1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
valkas [14]
2 years ago
8

Researchers are studying the distribution of subscribers to a certain streaming service in different populations. From a random

sample of 200 people in City C, 34 were found to subscribe to the streaming service. From a random sample of 200 people in City K, 54 were found to subscribe to the streaming service. Assuming all conditions for inference are met, which of the following is a 90 percent confidence interval for the difference in population proportions (City C minus City K) who subscribe to the streaming service?
A. (0.17 – 0.27) + 1.65, 0.27 0.17 V 200
B. (0.17 – 0.27) 1.96 V (0.17)(0.83)+(0.27)(0.73) 400
C. (0.17 – 0.27) + 1.657 (0.17)(0.83)+(0.27)(0.73) 400
D. (0.17 – 0.27) + 1.96V (0.17)(0.83)+(0.27)(0.73) 200
E. (0.17 – 0.27) + 1.657 (0.17)(0.83)+0.27)(0.73) 200
Mathematics
1 answer:
Katen [24]2 years ago
7 0

Answer:

CI = (0.17 - 0.27)\± 1.65\sqrt{\frac{(0.17)*(0.83) + (0.27)*(0.73)}{200}}

Step-by-step explanation:

Given

n = 200

x_1 = 34 -- City C

x_2 = 54 --- City K

Required

Determine the 90% confidence interval

This is calculated using:

CI = \bar x \± z\frac{\sigma}{\sqrt n}

Calculating \bar x

\bar x = \bar x_1 - \bar x_2

\bar x = \frac{x_1}{n} - \frac{x_2}{n}

\bar x = \frac{34}{200} - \frac{54}{200}

\bar x = 0.17 - 0.27

For a 90% confidence level, the ​z-score is 1.65.  So:

z = 1.65

Calculating the standard deviation \sigma

\sigma = \sqrt{(\bar x_1)*(1 - \bar x_1) + (\bar x_2)*(1 - \bar x_2) }

So:

\sigma = \sqrt{(0.17)*(1 - 0.17) + (0.27)*(1 - 0.27) }

\sigma = \sqrt{(0.17)*(0.83) + (0.27)*(0.73)}

So:

CI = (0.17 - 0.27)\± 1.65\frac{\sqrt{(0.17)*(0.83) + (0.27)*(0.73)}}{\sqrt {200}}

CI = (0.17 - 0.27)\± 1.65\sqrt{\frac{(0.17)*(0.83) + (0.27)*(0.73)}{200}}

You might be interested in
Most people can walk about 3750 feet in 15 minutes what is the unit rate in feet per minute for this walking pace
Debora [2.8K]

Based on the calculations, the unit rate in feet per minute for this walking pace is equal to 250 feet per minute.

<h3>How to calculate the unit rate?</h3>

A unit rate refers to a measurement of a quantity which is calculated as a ratio of one parameter to another.

This ultimately implies that, we would divide the distance covered in feet by the time taken to cover this distance as follows:

Unit rate = distance/time

Unit rate = 3750/15

Unit rate = 250 feet per minute.

Read more on time here: brainly.com/question/12199398

#SPJ1

5 0
2 years ago
Find the Antilog of 547.840​
bija089 [108]

Answer:

It's impossible because the figure is greater than 10

Step-by-step explanation:

{ \boxed{ \bf{antilog \: of \: x =  \frac{x}{ log} =  {10}^{x}  }}}

Therefore:

{ \sf{anti(547.840) =  {10}^{547.840} }} \\ { \tt{ \red{math \: error \: !}}}

3 0
3 years ago
Given a rectangular prism with width and height = 4x and length = 10x-6. The expression for the surface area of the rectangular
777dan777 [17]

3

is the simplify expression

Step-by-step explanation:

4 0
2 years ago
Convert the improper fraction to a mixed number​
alex41 [277]
1) 10 3/10
3) 2 1/2
4) 10 2/3
6) 6 1/2
7) 4 3/4
9) 1 8/9
10) 1 5/6
4 0
3 years ago
Read 2 more answers
Simplify this expression: (a^8*a^6)^1/7/a^2
Ulleksa [173]
<span><span>Simpliest form is a^2/a^2 to get 1

</span></span>

3 0
3 years ago
Other questions:
  • Un globo aerostatico se encuentra a 300 pies a nivel del mar se encuentran estacionados 2 barcos. El tripulante del globo mide e
    8·1 answer
  • 2÷628 this is my QUESTION what is the answer
    6·2 answers
  • What is the average 27, 12, 31, 19, 23, 11, 17
    6·2 answers
  • You buy a house for $130000. it appreciates 6% per year. how much is it worth in 10 years
    13·1 answer
  • Greatest to least decimals :&gt;
    13·1 answer
  • Whats 2+2 first person that pops of in my notification w be marked brainlietst good luck
    9·2 answers
  • Can someone please help me i will mark brainliest
    9·2 answers
  • Please please helppp answer correctly !!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!
    11·1 answer
  • The table shows the ratio of people who ate a certain type of lunch to the total number of people who ate lunch. A total of 840
    14·1 answer
  • A ride-sharing company charges $6 per mile plus a $10 surcharge during peak hours. Suppose Manish’s ride during peak hours costs
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!