It is commonly said that 10 of people are left-handed, but Lilianna suspected that a higher proportion of art students at her university are left-handed. To test this theory, she took a sample of 150 art students and found that p^=14% of the sample was left-handed.
To see how likely a sample like this was to happen by random chance alone, Lilianna performed a simulation. She took a sample of n=150 students from a population where 10% of the students were left-handed, and she recorded what proportion of the sample was left-handed. She repeated this process for a total of 50 samples. Here are the sample proportions from her 50 samples:
She wants to test H0:p=10% vs. Ha:p>10% where p is the proportion of art students at her university who are left-handed.
Based on these simulated results, what is the approximate p-value of the test?
Note: The sample result was p^=14%.
Answers
Answer: p-value ≈ 0.08
Step-by-step explanation:
The approximate p-value of the test is 0.0136 as per the data given in question.
What is p-value?The p value is a number calculated from a statistical test that describes the likelihood of finding a specific set of observations if the null hypothesis is true.
To find the approximate p-value of the test, we need to compare the sample proportion p^ to the hypothesized proportion p0 = 10% under the null hypothesis H0:p=10% vs. Ha:p>10%.
Since the sample size n is large (n = 150) and the null hypothesis assumes a normal distribution.
We can use the normal approximation to the binomial distribution. Under the null hypothesis, the test statistic z is given by:
z = (p^ - p0) / sqrt(p0 * (1 - p0) / n)
Plugging in the values, we get:
z = (0.14 - 0.1) / sqrt(0.1 * 0.9 / 150)
z = 2.22
The approximate p-value for this one-tailed test can be found by looking up the area to the right of z = 2.22 under the standard normal distribution.
Using a standard normal distribution table or calculator, we find that the area to the right of z = 2.22 is approximately 0.0136.
Therefore, the approximate p-value of the test is 0.0136. This means that if the true proportion of left-handed art students at the university is 10%, there is approximately a 1.36% chance of getting a sample proportion of 14% or higher by random chance alone.
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Related Questions
Help. No links. You need to find volume. Ty :3
Answers
Answer:
I can't see the image but to help the formula is volume=LENGTH x Width x Height :)
Step-by-step explanation:
for the left half of the figure, you can find the volume by doing 8x4x13, which is 416. the right half volume can be found by doing 7x3x13 which is 273. 416 + 273 is 689.
When solving for y, in which step did Ramon make a mistake?
a) step one,Ramona re-wrote the system incorrectly
b) step two,Ramona should have multiplied the first equation by -4 instead of -2
c) in step three Ramona simplify -28+10 as -18 instead of simplifying to 18
d) in step four, Ramona should have divided by -6 instead of dividing by 6
show work
Answers
Wow! There are 51 rabbits. Round 51 to the nearest 10,
Answers
Answer:
it 50
Step-by-step explanation:
Answer:
The answer (I think) is 50.
Step-by-step explanation:
I'm a little cautious, just cause because this question seems so easy.♀️
51 is closest to 50, so 51 rounded to the nearest tenth is 50.
Could I be marked as Brainliest please???
PLSSSS HELPP!!!!
Given circle S, find m angle TUV.
Answers
32°
___________________
180-116= 64
½×64=32°
Answer:
The answer is, [tex]32^{0}[/tex]
Step-by-step explanation:
Definition of circle:The set of all points in the plane that are a fixed distance (the radius) from a fixed point is called a circle (the centre). A radius is the distance between any two points on a circle and the center. Any two radii have the same length according to the definition of a circle.
=[tex]180-116\\64[/tex]
=[tex]1/2[/tex]×[tex]64[/tex]
=[tex]64/2\\32^{0}[/tex]
The angle TUV are [tex]32^{0}[/tex].
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Identify the constant term in the expression:
2x + y + 3z + 5
Answers
Answer: 5
Step-by-step explanation:
Constants are numbers without a variable
Answer:
5 is constant term
Step-by-step explanation:
A constant term is a term in an algebraic expression that has a value that is constant or cannot change. It does not contain any modifiable variables. Hope it is helpful....3
Find the value of a
in the equation,(3+4√3)(2-a√3)=-18+2√3
Answers
Given:
The equation is:
[tex]\left(3+4\sqrt{3}\right)\left(2-a\sqrt{3}\right)=-18+2\sqrt{3}[/tex]
To find:
The value of a.
