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
ELEN [110]
3 years ago
15

A recent survey based on a random sample of n=470 voters, predicted that independent candidate for the mayoral election will get

24% of the vote, but he actually got 27%. discuss whether the claim that suggest the survey was done incorrectly! explain your rational.
Mathematics
1 answer:
julsineya [31]3 years ago
7 0

I have an expression

\sigma = \sqrt{p(1-p)/n}

floating around in my head; let's see if it makes sense.

The variance of binary valued random variable b that comes up 1 with probability p (so has mean p) is

E( (b-p)^2 ) =  (-p)^2(1-p) + (1-p)^2p = p(1-p)

That's for an individual sample. For the observed average we divide by n, and for the standard deviation we take the square root:

\sigma = \sqrt{p(1-p)/n}

Plugging in the numbers,

\sigma = \sqrt{.24(1-.24)/490} = 0.019 = 1.9\%

One standard deviation of the average is almost 2% so a 27% outcome was 3/1.9 = 1.6 standard deviations from the mean, corresponding to a two sided probability of a bit bigger than 10% of happening by chance.

So this is borderline suspect; most surveys will include a two sigma margin of error, say plus or minus 4 percent here, and the results were within those bounds.

You might be interested in
Help plz really plzz
MAXImum [283]
1. 156
2. 15.6
3. 1.56 

You just move the decimal point in depending on the number or zeros.
4 0
3 years ago
Read 2 more answers
The data in the table shows a sinusoidal relationship between the number of seconds an object has been moving and its velocity
blsea [12.9K]

Answer:

the answers are 8, 20, and 12

6 0
2 years ago
Read 2 more answers
Find the area to the nearest square foot of the shaded region below, consisting of a square with a circle cut out of it. Use 3.1
NeTakaya

Answer:

22 square feet

Step-by-step explanation:

Area of shaded region = Area of square - Area of circle. The diameter of the circle is also the length of the side of the square as the circumference of the circle is on the circumference of the square.

Area of circle = 3.14 × r × r

r = 10 ÷ 2

= 5

Area of circle = 3.14 × 5 × 5

= 78.5

Area of square = length × length

Area of square = 10 × 10

= 100

Area of shaded region = Square - Circle

= 100 - 78.5

= 21.5

= 22 (to the nearest square foot)

I hope this helps :)

7 0
2 years ago
Complete the statement with a situation and a unit of your choice. Then answer the question and draw a diagram.
bixtya [17]

Answer:

a small bucket holds 75% as much as a large bucket

answer:48

Step-by-step explanation:

thanks me later guys

3 0
3 years ago
Read 2 more answers
Please help quickly! no bots!
Sliva [168]

Answer:

Question 2: 4th answer, Question 3: 3rd answer

Step-by-step explanation:

I think that is correct hope it helps!

3 0
2 years ago
Read 2 more answers
Other questions:
  • If a new car has 2 transmission​ types, 3 vehicle​ styles, 2 option​ packages, 9 exterior color​ choices, and 2 interior color​
    10·1 answer
  • I need the answers to these or for someone to tell me how to figure it out
    7·2 answers
  • The equation T^2=A^3 shows the relationship between a planet’s orbital period, T, and the planet’s mean distance from the sun, A
    6·1 answer
  • A red balloon starts at 7.3 meters off the ground and rises at 2.6 meters per second. A blue balloon starts at 12.4 meters off t
    8·1 answer
  • Please Help!
    12·1 answer
  • How to tell the transformation of graphs?​
    13·2 answers
  • The probability distribution histogram shows the number of trees in yards in a certain neighborhood.
    8·1 answer
  • Consider the inequality x + 7 < 9. Select all the true statements.​
    14·1 answer
  • A rocket is launched into the air the height in yards of the rocket is a function of time in seconds as shown in the following t
    7·1 answer
  • HEY GUYS CAN SOMEONE PLEASE HELP I NEED TO PASS THIS!!<br> THANKS SO MUCH FOR THE HELP!
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!