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
Anon25 [30]
3 years ago
5

Find the margin of error for a poll, assuming that 95% confidence level and π = 0.5.(a) n = 50 (Round your answer to 4 decimal p

laces.) Margin of error________.(b) n = 200 (Round your answer to 4 decimal places.) Margin of error________.(c) n = 500 (Round your answer to 4 decimal places.) Margin of error________.(d) n = 2,000 (Round your answer to 4 decimal places.) Margin of error________.
Mathematics
1 answer:
Gelneren [198K]3 years ago
4 0

Answer:

a. Margin of Error = 0.1386

b. Margin of Error = 0.0694

c. Margin of Error = 0.0439

d. Margin of Error = 0.0220

Step-by-step explanation:

Margin of Error = Critical z Value * Standard Error

From the formula, we need the critical z value to get our margin of error

To get the critical value, we need the significance level

Significance level =1 - confidence

Significance level = 1 - 95%

Significance level (SE)= 1 - 0.95 = 0.05

Critical value = Z(SE/2)

Critical value = Z(0.05/2)

Critical value = Z(0.0025) = 1.96 ------------ From z table

1. Given

n = 50

π = 0.5

First, we calculate the standard error

Standard Error (SE) = √(π)(1-π)/n

For n =50,

SE = √0.5(1-0.5)/50

= √0.5*0.5/50

= √0.005

SE = 0.070711 (Approximated)

SE = 0.071 (Approximated)

Margin of Error = Critical value * standard error

Margin of Error = 1.96 * 0.070711

Margin of Error = 0.138594

Margin of Error = 0.1386 ---------- Approximated

2. Given

n = 200

π = 0.5

First, we calculate the standard error

Standard Error (SE) = √(π)(1-π)/n

SE = √0.5(1-0.5)/200

= √0.5*0.5/200

= √0.00125

SE = 0.0354 (Approximated)

Margin of Error = Critical value * standard error

Margin of Error = 1.96 * 0.0354

Margin of Error = 0.069384

Margin of Error = 0.0694 ---------- Approximated

3. Given

n = 500

π = 0.5

First, we calculate the standard error

Standard Error (SE) = √(π)(1-π)/n

SE = √0.5(1-0.5)/500

= √0.5*0.5/500

= √0.0005

SE = 0.02236067977499789696409

SE = 0.0224 (Approximated)

Margin of Error = Critical value * standard error

Margin of Error = 1.96 * 0.0224

Margin of Error = 0.043904

Margin of Error = 0.0439 ---------- Approximated

4. Given

n = 2000

π = 0.5

First, we calculate the standard error

Standard Error (SE) = √(π)(1-π)/n

SE = √0.5(1-0.5)/2000

= √0.5*0.5/2000

= √0.000125

SE = 0.01118033988749894848204

SE = 0.0112 (Approximated)

Margin of Error = Critical value * standard error

Margin of Error = 1.96 * 0.0112

Margin of Error = 0.021952

Margin of Error = 0.0220 ---------- Approximated

You might be interested in
The product of a number and twelve is 36
Zina [86]

Answer:3

Step-by-step explanation:36/12=3

/ = division

8 0
3 years ago
1. Factor the trinomial: x2 - 7x - 8
telo118 [61]

1. A

-8+1=7 and 8*1=8

2. A

-5*8= -40 and 8-5= 3


7 0
3 years ago
The line with equation a + 4b = 0 coincides with the terminal side of an angle θ in standard position and cos θ>0 . What is t
Nikitich [7]

Answer:

\frac{-1}{\sqrt{17} }

Step-by-step explanation

We have given that equation of line a+4b=0

⇒4b= -a

⇒b= \frac{-a}{4}

slope of line = tan\theta =\frac{P}{B}= \frac{-1}{4}

⇒ tan\theta is negative therefore it lies into 4th quadrant

By, Pythagoras theorem H^2=P^2+B^2

by putting value of P= -1 & B=4

the value of H=\sqrt{17}

with the given condition cos\theta>0

i.e. \theta∈ (3π/2, 2π)

now, sin\theta= \frac{P}{H}= \frac{-1}{\sqrt{17}}



6 0
2 years ago
PLEASE SOMEONE HELP ME
Julli [10]

Answer:

The answer is 5 times

Step-by-step explanation:

First, we need to read the change in price in 2000 and 2007, from the graph.

So, the change in price in 2000 was $0.14 and in 2007 it was $0.71.

Now, we do the same thing we always do when comparing two values - we divide them. So:

0.71 / 0.14 = 5.07

Of course, we could multiply these values with 100, in order to avoid decimal numbers. Then we would get:

71 / 14 = 5.07

We could also divide this in the form of fractions:

71/100 / 14/100 = 5.07

There are several ways we could divide rational numbers, but the result will always be the same.

Change in price in 2007 was around 5 times greater than the change in 2000.

I hope this helps!!;-)

6 0
2 years ago
 In a​ company, 80​% of the workers are women. If 480 men work for the​ company, how many workers are there in​ all? Use pencil
nekit [7.7K]

Answer:

The total workers are<u> 2400.</u>

Step-by-step explanation:

Given:

In company 80% of the workers are women.

480 workers are men.

Now, to find the total workers in all.

<u><em>In first way:</em></u>

If women are 80%, then men would be 100-80 = 20%.

Let the total workers be x.

According to question:

20\%\ of \ x=480

⇒\frac{20}{100} \times x=480

⇒0.20\times x=480

⇒0.20x=480

Dividing both sides by 0.20 we get:

⇒x=2400.

Total workers = 2400.

<em><u>Now, in second way</u></em>.

Again, let the total workers be  x.

According to question:

x-80\%\ of\ x=480

⇒x-\frac{80}{100}\times x=480

<em>On solving:</em>

⇒x-0.80x=480

⇒0.20x=480

<em>Dividing both sides by 0.20 we get:</em>

⇒x=2400.

<em>Total workers = 2400.</em>

Therefore, the total workers are <u>2400</u>.

7 0
3 years ago
Other questions:
  • 9 times 864 work shown plz
    8·1 answer
  • The volume of a cylinder is 441π cubic centimeters and its radius is 7 centimeters. What is the height of the cylinder?
    14·2 answers
  • Is x^2 = 55 irrational or rational
    14·2 answers
  • Which of the following are true about the graph of f(x)=−4x2?<br> Select the TWO that apply.
    15·1 answer
  • A summer camp counselor wants to find a length x in feet across a lake as represented in the sketch to the left
    13·1 answer
  • How many two dimensional objects does this object shown above have?
    14·1 answer
  • The percent of working students increased 12.2% to 32.9%, what was the percent prior to the increase?
    5·1 answer
  • Mrs. Morales wrote a test with 16 questions covering spelling and vocabulary. Spelling questions (x) are worth 5 points and voca
    5·2 answers
  • FREEEE POINTSSSSSSSS<br><br> 10 MINUS 8
    9·2 answers
  • How much cost Rs 1136 when it is 10% discount and 13% vat is added then find out the discount and Vat amount
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!