A researcher wishes to estimate the proportion of X-ray machines that malfunction. A random 275 sample of machines is taken, and 228 of the machines in the sample malfunction.
Based upon this, compute a 95% confidence interval for the proportion of all X-ray machines that malfunction. Then complete the table below.
Carry your intermediate computations to at least three decimal places. Round your answers to two decimal places.
What is the lower limit of the 95% confidence interval?
What is the upper limit of the 95% confidence interval?

Answers

Answer 1

Answer:

Following are the solution to the given question:

Step-by-step explanation:

[tex]95\%[/tex] Confidence Interval for both the percentage of all x-ray machines

p = the machinery's share is not working:

[tex]= \frac{228}{275}\\\\ = 0.829[/tex]

[tex]\text{Margin of Error} = Z_{(\frac{\alpha}{2})} \times \sqrt{( p \times (1-p)}{n})[/tex]

                         [tex]= 1.96 \times \sqrt{(0.829 \times \frac{0.171}{275})} \\\\= 1.96 \times 0.023 \\\\= 0.045[/tex]

Lower [tex]95\%[/tex] Confidence interval = p - error margin [tex]= 0.829 - 0.045 = 0.784[/tex]

Upper [tex]95\%[/tex] Confidence Interval = p + error margin[tex]= 0.829 + 0.045 = 0.874[/tex]

So, [tex]95\%[/tex] Confidence Interval [tex]= ( 0.78 , 0.87 )[/tex]


Related Questions

Find the value of cos W rounded to the nearest hundredth, if necessary,
U
30
W
V
14

Answers

Answer:

cos W = 7/15

Step-by-step explanation:

Mathematically the cosine of an angle is the ratio of the adjacent to the hypotenuse side

From the diagram given, 14 is adjacent to vertex w and 30 faces the right angle which makes it the hypotenuse

So, we have it that;

cos W = 14/30

cos W = 7/15

Solve the formula d = rt for r.

Answers

r= d/t
you just divide both sides by t to isolate r

tan150 cos135 cos100÷sin585 cos150 sin170​

Answers

Answer:

-0.66

Step-by-step explanation:

use the calculator

Answer:-0.345
Step-by-step
explanation:use the calculator

Find the measure of angle A (*find the value of x first!):

Answers

Answer:

A = 90º

x = 22.5º

Step-by-step explanation:

So, because sides AC and AB are equal, angles C and B are equal- that means that angle B is also 2x. So for our whole triangle, 2x + 2x + 4x = 180º (all triangles internal angles add up to 180º).

From there, we can simply solve for x:

8x = 180º

x = 22.5

And now we can solve for angle A, which is 4xº. When we substitute it is:

4 (22.5)

A = 90º

- 4x < 68
A. Solve by adding 4 to each side.
B. The solution is x>-17.
a or b will mark as brainliest
(ignore the last thing)

Answers

Answer:

B.x>-17

Step-by-step explanation:

1. Divide both sides by -4:

-4x/-4<68/-4

2.< will change to > since you are dividing by negative

3.your final answer will be x>-17

Which are correct representations of the inequality 6x2 3 + 4(2x – 1)? Select three options.
12 2x
6x > 3 + 8x - 4
O
-1.5
-1
-0.5
0
0.5
1
1.5
-1.5
-0.5
0
0.5
1.5
-1.5
-1
-0.5
0
0.5
1
1.5

Answers

8x provides distant of issue so 0 and -1.5 evaluate

The proper way to express the above inequality is 6x4(2x-1) is x2.

What is inequality?

A mathematical statement that has two mathematical expressions on each side of the inequality sign is called an inequality. The indicators for inequality are,, >, or.

6x4(2x-1) is the given inequality.

So, 6x≥8x-4

6x off of both sides gives us

6x-6x≥8x-4-6x

0≥8x-6x-4

0≥2x-4

4 added on both sides give us

0+4≥2x-4+4

4≥2x

By dividing both sides by half, we obtain

(1/2)×4≥(1/2)×2x

2≥x

x≤2

Therefore, x≤2 is the correct representation.

