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
Natali [406]
3 years ago
10

Compute the standard error for sample proportions from a population with proportion p= 0.55 for sample sizes of n=30, n=100 and

n=1000 . Round your answers to three decimal places.
Mathematics
1 answer:
Pani-rosa [81]3 years ago
8 0

Given Information:

Population proportion = p =  0.55

Sample size 1 = n₁ = 30

Sample size 2 = n₂ = 100

Sample size 3 = n₃ = 1000

Required Information:

Standard error = σ = ?

Answer:

$ \sigma_1 = 0.091 $

$ \sigma_2 = 0.050 $

$ \sigma_3 = 0.016 $

Step-by-step explanation:

The standard error for sample proportions from a population is given by

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

Where p is the population proportion and n is the sample size.

For sample size n₁ = 30

$ \sigma_1 =  \sqrt{\frac{p(1-p)}{n_1} } $

$ \sigma_1 =  \sqrt{\frac{0.55(1-0.55)}{30} } $

$ \sigma_1 = 0.091 $

For sample size n₂ = 100

$ \sigma_2 =  \sqrt{\frac{p(1-p)}{n_2} } $

$ \sigma_2 =  \sqrt{\frac{0.55(1-0.55)}{100} } $

$ \sigma_2 = 0.050 $

For sample size n₃ = 1000

$ \sigma_3 =  \sqrt{\frac{p(1-p)}{n_3} } $

$ \sigma_3 =  \sqrt{\frac{0.55(1-0.55)}{1000} } $

$ \sigma_3 = 0.016 $

As you can notice, the standard error decreases as the sample size increases.

Therefore, the greater the sample size lesser will be the standard error.

You might be interested in
if Sandy can afford car payments of $140/month for 4 years what is the price of a car that she can afford now?
Galina-37 [17]
6720 would be the correct answer

5 0
3 years ago
A bean salad has 20 beans in all. It is made up of:
vlabodo [156]
10 Lima beens
8 red beans
2 black-eyed beans
3 0
2 years ago
Betty has some hair ribbons that are blue. She has 19 blue ribbons. Three times the number of blue ribbons decreased by 5 is gre
likoan [24]

Answer:

3x-5> 6x- 14

Step-by-step explanation:

Let the blue ribbons be denoted by the letter x.

Then according to the given condition

3 times the blue ribbons = 3x

Decreased by 5 = 3x-5

is greater than

6 times the blue ribbons = 6x

decreased by 14 = 6x-14

Putting in one line

3x-5> 6x- 14

Solving the inequality

3x-5> 6x- 14

Taking both sides positive as in modulus

14-5 > 6x-3x

9> 3x

9/3 > x

3> x

Again solving for inequality

3x-5> 6x- 14

Taking one side negative that is mod

3x-5> -6x + 14

3x+ 6x > 14+5

9x> 19

x > 19/9

x > 2.11

so x lies between 2 and 3

3 > x > 2.11

Now putting the values for x= 19

3x-5> 6x- 14

57-5> 114-14

52 > 100 False

Now putting the values for x= 3

3x-5> 6x- 14

9-5> 18-14

4>4  False

Now putting the values for x= 2

3x-5> 6x- 14

6-5> 12-14

1> -2   True

There are 2 blue ribbons

5 0
3 years ago
Read 2 more answers
Refer to the equation 2x − 3y = 18.
Mice21 [21]

There is the table. <3

7 0
3 years ago
Help soon its for my grade Draw 2u –1/3v
laiz [17]
Do you have a picture where I can understand it much better?
4 0
3 years ago
Other questions:
  • HELP ME PLEASE I NEED HELP ASAP
    11·1 answer
  • The open tray shown in the illustration is to be manufactured from a 18-by-19-inch rectangular sheet of metal by cutting squares
    9·1 answer
  • Please help me factor this quartic polynomial!! and explain how pls! i tried to start it
    8·2 answers
  • The distance from the center of a round table top to the edge of the table top is 4 feet what's the area of the tabletop
    6·2 answers
  • Suppose that 80% of all trucks undergoing a brake inspection at a certain inspection facility pass the inspection. Consider grou
    14·1 answer
  • HURRY MATH QUIZ <br> From the list, which terms are like 5x?
    7·2 answers
  • ANSWER FAST PLEASE 20 POINTS !!!<br> Where will this shape be after a reflection in the line y = x?
    12·2 answers
  • Indica el valor del 3 en cada uno de los siguientes números 35.097 _ 753.978 _ 7.543 _ 312.501
    6·1 answer
  • Help me out i’ll give all five stars
    13·1 answer
  • * Indique 4 ejemplos<br>en los cuales aparezca<br>un nivel de medicion diferente ​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!