Information about the proportion of a sample that agrees with a certain statement is given below. Use StatKey or other technology to estimate the standard error from a bootstrap distribution generated from the sample. Then use the standard error to give a 95% confidence interval for the proportion of the population to agree with the statement. StatKey tip: Use "CI for Single Proportion" and then "Edit Data" to enter the sample information. Click here to access StatKey. In a random sample of 400 people, 112 agree and 288 disagree. Estimate the standard error using 1000 samples. Round your answer to three decimal places.
Answers
Answer:
a) Standard Error = 0.010
b) 95% Confidence Interval = (0.0924 , 0.1316)
Step-by-step explanation:
a) The formula for Standard Error = √Sample Proportion (1 - sample proportion)/n
Standard Error = √p (1 - p)/n
We are told in the question that:
In a random sample of 400 people, 112 agree and 288 disagree. Estimate the standard error using 1000 samples
p = x/n
n = 1000 because we were told to use it instead of 400
x = number for people that agree = 112
p = 112/1000
p = 0.112
Standard Error = √p (1 - p)/n
= √0.112 (1 - 0.112)/1000
= √0.112 × 0.888/1000
= √0.099456 /1000
= √0.000099456
= 0.0099727629
Approximately to 3 decimal places = 0.010
Therefore, the standard error is 0.010
b) The Question above also asked that we solve for the 95% Confidence Interval
The formula =
p ± z × Standard Error
p = 0.112
z score for 95% confidence interval = 1.96
Standard Error = 0.010
Confidence Interval =
0.112 ± 1.96 × 0.010
= 0.112 ± 0.0196
0.112 - 0.0196
= 0.0924
0.112 + 0.0196
0.1316
Therefore, the 95% confidence interval = (0.0924 , 0.1316)
Answer:
Step-by-step explanation:
SO yeah there you go
Related Questions
Which rays are part of line BE?
Ac and
O AB and AĖ
AC and AB
AB and F
Answers
Answer:
We are given a diagram with different rays and lines.
Note: A line can be extend more and more upto infinitely length from both of the ends but a ray can be extend from end only.
We need to find the rays for the line BE.
We can see BE line has a point A in between line.
So, we can name the rays formed with end point A as AB and AE.
Therefore, AB and AE rays are part of line BE.
So, the correct option is 2nd option :
AB and AE.
Step-by-step explanation:
A garbage company recycles ½ tons of plastic every 3 minutes. At this rate, approximately how many tons of plastic does the company recycle in two days?
Answers
Answer:
Total number of minutes in 2 days = 2880
Total time used for recycling garbage in 2 days = 2880/3 = 960
If 3 minutes = 1/2 tons
Then 960 minutes = 960*1/2 = 960/2 = 480
Therefore 480 tons of garbage where recycled in 2 days
what is equivalent to (10+7r-r^2)+(-6r^2-18+5r)
Answers
Answer:
- 7r² + 12r - 8
Step-by-step explanation:
Given
(10 + 7r - r² ) + (- 6r² - 18 + 5r) ← remove parenthesis
= 10 + 7r - r² - 6r² - 18 + 5r ← collect like terms
= - 7r² + 12r - 8
The expression (10 + 7r - r² ) + (- 6r² - 18 + 5r) is equivalent to - 7r² + 12r - 8 after applying the property.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
It is given that:
The expression is:
(10 + 7r - r² ) + (- 6r² - 18 + 5r)
Using distribution property:
After applying the above property the expression can be written as:
10 + 7r - r² - 6r² - 18 + 5r
Adding like terms:
- 7r² + 12r - 8
Thus, the expression (10 + 7r - r² ) + (- 6r² - 18 + 5r) is equivalent to - 7r² + 12r - 8 after applying the property.
Learn more about the expression here:
brainly.com/question/14083225
#SPJ6
pleaseee help meeee 42 + 1 x 4
Answers
Answer:
46
Step-by-step explanation:
4 x 1=4 then 42+4=46
Factor the numerator of the function H(x) =(x^2-3x-4)/(X-4). What do you notice about the numerator and denominator of the function?