Learn more about inequality here:

brainly.com/question/19498063

#SPJ7

Epd445 was allegedly caught texting 57 minors but 21 of them turned out to be of age. What is the total amount of minors he was allegedly caught texting with?

Answers

Answer:

He was caught texting 36 minors.

Answer:

Step-by-step explanation:

Exercise 4
Use the pi button on a calculator and give answers to 3's.f.
1. A circle has an area of 15 cm². Find its radius.
2
a
->
2. A circle has a circumference of 190 m. Find its radius.
3. Find the radius of a circle of area 22 km².
4. Find the radius of a circle of circumference 58.6 cm.
5. A circle has an area of 16 mm². Find its circumference.
6. A circle has a circumference of 2500 km. Find its area.


Answers

Answer:

1. 2.19 cm

2. 30.2m

3. 2.65 cm

4. 9.33cm

5. 14.2 mm

6.497000km²

Step-by-step explanation:

Use the pi button on a calculator and give answers to 3's.f.

1. A circle has an area of 15 cm². Find its radius.

Area of a circle = πr²

15cm² = π × r²

r² = 15cm²/π

r² = 4.7746482927568605

r = √(4.7746482927568605)

r = 2.1850968612 cm

Approximately to 3 s.f ≈ 2.19 cm

2. A circle has a circumference of 190 m. Find its radius.

The circumference of a circle = 2πr

C = 190m

Hence:

190m = 2πr

r = 190m/2π

r = 30.239439187m

Approximately to 3 s.f = 30.2m

3. Find the radius of a circle of area 22 km².

Area of a circle = πr²

22km² = π × r²

r² = 22km²/π

r² = 7.002817496

r = √(7.002817496)

r = 2.6462837142 cm

Approximately to 3 s.f ≈ 2.65 cm

4. Find the radius of a circle of circumference 58.6 cm.

The circumference of a circle = 2πr

C = 58.6cm

Hence:

58.6cm = 2πr

r = 58.6cm/2π

r = 9.3264796652cm

Approximately to 3 s.f = 9.33cm

5. A circle has an area of 16 mm². Find its circumference.

Step 1

Find the radius

Area of a circle = πr²

16 mm² = π × r²

r² = 16 mm²/π

r² = 5.092958178940651

r = √(5.092958178940651)

r = 2.2567583342mm

Circumference of a circle = 2πr

Circumference = 2 × π × 2.2567583342

= 14.179630807mm

Approximately to 3 s.f ≈ 14.2 mm

6. A circle has a circumference of 2500 km. Find its area.

Step 1

Find the radius

The circumference of a circle = 2πr

C = 2500km

Hence:

2500km = 2πr

r = 2500km/2π

r = 397.88735773km

Area of a circle = πr²

Area of the circle = π ×(397.88735773km)²

Area of the circle = 497359.19716km²

Approximately to 3 s.f = 497000km²

Which correlation coefficient would indicate a strong negative correlation? a. r = -0.93 b. r = -0.23 c. r = 0.75 d. r = 1.0

Answers

Answer:

A. r = -0.93

Step-by-step explanation:

First, if there is a negative correlation, the correlation coefficient will be negative.

This eliminates answer choices C and D, which are positive.

If there is a strong correlation, the correlation coefficient will be closer to 1, or -1 (since the correlation is negative).

Since -0.93 is closer than -0.23 to 1, it has a stronger correlation.

So, the correct answer is A. r = -0.93

Please help!! I'm in summer school and I can't fail

Answers

Answer and Step-by-step explanation:

The slope would be positive 1. (Third answer choice).

This is because, using the Rise over Run method of finding slope, we go 1 unit up and 1 unit to the right, showing that it is going in the positive direction (up and right) and has a slope of 1.

#teamtrees #PAW (Plant And Water)

Please help!! 50/25 points!!

Compute the sum

Answers

Answer:

3577

Step-by-step explanation:

From the question given above, the following data were obtained:

7•2ᶦ

i = 0, 1, 2, .., 8

Sum =?

