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
Use the Distributive Property to simplify the expression.<br> 8(5g+5−2)=
Vaselesa [24]
You multiply the number 8 to each term in the parentheses. 8 x 5g = 40g; 8 x 5 = 40; 8 x (-2) = -16 Combine these together and it would be 40g + 40 - 16
5 0
3 years ago
Read 2 more answers
7a-11=-2(3a-1) what is the work and answer
Anni [7]
The work is on the picture attached, but a = 1
Hope this helps!!

3 0
3 years ago
A piece of toast came out of the toaster very overcooked.
Nikitich [7]

Answer:

It is a chemical change ⇒ 1st answer

Step-by-step explanation:

* Lets explain the statements to solve the problem

- <u><em>A chemical change</em></u> occurs when a new substance is formed through

 a chemical reaction

- Ex: cooking an egg

- <u><em>Change of reaction</em></u> is the rate of reaction it can be decreases or

  increasing

- <u><em>A phase change</em></u> is a change from one state to another without a

 change in chemical composition

- Ex: Condensation: the substance changes from a gas to a liquid

- <u><em>A physical change</em></u>, such as a state change or dissolving, but does

 not create a new substance

- Ex: Breaking a glass

* Lets solve the problem

- A piece of toast came out of the toaster very overcooked.

∵ It is like the cooking an egg

∴ It is a chemical change

7 0
3 years ago
Pls help 50 points<br> best + correct answer gets brainliest crown
fomenos

<em>*Remember that A = angle and S = side.</em>

So remember that <u>similar figures have congruent angles and proportional sides.</u> Looking at triangles ABC and DEF, they both share 85° and 30° angles. <u>With this, the two triangles are similar by AA, or the first option.</u>

8 0
3 years ago
Read 2 more answers
Tomika uses 6/19 inches of wire to make a necklace and 3/13 inches of wire to make a bracelet.
Kay [80]

Answer:

#Answer: 3 Step-by-step explanation: Common sence  8 months ago 3 0 Answer: There are 3 necklace and bracelet sets she can make . Step-by-step explanation: Since we have given that Length of wire she used to make a necklace is given by Length of wire she used to make a bracelet is given by Total length of wire she is used  in all is given by Now, we calculate number of necklace and bracelet sets she can make , So, So, there are 3 necklace

7 0
2 years ago
Other questions:
  • Rewrite in simplest rational exponent form √x • 4√x. Show each step of your process.
    11·1 answer
  • Problem page rachel purchased a prepaid phone card for $15 . long distance calls cost 23 cents a minute using this card. rachel
    11·1 answer
  • a 120 degree sector of a circle has an area of 67 square centimeters. to the nearest centimeter, what is the diameter of the cir
    13·1 answer
  • What is the slope of a line that passes through the origin and point (-3 -2) a. 2/3 b. -2/3 c. 3/2 or d. -3/2
    7·2 answers
  • How to find the area of a rectangle with fractional sides?
    5·1 answer
  • The diagram shows two shapes<br>drawn on a centimetre grid.<br>a) Find the area of shape P.<br>​
    11·1 answer
  • Factor the expression 4x-20
    12·1 answer
  • What are the factors and zeros of g(x)=2x2+9x−5?
    15·1 answer
  • In a class of 25 students, 18 were math majors, 12 were computer science majors, and 7 were dual majors in math and computer sci
    5·1 answer
  • sorry if the pic is blurry if u can't tell what it says in the middle (where the line is) it says 4in and all the other number s
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!