Suppose that 20% of voters are in favor of a certain legislation. A large number n of voters are polled and a relative frequency estimate fA(n) for the above proportion is estimated. How many voters should be polled so that the probability is at least 0.95 that fA(n) differs from 0.20 by less than 0.02?
Answers
Answer:
8000 voters
Step-by-step explanation:
E is the difference between probability that is real and those which are estimated
Sd² = p(1-p)
When solve this, using the formula in the attachment,
0.95 = 1-0.2(0.2)²/n(0.02)
0.95 = 1 - 0.16/n(0.02)²
1-0.95 = 0.16/n(0.02)²
0.05 = 0.16/0.0004n
We cross multiply here
0.05 x 0.0004n = 0.16
0.00002n = 0.16
Divide through by 0.00002 to get n
n = 8000
This is the number of voters that should be polled
Related Questions
are Equilateral triangles always acute triangles.
Answers
Answer:
Yes, they can only have acute angles (all measure 60°)
Step-by-step explanation:
Melissa and Madeline love pepperoni pizza, but sometimes they are disappointed with the small number of pepperonis on their pizza. To investigate, they went to their favorite pizza restaurant at 10 random times during the week and ordered a large pepperoni pizza. Here are the numbers of pepperoni on each pizza.
47 36 25 37 46 36 49 32 32 34
Use the 4 step method to construct and interpret a 95% confidence interval for the true mean number of pepperonis on a large pizza at this restaurant.
Answers
Answer:
(31.919,42.881)
Step-by-step explanation:
Using the t-distribution, it is found that the 95% confidence interval for the true mean number of pepperonis on a large pizza at this restaurant is (31.92, 42.88). It means that we are 95% that the true mean number of pepperonis for all large pizzas at the restaurant is within this interval.
In this problem, we will find the standard deviation for the sample, hence the t-distribution will be used.
What is a t-distribution confidence interval?The confidence interval is given by:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.For this problem:
The sample size is n = 10.Using a calculator, we have that [tex]\overline{x} = 37.4, s = 7.66[/tex].The critical value, considering a 95% confidence interval with 10 - 1 = 9 df, is of t = 2.2622.The lower bound of the interval is:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 37.4 - 2.2622\frac{7.66}{\sqrt{10}} = 31.92[/tex]
The upper bound of the interval is:
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 37.4 + 2.2622\frac{7.66}{\sqrt{10}} = 42.88[/tex]
The 95% confidence interval for the true mean number of pepperonis on a large pizza at this restaurant is (31.92, 42.88). It means that we are 95% that the true mean number of pepperonis for all large pizzas at the restaurant is within this interval.
More can be learned about the t-distribution at https://brainly.com/question/16162795
HURRY THIS IS REALLY IMPORTANT
Answers
Answer:\ b.
Step-by-step explanation:
Hope this helps!!
Which of the following is in the solution set to 3x - y = 12? (hint: what
makes the equation true)
(3,2)
(0,4)
(-4,0)
(8,12)
Answer(8,12)
Answers
24-12=12
The fourth choice.
Yeah I think you already got it
Is 3times4 the same as 4 times 3
Answers
Answer:
Yes, 3x4=12 and 4x3=12
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
3 × 4 = 12
4 × 3 = 12
A man who is 2m tall stands on horizontal ground 30m from a tree. The Angel of elevation of the top of the tree from his eyes is 28 . Fine the distance between the men eyes to the top of the tree
Answers
Answer:33.95 m
Step-by-step explanation:
Given
The height of the man is 2 m
Distance between man and tree is 30 m
the angle of elevation of the top from the eyes is [tex]28^{\circ}[/tex]
from the figure,
[tex]\Rightarrow \tan 28^{\circ}=\dfrac{h}{30}\\\\\Rightarrow h=30\tan 28^{\circ}=15.91\ m[/tex]
Using Pythagoras we can write
[tex]\Rightarrow AD^2=ED^2+AE^2\\\Rightarrow AD^2=30^2+15.91^2\\\Rightarrow AD=33.95\ m[/tex]
Thus the distance between the men eyes to the top of the tree is 33.95 m
Find the perimeter and area of the figure
Answers
Answer:
C.
