In March of 2018, a survey asked 801 US adults whether they had at least one subscription to a video-streaming service. Of the 801 participants in the survey, 457 indicated they subscribed to at least one video-streaming service. What is the correct 95 percent confidence interval for the proportion of all US adults who would say they subscribe to a video-streaming service?

Answers

Answer 1

Answer:

The 95% confidence interval for the proportion of all US adults who would say they subscribe to a video-streaming service is (0.5362, 0.6048).

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].

Of the 801 participants in the survey, 457 indicated they subscribed to at least one video-streaming service.

This means that [tex]n = 801, \pi = \frac{457}{801} = 0.5705[/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].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5705 - 1.96\sqrt{\frac{0.5705*0.4295}{801}} = 0.5362[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5705 + 1.96\sqrt{\frac{0.5705*0.4295}{801}} = 0.6048[/tex]

The 95% confidence interval for the proportion of all US adults who would say they subscribe to a video-streaming service is (0.5362, 0.6048).


Related Questions

Given that 7x – 4y = 6
Find x when y=9

Answers

Answer:

6

Step-by-step explanation:

Substitute y for 9: 7x - 36 = 6

Add 36 to both sides: 7x = 42

Divide both sides by 7: x = 6

It's 6, do you need something more simplified?

Michael is running a marathon. Michael can run 1/2 of a mile in 1/10 of an
hour. How many miles can he run in one hour?

Answers

Answer:

5 Miles

Step-by-step explanation:

First, start with multiplying 1/2 by 10 (because we are using 1/10), and you get 10/2, which equals 5.

Answer: How many miles can he run in one hour?

six miles

But for a normal person it's one mile per 10 minutes or about six miles per hour.

It cost a bicycle company $8750 to make 50 bikes in its first month of operation and $14925 to make 115 bikes during its second month. Find a linear equation to express the company’s monthly production cost, y, in terms of the number, x of bikes it makes. y=?

Answers

Answer:

Step-by-step explanation:

[tex]y=mx+b\\ \\ m=\frac{14925-8750}{115-50}=95\\ \\ y=95x+b,\ (50,8750)\\ \\ 8750=95(50)+b\\ \\ 8750=4750+b,\ b=4000\\ \\ y=95x+4000[/tex]

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Answer:

The answer is 1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

x - 5 = y

6 - 5 = 1

Hope that helps!

X^4 - 3x^2 + 2y - 1 is a polynomial of degree

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Answer:

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Julie has $80 to spend on clothes. If she buys a pair of jeans for $24.75, how many shirts can she buy for $12.50?

Answers

Answer:

4

Step-by-step explanation:

$80.00 - $24.75 = $55.25

$55.25 ÷ $12.50 = 4 Shirts!

A penguin walks 10 feet in 6 seconds. At this speed:
1. How far does the penguin walk in 45 seconds?
2. How long does it take the penguin to walk 45 feet?
Explain or show your reasoning.

Answers

Answer:

1. 75 feet

2. 27 seconds

Step-by-step explanation:

1. If six seconds is equal  to 10 feet that means that 42 seconds is equal to 70 feet (6 X 7 = 42) It also means that 3 seconds is equal to 5 feet. (42 + 3 = 45)

2. If 6 seconds is 10 feet, then 6 X 4 is 40 feet (24) And since 5 feet is equal to   3 seconds then we get 24 + 3 = 27

Tammy only has $550 of debt left. If Tammy were to pay off her debt completely today, how could you represent Tammy's situation as an equation? Who ever actually helps get brainliest.​

Answers

Answer:

Step-by-step explanation:

If Tammy has $550 in debt, and she pays it off in one day, then the equation to represent her situation would look like this.

$550 - $550 = $0

Hope this helps!

Answer:If I let +t+=+0+ ( no months have passed )

+D%280%29+=+550+

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

+t+=+1+

+D%281%29+=+550+-+.19%2A550+

+D%281%29+=+550%2A%28+1+-+.19+%29+

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

+t+=+2+

+D%282%29+=+550%2A%28+1+-+.19+%29+-+.19%2A%28+550%2A%28+1+-+.19+%29+%29+

+D%282%29+=+550%2A%28+1+-+.19+%29%2A%28+1+-+.19+%29+

+D%282%29+=+550%2A%28+1+-+.19+%29%5E2+

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

This pattern continues, so the general formula is:

+D%28t%29+=+550%2A%28+1+-+.19+%29%5Et+

+D%28t%29+=+550%2A.81%5Et+

I hope you see this. Each month 19% of the

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

7+x

Step-by-step explanation:

Add 3 and 4

3+4= 7

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Hope this helps!

