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

It takes 213 yards of denim to make one pair of jeans. How many yards would it take to make 5 pairs of jeans?

Answers

Answer:

1,065

Step-by-step explanation:

Multiply 213 by 5 to get your final answer.

A percentage is another way to write a _________________.


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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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

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3 a - a = 2 a:

-(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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Hint: | Group like terms in -a b - 5 a b + b + 2 a - a.

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Hint: | Combine like terms in -a b - 5 a b.

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Hint: | Combine like terms in 2 a - a.

2 a - a = a:

Answer: -6 a b + b + a

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]

129-7+6
va dau coroana​

Answers

Answer:

The correct answer is 128

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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Answers

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Step-by-step explanation:

WILL GIVE BRAINLIEST!!
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cylinders
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Answer:

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Step-by-step explanation:

Answer:

rhombii

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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x = -0.4
x = 10
x = 2
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arrowRight
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arrowRight
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Answers

x - 6 = - 4

Answer: x = 2

x + 3 = -7

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Answer: x = -0.4

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Solving equations

Given the following equations

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Answers

Answer:

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Answer:

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Answers

Answer:

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Step-by-step explanation:

Given

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Cylinder 2:

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Answers

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Step-by-step explanation:

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Answers

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Answers

Answer:

Step-by-step explanation:

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Hope this helps!

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

+t+=+1+

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

+t+=+2+

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

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

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