According to data from the United States Elections Project, only 38 percent of eligible voters voted in the 2014 elections. For random samples of size 40, which of the following best describes the sampling distribution of p, the sample proportion of people who voted in the 2014 elections?
A. The sampling distribution is approximately normal, with mean 0.36 and standard deviation 0.076.
B. The sampling distribution is approximately normal, with mean 0.36 and standard deviation 0.006.
C. The sampling distribution is skewed to the right, with mean 0.64 and standard deviation 0.006.
D. The sampling distribution is approximately normal, with mean 0.64 and standard deviation 0.076.
E. The sampling distribution is skewed to the left, with mean 0.36 and standard deviation 0.076.

Answers

Answer 1

Answer:

I think it's either A or E sorry if I'm wrong

Answer 2

Using Central Limit Theorem, it is found that the option which best describes the sampling distribution of p, the sample proportion of people who voted in the 2014 elections is:

A. The sampling distribution is approximately normal, with mean 0.36 and standard deviation 0.076.

The Central Limit Theorem states that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

In this problem:

The proportion is [tex]p = 0.38[/tex].Samples of size 40, hence [tex]n = 40[/tex].

Hence, the mean and standard error are given by:

[tex]\mu = p = 0.38[/tex]

[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.38(0.62)}{40}} = 0.076[/tex]

Also approximately normal, hence, option A is correct.

To learn more about the Central Limit Theorem, you can take a look at https://brainly.com/question/16695444


Related Questions

PLEASE TELL ME THE ANSWER BUT DONT ATACH LINKS PLEASEEEEEEEE!!!!!

Answers

Answer:

B)

Step-by-step explanation:

Answer:

B) [tex]3.87[/tex]×[tex]10^{8}[/tex]

PLSSS HElpppp!! DUE TODAYYY⛔️

Some children measured the lengths of their feet. The lengths are given in the line plot. What is the difference in length between the shortest and longest foot?

Answers

The answer is b. The answer is 5/8

Answer:

Step-by-step explanation:

Write the ratios for sin A and cos A.

Answers

Answer:

Step-by-step explanation:

I am pretty sure it is B because if you do SOH CAH TOA you get that

The Statistical Abstract of the United States (109th edition) reported that the mean age of all U.S. registered merchant vessels is 23.6 years. Records for 38 randomly selected U.S. registered grain cargo ships showed that the mean age was 26.7 years with a standard deviation of 5.2 years. Is this type of ship older than the national average of all merchant vessels

Answers

Answer:

Yes, we can conclude that the ship is older than the national average

Step-by-step explanation:

Population mean, μ = 23.6

Sample mean, xbar = 26.7

Sample size, n = 38

H0 : μ = 23.6

H0 : μ > 23.6

The test statistic :

(xbar - μ) ÷ (σ/√(n))

(26.7 - 23.6) ÷ (5.2/√(38))

3.1 / 0.8435513

Test statistic = 3.675

Decision region :

Reject H0 ; if |Tstatistic| > |Tcritical|

Since we are given the sample standard deviation ; we use the T test distribution

df = 38 - 1 = 37

Tcritical at df = 37 ; α = 0.05 ; rigth tailed :

Tcritical(0.05, 37) = 1.687

3.675 > 1.687 ; Hence, we reject H0 and conclude that there is enough evidence that this type of shop is older than the national average.

Find an explicit formula for the geometric sequence -9\,,-18\,,-36\,,-72,...

Answers

Answer:

[tex]f(x)=-9(2)^(^x^-^1^)[/tex]

Explanation:

First, we find the common ratio by dividing any term by its previous term. We should do this a couple of times to make sure it's consistent. In this case, our common ratio is 2. Our first (or 1th) term of the sequence is -9, so our formula becomes

[tex]f(x)=-9(2)^(^x^-^1^)[/tex].

A secret agent being a mathematician, transmitted an important 2-digit locker number in
the following manner: “The difference in the digits is four. The sum of the number and the number formed by reversing the digits is 132.” Find the locker number.

Answers

Answer:

48

Step-by-step explanation:

Since there are only a few possibilities, I was able to guess and check:

15+51=66 and 66 is not 132

26+62=88 and 88 is not 132

37+73=110 and 110 is not 132

48+84=132 and 132 is 132.

Please give Brainliest!

Line m contains the points G(-2,3) and H (5,1).
What is the slope of a line perpendicular to line m?

Answers

Answer:

3.5

Step-by-step explanation:

Given points are ,

G(-2,3) H (5,1)

Firstly find the slope of the line passing through these two points . Therefore ,

=> m = y₁ - y₂ / x₁ - x ₂

=> m = ( 3 - 1)/(-2-5)

=> m = -2/7

The slope of line perpendicular to it will be negative of reciprocal of the slope . Let m' be the slope of perpendicular line .

