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
Black_prince [1.1K]
2 years ago
11

Construct a 99​% confidence interval to estimate the population proportion with a sample proportion equal to 0.36 and a sample s

ize equal to 100 .
Mathematics
1 answer:
vivado [14]2 years ago
8 0

Using the z-distribution, the 99​% confidence interval to estimate the population proportion is: (0.2364, 0.4836).

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which:

  • \pi is the sample proportion.
  • z is the critical value.
  • n is the sample size.

In this problem, we have a 99% confidence level, hence\alpha = 0.99, z is the value of Z that has a p-value of \frac{1+0.99}{2} = 0.995, so the critical value is z = 2.575.

The estimate and the sample size are given by:

\pi = 0.36, n = 100.

Then the bounds of the interval are:

  • \pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.36 - 2.575\sqrt{\frac{0.36(0.64)}{100}} = 0.2364
  • \pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.36 + 2.575\sqrt{\frac{0.36(0.64)}{100}} = 0.4836

The 99​% confidence interval to estimate the population proportion is: (0.2364, 0.4836).

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

You might be interested in
What is the value of x?
yuradex [85]

Answer:

the value of x is the answer.

Step-by-step explanation:

ok so say that there is a question that you get and it says 9 (x-2) ok so then you would take the x and replace it with the 9 so then you do (9-2=7 so then you would have x=7

6 0
2 years ago
These roots of the polynomial equation x^4-4x^3-2x^2+12x+9=0 are 3,-1,-1. Explain why the fourth root must be a real number. Fin
Alex787 [66]

Roots with imaginary parts always occur in conjugate pairs. Three of the four roots are known and they are all real, which means the fourth root must also be real.

Because we know 3 and -1 (multiplicity 2) are both roots, the last root r is such that we can write

x^4-4x^3-2x^2+12x+9=(x-3)(x+1)^2(x-r)

There are a few ways we can go about finding r, but the easiest way would be to consider only the constant term in the expansion of the right hand side. We don't have to actually compute the expansion, because we know by properties of multiplication that the constant term will be (-3)(1)(1)(-r)=3r.

Meanwhile, on the left hand side, we see the constant term is supposed to be 9, which means we have

3r=9\implies r=3

so the missing root is 3.

Other things we could have tried that spring to mind:

- three rounds of division, dividing the quartic polynomial by (x-3), then by (x+1) twice, and noting that the remainder upon each division should be 0

- rational root theorem

4 0
3 years ago
Read 2 more answers
ALGEBRA 1 <br><br> Order the numbers from Leary to greatest <br><br><br> 2.5 , 5/3 , sqrt 9/4 sqrt 5
tamaranim1 [39]

Answer:

2.5, √5, 5/3, √9/4

Step-by-step explanation:

√5 = 2.236

5/3 = 1.667

√9/4 = 0.75

5 0
3 years ago
What is the opposite of the coordinate for point C ?<br><br>a. -30<br>b. -31<br>c. 30<br>d. 31​
Alex777 [14]

Answer:

Step-by-step explanation:

amely, for a randomly selected point X0 in space, we first put two viewpoints, C1 and ... We then put a third viewpoint C30 to form the regular tetrahedron together with ... the third viewpoint is changed to C31 and C32 so that it becomes close to the first ... In these figures, (a), (c) and (e) illustrate the shape of the computed ...

8 0
2 years ago
Read 2 more answers
5x + 2y = 7<br> Solve for y
nekit [7.7K]

The correct answer is attached below:

8 0
3 years ago
Read 2 more answers
Other questions:
  • What is the answer to the question
    14·1 answer
  • You increase the size of a computer screen display by 20%. Then you decrease it by 20%. What is the size of the computer screen
    6·2 answers
  • The chart below lists the original and sale prices of items at a clothing store.
    15·2 answers
  • Give me an example of quadratic equation.​
    9·1 answer
  • Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 5.4 per year. a. Find t
    10·1 answer
  • Solve for the value of x.
    8·1 answer
  • Evaluate 4 divided by 5/6
    10·1 answer
  • I need help ASAP please
    10·1 answer
  • Which equation is correct? o 39 x 3 = 30 x 3 + 9x 3
    12·1 answer
  • What value is equivalent to 32 · 43?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!