Answers
Answer:
(x-4)*(x+1)/x-4
x≠4
Step-by-step explanation:
As an aid to the establishment of personnel requirements, the director of a hospital wishes to estimate the mean number of people who are admitted to the emergency room during a 24-hour period. The director randomly selects 64 different 24-hour periods and determines the number of admissions for each. For this sample, X = 396 and S = 100. Using the sample standard deviation as an estimate for the population standard deviation, what size sample should the director choose if she wishes to estimate the
Answers
This Question is Incomplete
Complete Question
As an aid to the establishment of personnel requirements, the director of a hospital wishes to estimate the mean number of people who are admitted to the emergency room during a 24-hour period. The director randomly selects 64 different 24-hour periods and determines the number of admissions for each. For this sample, X = 396 and S = 100. Using the sample standard deviation as an estimate for the population standard deviation, what size sample should the director choose if she wishes to estimate the mean number of admissions per 24-hour period to within 1 admission with 99% reliability, what size sample should she choose?
Answer:
Sample size n = 16
Step-by-step explanation:
We use the formula for Margin of Error for the question
Margin of Error = z × Standard deviation/√n
Margin of Error = 1
z score for 99% confidence interval = 2.576
Standard deviation = 100
1 = 2.576 × 100/√n
1 × √n = 257.6
√n = 257.6/1
n = √257.6
n = 16.049922118
Approximately = 16
Therefore, the sample size = 16
PLEASE HELP ME:
John took a 5-mile walk to his friend's house.
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He left at 11 a.m. and arrived at his friend's house at 12:45 p.m.
What was his average speed of walking in miles per hour?
Answers
Answer:
it would take 21 minutes per mile
Step-by-step explanation:
how can you tell whether a square root of a whole number is rational or irrational
Answers
Answer:
Real numbers have two categories: rational and irrational. If a square root is not a perfect square, then it is considered an irrational number. These numbers cannot be written as a fraction because the decimal does not end (non-terminating) and does not repeat a pattern (non-repeating).Step-by-step explanation:
Charles can ride his bike 4 miles in 20 minutes. Which of the following ratios show the number of miles to minutes Charles can ride his bike?
Answers
Answer:
1:5
Step-by-step explanation:
He rode one mile in 5 minutes because 4/4 is 1 and 20/4 is 5
What is the value of (3x10^-3
Answers
Answer:
0.003 or 3/1000
Step-by-step explanation:
5,280 feet = __ miles
Answers
Answer:
1
Step-by-step explanation:
5280 feet = 1 mile
Answer:
1 mile
Step-by-step explanation:
I took the diagnostic
Please rate and give a thanks if this helped
Add me as a friend:)
Good Luck!!!
PLEASE HELP ASAP!!!!
Answers
Answer:
your answer would be the second option.
Step-by-step explanation:
How this is is because it is in simple y=mx+b formation
the b is +1 and you go down one and over to the three which is decreasing so it would be -1/3
4.2: Weekend Earnings
Jada has time on the weekends to earn some money. A local
bookstore is looking for someone to help sort books and will pay
$12.20 an hour. To get to and from the bookstore on a workday,
however, Jada would have to spend $7.15 on bus fare.
Answers
Answer:
Step-by-step explanation:
5.15 for the first hour after subtracting 12.20(7.15)
10x + 5
Please help me out
Answers
Answer:
-1/2 or -0.5
Step-by-step explanation:
10x +5 = 0
10x = -5
x= -5/10
x= -1/2 or 0.5
write the possible numbers between 1000 and 1100by by 11
Answers
Answer:
There are 10 terms
Step-by-step explanation:
the volume of the truck is 162 yards. To find how many cubes will fit in each dimension, divide that length by the side of the cube
Answers
Answer:
180 cubes would be fit inside the truck
Step-by-step explanation:
well we know 1 cube is 1/10 of a yard
so let’s make it a easier number and say 10 cubes is 1 yard (you multiply 10 on each side, as long as you multiply the same number, which can be any number but I use 10 since it’s easier, on both sides, it’ll be the same thing.
so 162/10=16
So 16, 10 cubes si we multiply those two and you’ll get 160.
But there’s 2 yards not filled yet, we know that 1 yard is 10 cubes, so 2 yards would be 20 cubes.
so 160+20=180
180 cubes
Answer:
This is my alt so here ya go the answers 180
Step-by-step explanation:
Im the. Other dude
is y = 4x linear or non linear ?
Answers
Answer: yes it is linear
Step-by-step explanation:
5-7*
Someone please answer this
Answers
Answer:
-2
Step-by-step explanation:
hope i helped!
Answer:
The answer is - 2
Step-by-step explanation:
5-7= - 2
3[1+5(4-2)]
Please Answer ASAP!!!!
Answers
Answer:
It's 36
Step-by-step explanation:
3 × [1+5]×(4-2)]
3×[6×(2)]
3×[12]
=36
(4-2)= 2
3[1+5(2)]
3[1+10]
3[11]
33
PEMDAS
someone help plz ASAP this is hard
Answers
Answer:
The first answer.