The sum can be obtained as follow:

7•2ᶦ

i = 0

7•2⁰ = 7 × 1 = 7

i = 1

7•2ᶦ = 7•2¹ = 7 × 2 = 14

i = 2

7•2ᶦ = 7•2² = 7 × 4 = 28

i = 3

7•2ᶦ = 7•2³ = 7 × 8 = 56

i = 4

7•2ᶦ = 7•2⁴ = 7 × 16 = 112

i = 5

7•2ᶦ = 7•2⁵ = 7 × 32 = 224

i = 6

7•2ᶦ = 7•2⁶ = 7 × 64 = 448

i = 7

7•2ᶦ = 7•2⁷ = 7 × 126 = 896

i = 8

7•2ᶦ = 7•2⁸ = 7 × 256 = 1792

Sum = 7 + 14 + 28 + 56 + 112 + 224 + 448 + 896 + 1792

Sum = 3577

Robert is selling his bulldozer at a heavy equipment auction. The auction company receives a commission of 5% of the selling price. If Robert owes $124,850 on the bulldozer, then what must the bulldozer sell for in order for him to be able to pay it off?

Answers

Answer:

$131422

Step-by-step explanation:

Given :

Amount owed = $124,850

Commison on sale = 5%

Let :

Sale price of bulldozer = x

Sale price = amount owed + 5% of sale price

x = 124850 + 0.05*x

x = 124850 + 0.05x

x - 0.05x = 124850

0.95x = 124850

x = 124850 / 0.95

x = 131421.05263

To the nearest dollar = $131422

315,728 rouned to the nearest ten thousand

Answers

Answer:

320,000 is the answer

Step-by-step explanation:

have a good day!!

HELP!!! How did Mohomed Ghandi get so skinny? I'm doing a biography on him and need an answer ASAP!!!

Answers

Answer:

In 1911, he went on a no salt diet, (which he eased up after some time and convincing from doctors) which is bad for you since you need salt to survive. He also gave up meat and became a vegetarian, though he did attempt veganism, but faced many health problems, so he discontinued it. The last reason was because he fasted. A lot. And for long periods of time.

Does anyone know? Sorry I forgot.

Answers

Answer:

Choice D: 6 - r - 6 = - 24 - 6

Step-by-step explanation:

Equation is that sum of 6 and r is -24.

Thus;

6 + (-r) = - 24

6 - r = - 24

To isolate r in this equation, we will subtract 6 from both sides to get;

6 - r - 6 = - 24 - 6

Thus,option D is correct

A simple lottery involves a player picking 2 counters from a bag that has 20 counters numbered 1-20. To win a player has to pick, without replacement 2 counters over 15. What is the probability of a player only picking 1 counter over 15.

Use a probability tree

Answers

Answer:

5

Step-by-step explanation:

convert 5.764764764 to a rational expression

Answers

Answer: 5 and 764 over 999

5764 over 9999

5 and 764 over 99

5 and 999 over 764

Step-by-step explanation:

PLS HELP ITS TIMED!!!


The number of daily customers at the Good Eats Diner for one week was 70, 68, 110, 65, 90, 125, and 105. What is the standard deviation of the data?


A. 21.9

B. 25

C. 90

D. 90.4

Answers

Answer:

it would be A

Step-by-step explanation:

Answer:

B

is the correct answer dear

Which of the following show the factored equivalent form of f(x) = (-24x2 - 68x + 12(x+7) and its zeros?

Answers

Answer:

The answer is B

Step-by-step explanation:

To install the right size heating and cooling system, you must know how many cubic feet an office building contains. The building is 120 feet wide, 20 feet high, and 48 feet long. What is the volume?

