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
Damm [24]
1 year ago
13

Use the sample data and confidence level given below to complete parts a through d.

SAT
1 answer:
4vir4ik [10]1 year ago
4 0

Using the information given and the z-distribution, it is found that:

a) The point estimate of the population proportion is 0.5544.

b) The margin of error is: 0.0320.

c) The interval is: (0.5224, 0.5864).

d) The interpretation of the interval is: we are 95% sure that the true population proportion is between 0.5224 and 0.5864.

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

A confidence interval of proportions has the bounds given by the rule presented as follows:

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

In which the variables used to calculated these bounds are listed as follows:

  • \pi is the point estimate of the population proportion.
  • z is the critical value.
  • n is the sample size.

The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so the critical value is z = 1.96.

From the sample, the sample size and the point estimate are given as follows:

n = 929, \pi = \frac{515}{929} = 0.5544

The margin of error is given by:

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

M = 1.96\sqrt{\frac{0.5544(0.4456)}{929}}

M = 0.0320.

The interval is the point estimate plus/minus the margin of error, hence:

  • Lower bound: 0.5544 - 0.0320 = 0.5224.
  • Upper bound: 0.5544 + 0.0320 = 0.5864.

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

#SPJ1

You might be interested in
The SAT has practice tests available for free online. What is the best way to learn from them?
DiKsa [7]
Answer: ask yourself one question each day
4 0
2 years ago
Golden Gate Park has been a popular setting for gatherings.
allsm [11]
D. A popular setting



7 0
3 years ago
Introduction to linear algebra 5th edition answers
weeeeeb [17]

Answer:

Ive already seen several questions incomplete like this.

Explanation:

Whats your question?

What do you need help on?

I took algebra a while ago so I may be able to help you.

5 0
2 years ago
Un text argumentativ cu pronume demonstrative cu titlul Locul meu de lucru dau coroana
JulsSmile [24]
Raspunsul este locul meu de muncă.

7 0
3 years ago
Which could be the dimensions of a rectangle with an area of 60 square units?
Yuliya22 [10]

Answer:

a  b and d is your answer

Explanation:

hope it heps

3 0
3 years ago
Read 2 more answers
Other questions:
  • Hello, there has been a scammer that has been bugging me and I was just wondering if any of you guys/girls can bug him back his
    14·1 answer
  • You are operating a machine that begins to make an unfamiliar noise. You should
    7·1 answer
  • Which Public Management and Administration employee is in charge of Postal Service workers?
    15·2 answers
  • A jellyfish is floating in the ocean. Which is a valid claim about what will happen to the jellyfish when a wave passes through
    14·2 answers
  • Jakie trudności spotykaja chrzescijan w głoszeniu ewangelii​
    12·1 answer
  • A teacher grades 27 students' essays in 3 hours. How many essays can she grade in 8 hours if she spends the same amount of time
    5·2 answers
  • Trong phương thức đổi chứng từ trả tiền(CAD), người nhập khẩu có cần phải mở tài khoản ký thác tại ngân hàng để thanh toán tiền
    11·1 answer
  • If the number of giraffes at congtin were reduced by 63.
    7·1 answer
  • How many aluminum atoms are there in 3.50 grams of al2o3?
    13·1 answer
  • UN-sponsored talks concerning the reduction of carbon dioxide emissions has resulted in
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!