=> m' = -1/m

=> m' = -1 ÷ -2/7

=> m' = -1 × -7/2

=> m' = 7/2 = 3.5

Hence the slope of the line perpendicular to the given line is 3.5 .

Consider the following vectors: y = (2,4), v = (-1, -1), and w = (7.-2).
What is the vector for 3u + v- 2w in component form?
(20,15)
(10,7)
(-6,1)
(-9.15)

Answers

Answer:

(-9.15)

Step-by-step explanation:

We are given these following vectors:

u = (2,4), v = (-1,-1), w = (7,-2)

What is the vector for 3u + v- 2w in component form?

3u + v - 2w = 3(2,4) + (-1,-1) - 2(7,-2) = (6,12) + (-1,-1) + (-14,4) = (6 - 1 - 14, 12 - 1 + 4) = (-9, 15)

The answer is (-9,15).

pls help this is due in 10 minutes I don’t wanna fail

Answers

Answer:

5.12

6.14

7.36

8.17

9.8

10.24

I need help with this question I don’t understand it much?

Answers

Answer:

-5

Step-by-step explanation:

I think the m is for measure of line AB

10. If ABCD is a kite, DB=48 in. and CE=7 in. find DC. *

49 in.
23 in.
25 in.
47 in.

Answers

Answer:

25 in.

Step-by-step explanation:

DEC is a right triangle. <DEC is a right angle.

(DE)² + (EC)² = (DC)²

DE = ½DB = ½(48 in.) = 24 in.

(24 in.)² + (7 in.)² = (DC)²

576 in.² + 49 in.² = (DC)²

(DC)² = 625 in.²

DC = 25 in.

Someone help me pls!!!!????

Answers

Answer:

Greatest would be Chlorine Krypton Argon Fluorine and least Hydrogen

Answer:

J, I, G, K, H.

Step-by-step explanation:

The elements go from least to greatest, and since they are negatives, we sort them from the highest negative to the lowest negative.

What is the relationship between how Jews were portrayed to the public and their persecution during the holocaust?

Hint: Find how they were portrayed to the public by Hitler and then follow that up with How were they persecuted during the Holocaust?

Answers

Answer:

Step-by-step explanation:

This is actually in the wrong place. It should probably be in English or History, but I'll answer it anyway.

You need to start by seeing the way they were portrayed in cartoons, in writing (mainly newspapers), on the radio, in speeches and on the streets. Start with the Bible. The Old Testament was about the law mostly and behavior as much as anything. The people who lived and were governed by the OT generally were very pious unless they were rebellious sinners.

The New Testament is a slightly different matter. In most of Europe the peasantry thought the Jews were Christ Killers. That thought was dominent throughout the Middle Ages.  It isn't true. Jesus was a Jew, so were the disciples, so were the huge crowds that followed Him to at least hear what he had to say.

It was only the ruling classes (The Pharisees, the Sadducees, and the scribes and teachers), that were not fond of Jesus. But that fact was not emphasized. Out of that picture and the displacement of the Jews after the Temple was destroyed, grew the caricatures of what the Jews were.

Anti Semitism was quite common in Europe. Most people fell for the propaganda that said the Jews were the spawn of the Devil. It became easy to kill those that were felt to be evil.

I urge you to start your own study of what happened. Start with the Inquisition.

Find the measurement of angle FRQ

Answers

Answer:

90 degrees

Step-by-step explanation:

Two angles in a triangle have measures of 62° and 15º.What is the measure of the third angle?​

Answers

Answer:

103 degrees

Step-by-step explanation:

The angles in a triangle always add up to 180 degrees

so 62+15=77

180-77=103

hope it helps :)

Answer:

103º

Step-by-step explanation:

All angles of a triangle add up to 180º

This means:

62º + 15º + the third angle = 180º

Then you just solve:

180º - 77º = 103º

Hope this helps :)

determine if the two triangles are congruent. If they are, State how you know. NO LINKS!!!! ​

Answers

9514 1404 393

Answer:

SASnotSSSAAS

Step-by-step explanation:

Look at the angles and sides that are marked, and their relationships to each other. Shared sides are congruent to themselves. Vertical angles are congruent. The possible congruence theorems are ...

  SSS SAS AAS ASA (and HL for right triangles--not applicable here)

__

1. two marked sides and the vertical angle between are congruent. The triangles are congruent by the SAS theorem.

2. only one side and angle are marked. Insufficient information. Not congruent.

3. two marked sides and the shared side are congruent. The triangles are congruent by the SSS theorem.

4. the vertical angles, the marked angles, and the marked sides are congruent. The triangles are congruent by the AAS theorem.

A stadium has 8,436 seats that are divided into 12 different sections. Each section has the same number of seats.
How many seats are in each of the 12 sections? please show the work

Answers

Answer:

703

Step-by-step explanation:

You divide the 8436 by 12.

