Answer:
The estimated standard error for the sampling distribution of differences in sample proportions is 0.0382.
Step-by-step explanation:
To solve this question, we need to understand the Central Limit Theorem and subtraction of normal variables.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Subtraction of normal variables:
When we subtract normal variables, the mean is the subtraction of the means, while the standard error is the square root of the sum of the variances:
Of the 193 smokers taking a placebo, 29 stopped smoking by the 8th day.
This means that:
[tex]p_S = \frac{29}{193} = 0.1503[/tex]
[tex]s_S = \sqrt{\frac{0.1503*0.8497}{193}} = 0.0257[/tex]
Of the 266 smokers taking only the antidepressant buproprion, 82 stopped smoking by the 8th day.
This means that:
[tex]p_A = \frac{82}{266} = 0.3083[/tex]
[tex]s_A = \sqrt{\frac{0.3083*0.6917}{266}} = 0.0283[/tex]
Calculate the estimated standard error for the sampling distribution of differences in sample proportions.
[tex]s = \sqrt{s_S^2 + s_A^2} = \sqrt{0.0257^2 + 0.0283^2} = 0.0382[/tex]
The estimated standard error for the sampling distribution of differences in sample proportions is 0.0382.
The hypotenuse of a certain triangle is 5 units long and one leg is 3 units long
Did the area of the triangle
Answer:
6 units^2
Step-by-step explanation:
[tex]a^{2} +b^{2} =c^{2}[/tex]
[tex]3^{2} +b^{2} =5^{2}[/tex]
[tex]9+b^{2} =25[/tex]
[tex]b^{2}=16[/tex]
[tex]b=4[/tex]
Area of the triangle = Base * Height * 1/2 = 3 * 4 * 1/2 = 6 units^2
help anyone like asap plss
Answer: G. (-6,4), (3,5), (2,2) and (-5,1) just look where the dot plot is and you with know the answer.
Step-by-step explanation: Hope this help :)
The National Assessment of Educational Progress (NAEP) includes a "long-term trend" study that tracks reading and mathematics skills over time, and obtains demographic information. In the 2012 study, a random sample of 9000 17-year-old students was selected.24 The NAEP sample used a multistage design, but the overall effect is quite similar to an SRS of 17-year-olds who are still in school. In the sample, 51% of students had at least one parent who was a college graduate. Estimate, with 99% confidence, the proportion of all 17-year-old students in 2012 who had at least one parent graduate from college.
Answer:
The 99% confidence interval estimate for the proportion of all 17-year-old students in 2012 who had at least one parent graduate from college is (0.4964, 0.5236).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Sample of 9000, 51% of students had at least one parent who was a college graduate.
This means that [tex]n = 9000, \pi = 0.51[/tex]
99% confidence level
So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.51 - 2.575\sqrt{\frac{0.51*0.49}{9000}} = 0.4964[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.51 + 2.575\sqrt{\frac{0.51*0.49}{9000}} = 0.5236[/tex]
The 99% confidence interval estimate for the proportion of all 17-year-old students in 2012 who had at least one parent graduate from college is (0.4964, 0.5236).
A sports store received a shipment of 150 footballs and basketballs. 20% were basketballs. How many footballs were in the shipment?
Answer:
10 is the answer
Step-by-step explanation:
Answer:
120
Step-by-step explanation:
120 because 20% of the 150 balls is 30 or right so forth the football is a subtract the 150 from the 30 which gives you 120
When Melissa was born, her parents put $8,000 into a college fund account that earned 9% simple interest. Find the total amount in the account after 18 years. *
Answer:
$20,960
Step-by-step explanation:
Melissa's parent saved 8 000 dollars in the bank for her college fund account. It earns 9% annual interest. After 18 years, how much interest will it accumulate and how much is the total amount that Melissa will have fore her college fund.=> 9% = 9% / 100% = 0.09Let's find the annuak interest first => 8 000 dollars * .09 = 720 dollars The, let's find the after 18 years interest=> 720 dollars * 18 = 12 960 dollarsTotal of the amount: => 8 000 + 12 960 = 20 960 dollars
This is the same as the one above me but in simpler terms
Step-by-step explanation:
I =8000 x 9 x 18 =12,960
Total amount = 12960 +8000= $20,960
Answer:
$12960
Step-by-step explanation:
A=P(1+rt)
8000(1 + (0.09 × 18)) = 20960
A = $20,960.
I = A - P
I=20960-8000
ANS=$12960
Triangle ABC maps to triangle A′B′C′ by a 90∘ rotation counterclockwise about the origin.
If AB=61 units, BC=11 units, and AC=60 units, what is the length of A′C′?
11 units
61 units
90 units
60 units
Answer:
60 Units
Step-by-step explanation:
The length of AC does not change. Since the translation is a rotation, nothing about the size of the triangle should change. Meaning A'B'C' is still 60 units in length.
The length of the side A'C' of the triangle after rotation is A'C' =AC = 60 units
What is Rotation?The measure of the amount a figure is rotated about the center of rotation is called the angle of rotation. The angle of rotation is usually measured in degrees. We specify the degree measure and direction of a rotation.
