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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
Find the following angle measures.<br><br> mEAD = <br> °<br><br><br> mCAB = <br> °
sergejj [24]

<u>Part 1)</u> Find m∠EAD

we know that

m∠EAD+m∠DAF+m∠BAF=180\° ----> by supplementary angles

solve for m∠EAD

m∠EAD=180\°-(m∠DAF+m∠BAF)

in this problem we have

m∠DAF=90\°

m∠BAF=61\°

substitute in the formula above

m∠EAD=180\°-90\°-61\°=29\°

therefore

<u>the answer part 1) is </u>

m∠EAD=29\°

<u>Part 2)</u>  Find m∠CAB

we know that

m∠CAB+m∠BAF=180\° --------> by supplementary angles

solve for m∠CAB

m∠CAB=180\°-m∠BAF

in this problem we have

m∠BAF=61\°

substitute in the formula above

m∠CAB=180\°-61\°=119\°

therefore

<u>the answer part 2) is</u>

m∠CAB=119\°

6 0
3 years ago
Read 2 more answers
Solve for in x in <br>4+3 (2x-4)=28​
Goryan [66]

Answer: x=6

Step-by-step explanation:

Let's solve your equation step-by-step.

4+3(2x−4)=28

Step 1: Simplify both sides of the equation.

4+3(2x−4)=28

4+(3)(2x)+(3)(−4)=28(Distribute)

4+6x+−12=28

(6x)+(4+−12)=28(Combine Like Terms)

6x+−8=28

6x−8=28

Step 2: Add 8 to both sides.

6x−8+8=28+8

6x=36

Step 3: Divide both sides by 6.

6x

6

=

36

6

3 0
3 years ago
Read 2 more answers
Please help asap :((((
White raven [17]

Answer: A

Step-by-step explanation:

Focus on what it is saying. It is saying that 5x IS LESS THAN OR EQUAL TO 15.

So we are looking for smaller numbers, that is, values of x, in order to make this statement true.

So on a number line we are looking for the left part shaded in.

Furthermore... notice that the sign has "or equal to". Thus the circle is going to be shaded in. The circle is not going to be open and empty. Through this we have eliminated answers B and C.

So the answer is A because— remember— the left side of the number line is shaded. It encompasses negative numbers. A negative number times 5 will definitely be less than 15.

4 0
2 years ago
What can be added to -1 so it can be a positive 1?
Tanzania [10]
So represent missing number with x
x means unknown so
x+-1=+1
adding a negative means subtraction
x-1=1
you can do anything to an equation as long as you do it to both sides
add 1 to both sides
x+1-1=1+1
x+0=2
x=2

the number is 2
8 0
3 years ago
1 point
Elan Coil [88]

Your current balance if you started the day with $100 in your account is $73

First step is to calculate the total cash at bank

Using this formula

Total Cash at bank= Cash at bank + Deposit

Let plug in the formula

Total Cash at bank=$100+90

Total Cash at bank=$190

Second step is to calculate the amount debited

Debit amount=($60+$3)+($34+$20)

Debit amount=$63+$54

Debit amount=$117

Now let determine your current balance

Current balance=Total cash at bank-Amount debited

Let plug in the formula

Current balance=$190-117

Current balance=$73

Your current balance if you started the day with $100 in your account is $73

Learn more here:

brainly.com/question/22165984

7 0
2 years ago
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