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
Use the expression 9(7 + 2x) to answer the following:
oksian1 [2.3K]

Part A: Describe the two factors in this expression. (4 points) The factors are (1) the constant coefficient 9 and (2) the binomial (7+2x).

Part B: How many terms are in each factor of this expression? (4 points) The first factor (multiplicand), 9, has one term. The second factor (multiplicand), (7+2x), has two terms (and is thus called a binomial).

Part C: What is the coefficient of the variable term? (2 points) The only such coefficient is 2.

4 0
3 years ago
Jamie has a deck of 60 sports cards, of which some are baseball cards and some are football cards. Jamie pulls out a card random
Mice21 [21]
If it were like that, 9/20 would be baseball card. \frac{9}{20} = \frac{x}{60}
x=27 since 20x3=60
5 0
3 years ago
Read 2 more answers
1/3 (3x+9) = 5-3 (x-2)
qaws [65]
X+3=5-3x+6. 4x=8. X=2.
8 0
3 years ago
Find the missing sides using special right triangles
ANTONII [103]

Answer:

The answers are;

m = 9, e = 9

Step-by-step explanation:

The question relates to right triangles with special properties;

The given parameters of the given right triangles are;

The measure of an interior angle of the triangle = 45°

The length of the given leg length of the triangle = (9·√2)/2

The length of the other leg length of the triangle = n

The length of the hypotenuse side = m

A right triangle with one of the measures of the interior angles equal to 45° is a special triangle that has both leg lengths of the triangle equal

Therefore;

The length of the other leg of the right triangle = n = The length of the given leg of the triangle = (9·√2)/2

∴ n = (9·√2)/2

n = (e·√f)/g

Therefore, by comparison, we have;

e = 9, f = 2, and g = 2

By Pythagoras's theorem, we have;

m = √(n² + ((9×√2)/2)² = √((9×√2)/2)² + ((9×√2)/2)²) = √(81/2 + 81/2) = √81 = 9

m = 9.

5 0
3 years ago
Pleaseeee help !!!!!!​
Katarina [22]

Answer:

Step-by-step explanation:

its B

6 0
2 years ago
Read 2 more answers
Other questions:
  • I need help with these, can someone help?
    7·1 answer
  • How long will it take to fill the pool if two hoses are used, one that fills at a rate of 40 gallons per hour and one that fills
    12·1 answer
  • In the diagram, what is the value of x ?
    14·2 answers
  • A system of equations is shown below:
    5·2 answers
  • Cuanto es diez más diez
    9·2 answers
  • Prof Liu gave the same quiz to the students in her morning class and in her afternoon class. the average score for the two class
    6·1 answer
  • What is a correct name for the angle shown? Line segments R S and S T combine to form an angle. Angle R Angle S Angle R T S Angl
    7·2 answers
  • What is 2/2 -+7 need friends anyone
    9·1 answer
  • What is the value of y when y + 2.9 = 11?
    11·1 answer
  • Find the interval in which the function is positive.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!