1. You can't divide the 8 by 12 so skip that

2. You can divide 84 by 12 so you get 7

3. Bring down the 3 (you have 0 as a remainder). You can't divide that so put a 0

4. Bring down the 6 and divide that (36) and you get 3

5. Your final answer would be 703.

How much interest is to be paid at 1500 principal, 7% compounded annually, and for 3 years

Answers

Answer:

I = 337.56

Step-by-step explanation:

Given that,

Principal, P = 1500

Rate, R = 7%

Time, t = 3 years

We need to find the interest if it is compounded annually. We know that, the amount is given by :

[tex]A=P(1+\dfrac{r}{100})^n[/tex]

Put all the values,

[tex]A=1500\times (1+\dfrac{7}{100})^3\\\\A=1837.56[/tex]

We know that,

Interest = Amount - Principal

I = 1837.56 - 1500

I = 337.56

Hence, the interest is equal to 337.56.

if you are to measure the following figure for real,what tool(ruler or meter stick) and unit of measur(m, cm, in,) will you use..........
help me guys plsss​

Answers

1. Meter stick(m) 2. Ruler (in) 3. Meter stick (m)

Angle Relationships

Determine the height of each triangle. Round to the nearest foot.

a. 7 ft
b. 5 ft
c. 8 ft
d. 4 ft

Please select the best answer from the choices provided

Answers

Answer:

A. 7 ft

Step-by-step explanation:

I calculated it logically

A. 7ft is the answer hope I helped

HELP PLEASE!!!!!! ILL MARK U BRAINLESS!!!!! FOR THE FIRST PERSON!!!

Answers

Answer:

54,000 teenagers

Step-by-step explanation:

72/100* 75,000/1=54,000

How many holes need to be drilled for 24 parts

Answers

24 holes needed to be drilled

WHOEVER ANSWERS BOTH GETS BRAINLIEST AND POINTS , pls help and no links!!

Answers

Answer:

See below for answers and explanations

Step-by-step explanation:

1) Substitute d=100 into the equation and solve for s:

s=sqrt(9.81d)

s=sqrt(9.81(100))

s=sqrt(981)

s≈31.32

Therefore, the speed of the wave will be about 31.3 m/s

2) Substitute d=1000 into the equation and solve for s:

s=sqrt(9.81d)

s=sqrt(9.81(1000))

s=sqrt(9810)

s≈99.05

Therefore, the speed of the wave will be about 99 m/s

Person on top is correct.

Solve the equation for exact solutions over the interval​ [0, 2π​).

Answers

Answer:

[tex]\displaystyle x=\left\{0, \frac{2\pi}{3}, \frac{4\pi}{3}\right\}[/tex]

Step-by-step explanation:

We want to solve the equation:

[tex]-2\cos^2(x)=-\cos(x)-1[/tex]

Over the interval [0, 2π).

First, notice that this is in quadratic form. So, to make things simpler, we can let u = cos(x). Substitute:

[tex]-2u^2=-u-1[/tex]

Rearrange:

[tex]2u^2-u-1=0[/tex]

Factor:

[tex](2u+1)(u-1)=0[/tex]

Zero Product Property:

[tex]2u+1=0\text{ or } u-1=0[/tex]

Solve for each case:

[tex]\displaystyle u=-\frac{1}{2}\text{ or } u=1[/tex]

Back-substitute:

[tex]\displaystyle \cos(x)=-\frac{1}{2}\text{ or } \cos(x)=1[/tex]

Using the unit circle:

[tex]\displaystyle x=\left\{0, \frac{2\pi}{3}, \frac{4\pi}{3}\right\}[/tex]

find the slope of the line passing through
-2, 7 ) and ( 0, 1 )​

Answers

Answer:

-3

Step-by-step explanation:

write the coefficient of a in 7 a​

Answers

Given:

The term is 7a.

To find:

The coefficient of "a" in the given term "7a"​.

Solution:

In the product of a number and a variable, the number is called the coefficient of that variable.

In the expression "7a", the number is "7" and the variable is "a". It means the number 7 is the coefficient of "a".

Therefore, the coefficient of "a" in the given term "7a" is 7​.

Can someone please help me I can will mark u brilliant

Answers

Answer:

8

Step-by-step explanation:

if you take all of the numbers 5 5 6 6 7 7 7 8 8 8 9 9 9 9 10

8 is in the midle thus making it the median

i apologise if this is wrong i have not done this kind of math in a while, but i hope this helps

Answer:

its 8...................

51
13
14
a) How many words (with or without any meaning) can be formed by arranging the
letters in the word MEDITERRANEAN?
How many words ?

Answers

Answer:

may be 13 I hope this is the right answer

I need help please this isath i need my grade thx alot

Answers

Answer:

A, -475ft

Step-by-step explanation:

Answer: -475 ft

Step-by-step explanation: -95 x 5= -475

all the steps used to solve -3/4x = -24

Answers

Answer:-x=2

Step-by-step explanation: -3/4x=-24 divide -3/4x for each of the numbers, which is equal to -x=2

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