Step-by-step explanation:
C. is the only answer option with the correct perimeter of 18u
area is correct too
Answer:C
Step-by-step explanation: If you look at the graph it shows that the triangle is 18.u as a perimeter and 20.5 as area.
find an ordered pair (x, y) that is a solution to the equation 4x-y=5
Answers
Answer:
An ordered pair that is a solution to the equation is (2,3).
Step-by-step explanation:
To find an ordered pair that is a solution to the equation, we attribute a value to one of the variables(x or y), and find the other.
4x-y=5
Using y = 3
4x - 3 = 5
4x = 8
x = 8/4 = 2
An ordered pair that is a solution to the equation is (2,3).
Natasha conducted a survey to determine how many of the 215 workers in her office building use public transportation to get to work. She surveyed 30 randomly selected workers who entered the office cafeteria throughout the day. Of the 30 workers surveyed, 9 used public transportation to get to work. Which change to Natasha's survey process would make the data more reliable? A. Randomly select the sample in the lobby of the building so workers who do not enter the cafeteria can be included. B. Have workers complete a written survey so there is a written record of the responses. C. Ask a randomly selected sample of people who use public transportation whether their office is in the building. D. Use a different sample size so the predicted number of workers who use public transportation is a whole number.
Answers
Answer:
A. Randomly select the sample in the lobby of the building so workers who do not enter the cafeteria can be included.
Step-by-step explanation:
Randomly select the sample in the lobby of the building so workers who do not enter the cafeteria can be included.
We have given that,
Natasha conducted a survey to determine how many of the 215 workers in her office building use public transportation to get to work. She surveyed 30 randomly selected workers who entered the office cafeteria throughout the day. Of the 30 workers surveyed, 9 used public transportation to get to work.
We have to determine that,
a change to Natasha's survey process would make the data more reliable.
What is random selection?
Random sampling, or probability sampling, is a sampling method that allows for the randomization of sample selection each sample has the same probability as other samples to be selected to serve as a representation of an entire population.
Randomly select the sample in the lobby of the building
So workers who do not enter the cafeteria can be included.
Therefore the correct option is A.
Thus, Randomly select the sample in the lobby of the building so workers who do not enter the cafeteria can be included.
To learn more about the random sample visit:
https://brainly.com/question/24466382
#SPJ2
Norris bought a television for $899. If the tax is 5.5%, how much sales tax will he pay?
Answers
Answer:
$49.445 or $49.5 if they round
Step-by-step explanation:
Answer:
$948.45
Step-by-step explanation:
■ Sales tax: $49.45
■ Cost/Price before ST: $899.00
■ Total Cost/Price including ST: $948.45
Question 11
2 pts
If the temperature at 10:00 am is -23° F and two
hours later at 12.00 pm the temperature rose 6
degrees Fahrenheit, what is the
temperature at
12:00 pm in degrees?
Answers
Use the distributive property to write an equivalent expression. 4(2x+3)
Answers
Answer:
20x
Step-by-step explanation:
4(2x+3)
4(5x)
4x5x
20x
Help plzzzzzzxhshshxyxush
Answers
Answer:
a.
Step-by-step explanation:
because "six hundered one" is 601 and "five hundredths" is .05 so the only number with both those 2 is a so the awnser is a.
Find the area of the shape shown below.
Answers
Answer:
6
Step-by-step explanation:
Area of sq:
A = bh
A = (2)(2)
A = 4
Area of triangle:
A = 1/2bh
A = 1/2(2)(2)
A = 2
Combined:
4 + 2 = 6
Please help trigonometry and special right trianglez
Answers
Answer:
Step-by-step explanation:
Find the surface area of the prism. A solid with six rectangular faces that has length 5 inches, width 3 inches, and height 7 inches. 5 in 3 in 7 in The surface area of the prism is ?
Answers
Answer:
290in
Step-by-step explanation:
find ratio of 13cm : 65m
Answers
Answer:
1:5
Step-by-step explanation:
13cm: 65cm = 13cm/65cm =13/65 = 1/5= 1:5
What is 3x3/6 because I can’t figure it out
Answers
Answer:
its 48
Step-by-step explanation:
Answer: 1.5
Step-by-step explanation:
WILL GIVE BRAINLIST BLS HELP Find z. Just write the number. Answer should be a whole number.
