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
iris [78.8K]
3 years ago
14

what percentage of eligibible american vote? In 2008, a random sample of 500 american adults was take and we found that 68% of t

hem voted. How many of the 500 adults in the sample voted? Now construct a 95% confidence interval estimate of the population percent of Americans that vote and write a sentence to explain the confidence interval.
Mathematics
1 answer:
jek_recluse [69]3 years ago
6 0

Answer:

340 of the adults in the sample voted.

The 95% confidence interval estimate of the population percent of Americans that vote is (0.6391, 0.7209). This means that we are 95% sure that the true proportion of Americans that vote is between 0.6391 and 0.7209.

Step-by-step explanation:

In 2008, a random sample of 500 american adults was take and we found that 68% of them voted. How many of the 500 adults in the sample voted?

This is 68% of 500.

So 0.68*500 = 340.

340 of the adults in the sample voted.

Now construct a 95% confidence interval estimate of the population percent of Americans that vote and write a sentence to explain the confidence interval.

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence interval 1-\alpha, we have the following confidence interval of proportions.

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

In which

Z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 500, p = 0.68

95% confidence interval

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.68 - 1.96\sqrt{\frac{0.68*0.32}{500}} = 0.6391

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.68 + 1.96\sqrt{\frac{0.68*0.32}{500}} = 0.7209

The 95% confidence interval estimate of the population percent of Americans that vote is (0.6391, 0.7209). This means that we are 95% sure that the true proportion of Americans that vote is between 0.6391 and 0.7209.

You might be interested in
Jacob counts 37 ants on the sidewalk and 11 ants on the grass.how many ants does Joes count?
Lera25 [3.4K]
Jacob counts 48 ants all together 37 + 11 = 48
4 0
3 years ago
Read 2 more answers
For each scenario below, choose the graph that gives the best representation.
kvv77 [185]

The graph that gives the best representation of the scenario is: option 1 (A).

<h3>Graph of Distance vs Time</h3>
  • A typical graph of distance vs time shows the distance covered as against time.
  • If the graph shows a line that slopes upwards, it implies movement from a spot, if it shows an horizontal line, it implies a rest.

The first graph is the correct one that best represents the scenario because it starts at the point of origin (0, 0), which means the bird covers not distance at zero time when it is still at its nest.

As the bird flies, distance increases with time till it stopped at a point to eat.. This is represented by horizontal line, meaning time increased but distance from the nest remains the same.

The upward slope from the spot represents the further distance the bird is flying in search for more food.

Therefore, the graph that gives the best representation of the scenario is: option 1 (A).

Learn more about distance vs time graph on:

brainly.com/question/18655388

8 0
2 years ago
I need help one this one
8_murik_8 [283]
56 in squared I believe!
3 0
3 years ago
How to solve 2x-8y=16
Darina [25.2K]
The answer of your question is x - 4 y=8
3 0
3 years ago
A representative sample of a population of middle school students contains 45 boys and 25 girls. From this sample, 27 and 15 gir
lorasvet [3.4K]

\frac{15}{70}  =  \frac{?}{350}
15 \times 350 \div 70 = 75
8 0
3 years ago
Read 2 more answers
Other questions:
  • What is the perimeter of a rectangle if 2 sides are 5", and the other sides are both y?
    5·2 answers
  • Help!! Me with my aleks!
    7·1 answer
  • What is the exact volume of the sphere? 2481.156π cm³ 7263.39π cm³ 7790.83π cm³ 22807.05π cm³ Sphere with dotted line extending
    12·1 answer
  • You have 16 different cuts of flowers and plan to use seven of them how many different selections of the seven flowers are possi
    15·1 answer
  • Help please thank you
    6·1 answer
  • Find the measure of angle Din the quadrilateral below.<br> A 85°<br> B 95°<br> C 120°<br> D?
    6·1 answer
  • What is the distance from (3 1/2, 5) to (3) 1/2 -12)?​
    5·1 answer
  • What is the answer and how did you get it
    15·1 answer
  • Round 0.293263 to the ten thousandths place
    6·2 answers
  • 2.2.3 Quiz: Angle Theorems
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!