:

119.816

Step-by-step explanation:

Given the data :

123.6, 225.1, 324.8, 422.9, 524.2

Mean absolute deviation (MAD) :

Σ|x - m| / n

m = mean = ΣX / n

n = same size = 5

m = 1620.6 / 5 = 324.12|

[|123.6 - 324.12| + |225.1 - 324.12| + |324.8 - 324.12| + |422.9 - 324.12| + |524.2 - 324.12|] / 5

= 119.816

???Anyone knows answer??

Answers

Answer:

30feet

Step-by-step explanation:

I don't know the requirement to get full mark but can work through the equation but:

The man is creating a small triangle as information about the small triangle is given. The small triangle is a miniature size of the bigger triangle. So,

let x be the height of the tree

6/4=x/20

6/4*20=x

x=30 feet

Is LMN a right triangle?

Answers

Answer:

True

Step-by-step explanation:

We can sue the pythagorean theorem to verify. 15^2+36^2 should equal the longest side squared or 39^2. If we plug in the numbers, it checks out!

Answer:

true

Step-by-step explanation:

we can use the Pythagorean theorem to verify if the sum of the squares built on the legs is equal to the square built on the hypotenuse

36^2 + 15^2 = 39^2

1296 + 225 = 1521

1521 = 1521

the equality is verified so the answer is true

Find x and y ( please explain )​

Answers

Answer:

y = 75°

Step-by-step explanation:

y and 105°

are on a straight line ,

a straight line is 180°

180 - 105 = 75°

y=75 °

I'm not sure about x hope you understand

A computer game company conducts a survey of random sample of customers to determine their favorite type of game. The results of the survey are shown below based on the survey results how many customers are expected to prefer fantasy games out of the 1,000 customers?

Answers

Answer:

1.6% of customers

Step-by-step explanation:

Plz help Quadrilateral PQRS Is shown in the graph

Answers

Pretty sure It would be (4,0)

please answer the questions

Answers

the answers are 5.)b 6.)c.

Estimate the number of pints in 445 ounces

Answers

Answer:

about 28

Step-by-step explanation:

its actually 27.8125 but if we're estimating im assuming that means to round

Answer:

28 pints

Step-by-step explanation:

There are 28 pints in 445 fluid ounces .

solve by subsution 10x=4 2x+y=-24

Answers

Answer:

big shaq

Step-by-step explanation:

Ms. Hernandez takes 56 students to the museum. Some of the students travel in a van and some travel on a bus. Going to the museum, the ratio of students in the van to students on the bus is 2 : 5 Going back to school, 2 students move from the van to the bus.​

Answers

Answer:

I think we are missing part of the question.

But if it's looking for how many students rode the bus and van on the way to the museum when the ratio was 2:5, it's 16 students in the van and 40 students in the bus.

On the way home, it was 14 students in the van and 42 students in the bus,   the ratio changes to 1:3

A right triangle has legs that measure 8 feet and 6 feet. What is the length of the hypotenuse?
A. 2 feet
B. 5 feet
C. 10 feet
D. 14 feet
Help ASAP!

Answers

Answer:

C) 10 feet

Step-by-step explanation:

h² = 8² + 6² = 64 + 36 = 100

h = √100 = 10

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