Answers
Answer:
I think the anwser is 8
Step-by-step explanation:
Answer:
It will be 8
Step-by-step explanation:
because the triangle will be in a ratio of 1:[tex]\sqrt{3}[/tex]:2, here 1 corresponds to 4, so the sides will be 4, 4\sqrt{3} and 8!
A bakery used 45% more butter this month than last month. If the bakery used 320 kilograms of butter last month, how much did it use this month?
Answers
Answer:
464 kg butter
Step-by-step explanation:
45% of 320 kg - 144
320+140-464
answer this asap plsssssssssssssssssssssss
Answers
Answer =6
Step-by-step explanation:
-2 through positive 3, i'm sorry if this is incorrect!
A car travels 6 mile in 2 hours what is the unit rate
A 3 miles/ hour
B 1 mile/3 hour
C 3 /1 mile
D6 miles/ 1 hour
Answers
Answer:
A
Step-by-step explanation:
This is a fraction equal to
6 miles ÷ 2 hours
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 2
6 miles ÷ 2 2 hours ÷ 2= 3 miles1 hour= 3 miles hour = 3 miles per hour
HELP don’t answer of u don’t know ty
Answers
Explanation
rollers = 3.00 per issue
international= 4.00 per issue
Telling now = 2.50 per issue
adventures = 3.00 per issue
HAVE A GUD DAY
Answer:
Telling Now magazine costs the least per issue.
Step-by-step explanation:
Cost of Roller's Magazine per issue=$18/6=$3
Cost of International Traveler per issue=$32/8=$4
Cost of Telling Now per issue=$25/10=$2.5
Cost of Greatest Adventures per issue=$36/12=$3
The cost of Telling Now magazine per issue is the least one of all.
choose the correct equation please
Answers
Answer:
y=3×+6
Step-by-step explanation:
bla bla bla bla bla bla bla hhhhhhhhhhhh
The difference between three times a number and 5 is 10.
Answers
Answer:
Equation: 3x-5=10
Answer: X=5
Step-by-step explanation:
3 times a number (represented as X) and 5 (means subtract by 5)
3x-5=10
Add 5 on both sides
3x=15
X=5
Answer:
3(5) - 5 = 10
15 - 5 = 10
10 = 10 x = 5
Step-by-step explanation:
Three times a number is 3x because you do not know the number.
Add five to both sides of the equation.
Divide both sides of the equation by 3 and the solution is x = 5
I’ll give points and brainalist for correct answer
Answers
Answer:
A. 2
Step-by-step explanation:
Circumference of a circle = 2πr
if π = 3.14
and C = 6.28
6.28 = 2(3.14)r
r= 1
d= 2r
d= 2 * 1
d= 2
Raelyn spent $6.00 on butterfly stickers for her bathroom wall. Each sticker cost 1/10 of a dollar. how many stickers did Raeyln but?From the same store,Beth biught 1/4 the number of butterfly stickers Raeyln bought.How many butterfly stickers did Beth buy?
Answers
Answer:
Raeyln bought 60 stickers, Beth bought 15 stickers
Step-by-step explanation:
simple math l.mao
20x^2-12x-8
a. (10x+2) (2x+5)
b.(5x+2) (4x-4)
c. (5x-2) (4x+4)
d. (10x-2) (2x-5)
Answers
Answer:
B
Step-by-step explanation:
20x^2 - 12x - 8
4 ( 5x^2 - 3x - 2 )
5 * - 2 = - 10
Factors of - 10
1 , - 10
10, - 1
2, - 5
5, - 2
5x^2 - 5x + 2x - 2
5x (x - 1) 2 (x - 1)
4 (x - 1) (5x + 2)
(4x - 4) (5x + 2)
20. The top layer of a circular wedding cake has a
diameter is 15 inches. The bottom layer of the circular
wedding cake has radius is 30 inches. How many times
greater is the circumference of the bottom layer than
the top layer?
Answers
Answer:
4 times
Explanation:
tc = 15×π = 47.12.. in
bc = 2×30×π = 188.49.. in
bc = 188.5/47.12 = 4 times
Can anyone help me I would really appreciate it.
Answers
Answer:
7c + 4 = 8
7c = 8 -4
7c = 4
c=4/7