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
Olenka [21]
2 years ago
10

A researcher examined a random sample of 300 homes in a small city and found that 47 had solar panels installed on their roofs.

Use the sample to construct a 99% confidence interval for the proportion of all homes in the city that have solar panels installed on their roofs. What is the sample proportion? **Round to two decimal places
Mathematics
1 answer:
Rina8888 [55]2 years ago
7 0

The confidence interval for the sample proportion is CI = 0.16 \pm 0.0545

<h3>How to calculate the confidence interval for proportion?</h3>

The formula for calculating the confidence interval for proportion is expressed as:

p \pm z\sqrt{p(1-p)/n

p is the proportion

z is the z score at 99% interval

n is the sample size

Given the following parameters

p=\frac{47}{300} =  0.16\\z=2.576\\n=300

Substitute the values

CI = 0.16 \pm 2.576\sqrt{0.16(0.84)/300}\\CI=0.16\pm2.576(0.02116)\\CI = 0.16 \pm 0.0545

Hence the confidence interval for the sample proportion is CI = 0.16 \pm 0.0545

Learn more on confidence interval here: brainly.com/question/15712887

You might be interested in
Multiply. <br> -3.9(-5.7)(3) <br> The product is:
scZoUnD [109]

Answer:

66.69

Step-by-step explanation:

You start off with -3.9 x -5.7 which gives you a positive, and that positive is 22.23, then you multiply that number by 3, and you get 66.69.

7 0
3 years ago
Read 2 more answers
The sixth-graders at Lorenzo's school got to choose between a field trip to a museum and a field trip to a factory. 27 sixth-gra
spin [16.1K]

Answer:

27/90

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What is the renters rule
Leviafan [203]
I don’t understand ???
5 0
3 years ago
A simple random sample of size nequals57 is obtained from a population with muequals69 and sigmaequals2. Does the population nee
dusya [7]

Answer:

The population does not need to be normally distributed for the sampling distribution of \bar{X} to be approximately normally distributed. Because of the central limit theorem. The sampling distribution of \bar{X} is approximately normal.

Step-by-step explanation:

We have a random sample of size n = 57 from a population with \mu = 69 and \sigma = 2. Because n is large enough (i.e., n > 30) and \mu and \sigma are both finite, we can apply the central limit theorem that tell us that the sampling distribution of \bar{X} is approximatelly normally distributed, this independently of the distribution of the random sample. \bar{X} is asymptotically normally distributed is another way to state this.

6 0
2 years ago
What is 3/8 written as a percent?
trapecia [35]
<span>37.5% because its really easy to do x</span>
7 0
3 years ago
Read 2 more answers
Other questions:
  • A water pipe leak floods 50 square feet every 1/5 minute. what is the flooded area after 6 minutes.
    13·2 answers
  • In the equation below, x is equal to 18<br> 2x-3/3= 2/3<br> True or False?
    7·1 answer
  • What is 1.3 times 10 to the 15th power
    9·2 answers
  • Find the GCF of the numbers 45 and 76 using lists<br> of factors.
    9·1 answer
  • When the turnpike littered the toll, traffic increased from 1,500 cars per day to 2,700
    5·1 answer
  • 6. If f(x) = –8 – 5x, what is f(–4)? f(–4) = 12 f(–4) = –28 f(–4) = –12 f(–4) = 28
    5·2 answers
  • Henry divided his socks into five equal groups. Let s represent the total number of socks. Which expression and solution represe
    13·2 answers
  • I am kinda new here. I joined a few days ago because I wanted to help. I have a question. Can we post any questions on Brainly?
    13·2 answers
  • Help me pleasee 20 points ! If u can’t see zoom it please help
    8·1 answer
  • The hypotenuse of a right triangle measures 4 cm and one of its legs measures 3 cm. Find the measure of the other leg. If necess
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!