90° clockwise rotation: (x,y) becomes (y,-x)
90° counterclockwise rotation: (x,y) becomes (-y,x)
180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)
270° clockwise rotation: (x,y) becomes (-y,x)
270° counterclockwise rotation: (x,y) becomes (y,-x)
Given data ,
Let the triangle be represented as ΔABC
Now , the measures of the sides of the triangle are
The measure of side AB = 61 units
The measure of side BC = 11 units
The measure of side AC = 60 units
And , the triangle is rotated by 90° counterclockwise about the origin
The coordinates of the triangle after rotation is A'B'C'
And ,
The measure of side A'B' = 61 units
The measure of side B'C' = 11 units
The measure of side A'C' = 60 units
The length of the sides of the triangle does not change during a transformation of rotation by any degree
Hence , the measure of side A'C' of triangle is 60 units
To learn more about rotation click :
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Part 2 of this question is..
What is Linda's Variation among all 10 days? We found the answer is 20 minutes but how do I show the work?
Answer:
20
Step-by-step explanation:
1/20 + x = 1/10 what is the value of x
Answer:
1/20
Step-by-step explanation:
1/20 +x = ⅒
multiply through by 20
1+20x=2
1-2=-20x
-1= -20x
1/20=x
Madison is preparing rice for 10 dinner guests. Each guest
eats Ģ of a cup of rice.
How many cups of rice does Madison need?
Answer:
door Sai so Lally shall icb kiddo do you have any questions
Step-by-step explanation:
ok CV bjf
The product of a number and 5 increased by 12 is 42. What is the number?
Answer:
6.
Step-by-step explanation:
6×5 = 30 (product=multiplication)
30+12=42 (increased=addition)
So, the answer is 6.
An ice cream store sells 5 drinks, in 3 sizes, and 3 flavors. In how many ways can a customer order a drink?
Answer:
45 ways
Step-by-step explanation:
5*3*3 = 45
Answer:
45
Step-by-step explanation:
5*3*3
5*3=15
15*3=45
What’s the correct answer for this question?
help! the measure of XY = 140 find the measure of angle 0
Answer:
it's 140 ÷ 2 = 70
bcz the XY is a Inscribed angle
Can someone help me with this pls
HELP PLEASE!!!!!!!!!!!
Answer:
x = 4
Step-by-step explanation:
7.5 + 7.5 = 15
[tex]\frac{x}{8}[/tex] = [tex]\frac{7.5}{15}[/tex]
cross multiply
15x = 60
divide
x = 4
or
since the bigger one is 2x smaller
8/2 = 4
Devaughn is 7 years younger than Sydney. The sum of their ages is 79 . What is Sydney's age?
Answer:
Sydney is 72 years old
Step-by-step explanation:
My friends name is Sydney too lol
Choose the equation that best describes the image
Answer:
80 degrees - 43 degrees = ?
Step-by-step explanation:
Suppose 12% of students surveyed said they have tried riding a zip line.
a. How many would say they have tried riding a zip line if 100 students were surveyed.
Answer:
12.
12% of 100= 12.
An entry code into a building is a 5-digit number.
The number of different codes can be counted using
a. permutations
b. combinations
Answer:B
Step-by-step explanation:
Please Help! What decimal is less than 0.4?
The decimal 0.7 is less than 0.4.
We have to determine
decimal is less than 0.4
What is the decimal?
A decimal number can be defined as a number whose whole number part and the fractional part is separated by a decimal point.
We know that the decimal numbers increase in size as we move to
The right on the number line
0.4 is less than 0.7.
Let us now compare 1.57 and 1.6.
Therefore, The decimal 0.7 is less than 0.4.
To learn more about the decimal visit:
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The temperature outside is 10°F. By evening, the temperature has dropped by 15°F. What is the new temperature?
Which of the following rules best describes the matrix below
a. dilation of scale factor 2
b. reflection over the y-axis
c. reflection over the line y = x
d. translation 1 unit left and 1 unit up
Answer: D
Step-by-step explanation:
d. translation 1 unit left & 1 unit up
right on edg
find the least common multiple of 10,15,25 please no links or photo
Answer:
150
Step-by-step explanation:
The LCM of 10,15,25 10 , 15 , 25 is 2⋅3⋅5⋅5=150 2 ⋅ 3 ⋅ 5 ⋅ 5 = 150 .
Kam
Find the area of this
irregular figure.
-9 ft
[?] square feet
8 ft
15 ft
26 ft
Answer:
c
Step-by-step explanation:
im on plato just passed the test
what linear equation is represented by the table
0 -2
1 2
2 6
3 10
solve for x. need help pls
Please Help me with this thank you
If the surface area of the box of cereal is 272 inches squared, find the length of the box.
Answer:
x= 8 inches
Step-by-step explanation:
you left out the other lengths but since i had this same question once, the other lengths are 12 and 2-
dimensions of the box:
12 in x 2 in x ?
=272 square inches
and we know that there are 6 faces
area= 2 *(12 * 2) + 2 *(2*x) + 2 *(12*x)
area = 272 sq. in. = 48 + 4x + 24x
272 = 48 + 28x
272 - 48 = 28x
224 = 28x
x = 8 inches
good luck :)
i hope this helps
brainliest would be highly appreciated
have a nice day!
The product of 3m and 5r is 15mr True or False Explain...
Step-by-step explanation:
let's see....
3m × 5r = 15mr
15(m × r)
15mr.
if it helps don't forget to like and mark me down
Please, my whole grade depends on this question!!!
Answer:
y = 14.4x - 18.4
Step-by-step explanation:
This is the equation for the regression line, I hope this helps!