Answers

Answer:

115,200 feet³

Step-by-step explanation:

volume of the building = volume of a cuboid

volume of a cuboid  = length x width x height

120 x 20 x 48 = 115,200 feet³

a=8 and b=2.25 but what is k

Answers

Answer:

a = 8, b = 2.25, k = 27

Step-by-step explanation:

y = abˣ

Points on the graph:

(0, 8), (1, 18), (1.5, k)

Substitute coordinates into equation and solve for and and b:

8 = ab⁰ ⇒ 8 = a*1 ⇒ a = 818 = 8b ⇒ b = 18/8 ⇒ b = 2.25

Find k:

k = 8*[tex]2.25^{1.5}[/tex] = 27

Answer:

a=8

b=9/4

k = 27

Step-by-step explanation:

y = ab^x

We know that a is the initial value or when x = 0

We know the point (0,8) so a = 8

y = 8 b^x

Using the point (1,18) for x and y we can find b

18 = 8 * b^1

18/8 = b

9/4 = b

Now

y = 8 * ( 9/4) ^ x

Letting x = 1.5

k = 8 *(9/4)^1.5

k = 27

Can somebody answer this for me I don’t get it and please explain it please, Thank you

Answers

Answer:

120 minutes

Step-by-step explanation:

1/4=0.25

96x 0.25= 24

96+24=120 minutes

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

Two Hours

»»————- ★ ————-««  

Here’s why:  

Jordan is staying the duration of the movie and the previews. The previews are (1/4) the time of the movie, which is 96 minutes.

⸻⸻⸻⸻

[tex]96*\frac{1}{4}= 24[/tex]

⸻⸻⸻⸻

The previews should be 24 minutes.

⸻⸻⸻⸻

[tex]24 + 96 = 120[/tex]

⸻⸻⸻⸻

Jordan should stay for 120 minutes, or two hours.

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

The summit elevation of a volcano is the elevation of the top of the volcano relative to sea level. The summit elevation of the volcano Kliauea in Hawaii is 1227 meters. The summit elevation of the underwater volcano Loihi in the Pacific Ocean is -969 meters. Which summit is closer to sea level?

Answers

Answer:

volcano Loihi

Step-by-step explanation:

Distance between volcano top and sea level is the summit elevation :

Summit elevation of volcano kliauea = 1227 miles

Summit elevation of volcano Loihi = - 969 m

The summit closer to sea level is that whose absolute summit level elevation is smaller :

Absolute values :

volcano kliauea = 1227 m

volcano Loihi = |-969| = 969 m

969 < 1227

Hence, volcano Loihi is closer to sea level

help pls i beg youuu

Answers

Answer:

height = 10 m

Step-by-step explanation:

base area of rectangular pyramid =180 m^2

volume of rectangular pyramid = lwh/3

600 = 180*h/3

600*3 = 180*h

1800/180 =h

10 = h

Answer:

I think the answer to the question is 10

What is the value of (-1/2) to the power of 4

Answers

Answer:

1/16

Step by Step Explanation:

If you multiply -1/2 · -1/2 · -1/2 · -1/2 you get 1/16.

Change 15:00 to 12 hour clock time using a.m. and p.m.

Answers

Answer:

3pm is the answer in the 12 hour clock.

Since it’s using the 12 hour time the answer will be 3p.m

What term must go in the space to complete the statement

Answers

Answer:

5v+35 = 5(v+7)

Step-by-step explanation:

5(v+7) = 5v+35

Answer:

5

Step-by-step explanation:

Because

5(v+7)

5v+35..

hope it helps

I've been stuck on this one for a while. Help pls?

Answers

Answer: 1080 cm2

Step-by-step explanation: 9x10= 90| 90x12= 1080 cm2

The equation y 55x represents the
relationship between x, the time that a train
travels in hours, and y, the distance the train
travels in miles for Train A. The table
represents the relationship for Train B.
Determine which train is traveling at a faster
rate of speed.
1
2
4
Time (h)
Distance (mi)
45
90
135
180

Answers

Answer:

Train A is travelling faster.

Step-by-step explanation:

Train A is going 55mph, and train B is going 45mph according to the table.

Line is defined as a ______________________ a. a geometric shape that is open and moves from one point to another. b. a slowly curving path along a plane. c. a path through space. d. The distance or area between,around,above,below,and within objects. Please select the best answer from the choices provided A B C D Mark this and return

Answers

Answer:

i think it's a. Not so sure though

Answer:

option C

Step-by-step explanation:

Line is defined as a path through space.

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