Step-by-step explanation:
Answer:
7x-6= -20
Step-by-step explanation:
7 times a number would be known as 7x because we don't know the number so we would put that as x.
6 less than would be -6
=-20
answer would be
7x-6=-20
Use the given equations to determine which is the better option: One million dollars today $1 on day one, and each following day you receive 55% more than the previous day’s amount for 30 days an = a1 • r n − 1Sn = a1(1 − rn) 1 − r a1 = $ r = n =
Answers
Answer:
a1=1
r=1.55
n=30
next questions:
an= 330840.94
and B for the last question
Step-by-step explanation:
Edge2020
Answer:
give englandc19 brainliest
Step-by-step explanation:
its the only reason i answered
Which shows two expressions that are equivalent to (Negative 7) (Negative 15) (Negative 5)?
(Negative 7) (Negative 75) and (Negative 1) (525)
(Negative 1) (525) and (35) (Negative 15)
(35) (Negative 15) and (115) (negative 5)
(Negative 1) (525) and (115) (negative 5)
PLZZZZZZZZZZZZ HELPPPPPPPPPPPP!
Answers
Answer:
(-1)(525) and (35)(-15)
Step-by-step explanation:
Answer:
(-1)(525) and (35)(-15)
Step-by-step explanation:
Find the value of this expression if x = 5.
x2 + 2
x+4
Answers
Answer:
If x=5, the solution would be 3.
Answer:
3
Step-by-step explanation:
Mkay, let's do this.
If x = 5 we can replace all the x-values with 5. Like so,
[tex]5^{2} + 2[/tex] alright, now [tex]5^{2} = 25[/tex] then add two.
For the bottom it's just 5+4=9 we've now got a new fraction.
[tex]\frac{27}{9} = 3[/tex]
Hope that helps and have a great day!
6(5x) =(x +14)+(x+17) + ( 8x+9)
Answers
Answer:x=2
Step-by-step explanation:
Answer:
x = 2
Step-by-step explanation:
6 (5x) = (x +14) + (x+17) + (8x+9)
30x = 14 + 17 + 9 + 2x + 8x
20x = 40
x = 40/20
x = 2
Which polynomial is in standard form?
Answers
Answer:
C
Step-by-step explanation:
Standard form is [ ax² + bx + c ]
The exponents and variables determine what comes first. In [ 11x³ - 6x² + 5x ], we can see that the exponents are going from greatest to least and the last number doesn't have an exponent so it goes last. Essentially we can think of this as sorting each part from greatest to least using exponents -> variables -> number to determine that.
Best of Luck!
Solvefor x. x+3/5 =2
Answers
Answer: x=7/5 or 1 2/5
Step-by-step explanation:
Given
x+3/5=2
Subtract 3/5 on both sides
x+3/5-3/5=2-3/5
x=10/5-3/5 (This is to convert 2, as a integer, to a fraction in order to ease the
x=7/5 operation)
I know how to do this, but I have so much homework soo please help
Answers
Calculate the length of segment RS¯ with midpoint, M, if RM=5x and MS=x+12.
Answers
Answer:
So M is the midpoint of RS lmbo
Step-by-step explanation:
What you have here are lengths of two equal segments, expressed as different algebraic expressions.
you just set those two expressions equal, and solve for x. Then plug that x into EITHER of the two expressions, to get the equal lengths of RM & MS.
9n - 6 = 5n + 18
Solve
Answers
Answer:
n = 6
Step-by-step explanation:
9n - 6 = 5n + 18
Subtract 5n from each side
9n-5n - 6 = 5n-5n + 18
4n -6 = 18
Add 6 to each side
4n -6+6 = 18+6
4n = 24
Divide each side by 4
4n/4 = 24/4
n = 6
- 5n on both sides
4n - 6 = 18
Subtract 6 on both sides
4n = 12
Divide both sides by 4
n = 3
Given the functions, f(x) =3x -2 and g(x) = x+2/3, complete parts 1 and 2.
Find f(g(x)) and g(f(x)). Include your work in your final answer. Use complete sentences to explain the relationship that exists between the composition of the functions, f(g(x)) and g(f(x)).
Answers
Now, distribute the 3:
3x + 2 - 2
f(g(x)) = 3x
g(f(x)) = (3x - 2) + 2/3
Get a common denominator to add the faction
-6/3 + 2/3
g(f(x)) = 3x - 4/3
The relationship between the two composition functions is that they are commutative or permutable.