Drag each tile to the correct box.
Match each equation with its solution.

x = -0.4
x = 10
x = 2
x = -10
Equation
Solution
x − 6 = -4
arrowRight
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arrowRight
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Answers

x - 6 = - 4

Answer: x = 2

x + 3 = -7

Answer: x = -10

5x = -2

Answer: x = -0.4

0.5x = 5

Answer: x = 10

The solutions to the equations as arranged are 2, -10, -0.4 and 10 respectively

Solving equations

Given the following equations

x − 6 = -4

Add 6 to both sides

x - 6 + 6 = -4 + 6

x = -4 + 6

x = 2

For the equation x + 3 = -7

Subtract 3 from both sides

x + 3 -3 = -7 - 3

x = -10

For the equation 5x = -2

x = -2/5

x = -0.4

For the equation

0.5x = 5

x = 5/0.5

x =10

Hence the solutions to the equations as arranged are 2, -10, -0.4 and 10 respectively

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Answer:

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Answer:

First option: y= -4/3x + 7

Step-by-step explanation:

It's perpendicular

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Answers

Answer:

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Answer:

Step-by-step explanation:

The angles of a triangle add up to 180°.

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Answers

Answer:

15%

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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Answers

Step-by-step explanation:

hope the above solution will help you

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Answers

Answer:

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Step-by-step explanation:

Answer:

[tex]d=\sqrt{(x2-x1)^{2} (y2-y1)^{2} }[/tex]

Step-by-step explanation:

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Answers

Answer:

1,065

Step-by-step explanation:

Multiply 213 by 5 to get your final answer.

WILL GIVE BRAINLIEST!!
In this lesson, you will learn more about the properties and characteristics of triangles and.

rectangles
cylinders
rhombii
circles

Answers

Answer:

rectangles

Step-by-step explanation:

Answer:

rhombii

Step-by-step explanation:

simply combining like teams 3a-2b-ab-(a-b+ab)-4ab+2b-a STEP explanation plss​

Answers

Answer:

-6 a b + b + a

Step-by-step explanation:

Simplify the following:

-(a - b + a b) - a b - 4 a b + 2 b - 2 b + 3 a - a

Hint: | Group like terms in 3 a - 2 b - a b - (a b - b + a) - 4 a b + 2 b - a.

Grouping like terms, 3 a - 2 b - a b - (a b - b + a) - 4 a b + 2 b - a = -(a b - b + a) + (-a b - 4 a b) + (3 a - a) + (2 b - 2 b):

-(a b - b + a) + (-a b - 4 a b) + (3 a - a) + (2 b - 2 b)

Hint: | Combine like terms in -a b - 4 a b.

a b (-1) + a b (-4) = -5 a b:

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Hint: | Combine like terms in 3 a - a.

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-(a b - b + a) - 5 a b + 2 a + (2 b - 2 b)

Hint: | Look for the difference of two identical terms.

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-(a b - b + a) - 5 a b + 2 a

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(-a b - 5 a b) + b + (-a + 2 a)

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a b (-1) + a b (-5) = -6 a b:

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I believe the answer is 62.5

If a cylinder with height 9 inches and radius rr is filled with water, it can fill a certain pitcher. How many of these pitchers can a cylinder with height 9 inches and radius 3r3r fill?

Answers

Answer:

9 pitchers

Step-by-step explanation:

Given

Cylinder 1:

[tex]Radius = r[/tex]

[tex]Height = 9[/tex]

Cylinder 2:

[tex]Radius = 3r[/tex]

[tex]Height = 9[/tex]

Required

How many pitchers' cylinder 2 can fill

First, we calculate the volume of both cylinders

Volume is calculated as:

[tex]Volume = \pi r^2h[/tex]

For A:

[tex]V_A = \pi r^2*9[/tex]

[tex]V_A = 9\pi r^2[/tex]

For B:

[tex]V_B = \pi (3r)^2 * 9[/tex]

[tex]V_B = \pi *9r^2 * 9[/tex]

[tex]V_B = 9* 9\pi r^2[/tex]

In (a): [tex]V_A = 9\pi r^2[/tex]

So, we have ve:

[tex]V_B = 9*V_A[/tex]

[tex]V_B = 9V_A[/tex]

If the first cylinder can fill 1, then the second can fill 9 pitchers

Monu
Exploring Decimals
What is this number in standard form?
(7 x 100) + (4 x 100 ) + (8 x
1,000)
Enter your answer in the box.

Answers

Answer:

Step-by-step explanation:

700+400+8000

9100

Answer: 9,100

Step-by-step explanation:

[tex](8*1,000)+(4*100)+(7*100)=\\8,000+400+700=\\8,400+700=\\9,100[/tex]

A percentage is another way to write a _________________.


Answers

Answer: fraction

Step-by-step explanation:

Answer:

Decimal

Step-by-step explanation:

For example, 10% can also be .10.

You just move the decimal two places to the right or left depending on which one you want.

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Answers

B 56

Step-by-step explanation:

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Answer:

B:y6 yan ang. answer wag puro brainy

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Answer:

ST=18

Step-by-step explanation:

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Answers

1= 88°

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