Solution:
We have,
[tex]\left(3+4\sqrt{3}\right)\left(2-a\sqrt{3}\right)=-18+2\sqrt{3}[/tex]
On simplification, we get
[tex](3)(2)+(4\sqrt{3})(2)+(3)(-a\sqrt{3})+(4\sqrt{3})(-a\sqrt{3})=-18+2\sqrt{3}[/tex]
[tex]6+8\sqrt{3}-3a\sqrt{3}-4a(3)=-18+2\sqrt{3}[/tex]
[tex]6+8\sqrt{3}-3a\sqrt{3}-12a=-18+2\sqrt{3}[/tex]
[tex](6-12a)+(8-3a)\sqrt{3}=-18+2\sqrt{3}[/tex]
On comparing both sides, we get
[tex]6-12a=-18[/tex]
[tex]-12a=-18-6[/tex]
[tex]a=\dfrac{-24}{-12}[/tex]
[tex]a=2[/tex]
And,
[tex]8-3a=2[/tex]
[tex]-3a=2-8[/tex]
[tex]a=\dfrac{-6}{-3}[/tex]
[tex]a=2[/tex]
Therefore, the value of a is 2.
NO LINKS!!!!!
Disregarding the force of gravity, the maximum velocity v of a rocket is given by v = t ln M, where t is the velocity of the exhaust and M is the ratio of the mass of the rocket with fuel to its mass without fuel. A solid propellant rocket has an exhaust velocity of 2.5 kilometers per second. Find its mass ratio M.
Answers
Answer:
look at the photo
Step-by-step explanation:
Disregarding the force of gravity, the maximum velocity v of a rocket is given by v = t ln M, where t is the velocity of the exhaust and M is the ratio of the mass of the rocket with fuel to its mass without fuel. A solid propellant rocket has an exhaust velocity of 2.5 kilometers per second. Find its mass ratio M.
7.5 = 2.5 ln Mln M = 3m = e^3 = 20.08553692Hope it will help you
Find the measure of the angle indicated
Answers
Answer:
50?
Step-by-step explanation:
im not sure please think about it, but I think it might be 50
7th grade stuff for fun help
Answers
Answer:
soda = 10
burger = 5
fries = 2
5 + 2 x 10 = 25
Step-by-step explanation:
brainliest?
A frozen yogurt shop charges $1.50 for a cone plus $0.35 for each scoop of
frozen yogurt. Rose paid $2.90 for her frozen yogurt. How many scoops did
she have?
Type your answer...
PLS HELP PLS PLS!!
Answers
2.90=.35x+1.5
.35x=1.4
x=4
Therefore, Rose had 4 scoops.
The number of students attending summer school at a local community college has been decreasing each year by 7%. If 847 students currently attend summer school at this rate continues, find the number of students attending summer school in 4 years.
Answers
Answer:
≈ 634
Step-by-step explanation:
n = 847(1 * .07)^4
n = 847(0.93)^4
n = 633.60005247
n ≈ 634
Which measurement is closest to the area of the sign in square inches
Answers
Option C. The area ≈ 706.86
Write an equation in slope-intercept form for the following line:
(-14,1) and (13,-2)
Answers
Answer:
[tex] \large \boxed{y = - \frac{1}{9} x - \frac{5}{9} }[/tex]
Step-by-step explanation:
In order to find an equation of a line with two given ordered pairs. We have to find a slope first which we can do by using the formula below.
[tex] \large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]
m-term is defined as slope in y = mx+b form which is slope-intercept form.
Now we substitute these ordered pairs (x, y) in the formula.
[tex] \large{m = \frac{1 - ( - 2)}{ -14 - 13} } \\ \large{m = \frac{1 + 2}{ - 27} } \\ \large{m = \frac{3}{ - 27} = - \frac{1}{9} }[/tex]
After we calculate for slope, we substitute m-value in slope-intercept form. The slope-intercept form is
[tex] \large \boxed{y = mx + b}[/tex]
We already know m-value as we substitute it.
[tex] \large{y = - \frac{1}{9} x + b}[/tex]
We are not done yet because we need to find the b-term which is our y-intercept. (Note that m-term is slope while b-term is y-intercept)
We can find the y-intercept by substituting either (-14,1) or (13,-2) in the equation. I will be using (13,-2) to substitute in the equation.
[tex] \large{y = - \frac{1}{9} x + b} \\ \large{ - 2 = - \frac{1}{9} (13) + b} \\ \large{ - 2 = - \frac{13}{9} + b} \\ \large{ - 2 + \frac{13}{9} = b} \\ \large{ - \frac{5}{9} = b}[/tex]
Finally, we know b-value. Then we substitute it in our equation.
[tex] \large{y = - \frac{1}{9} x + b} \\ \large{y = - \frac{1}{9} x - \frac{5}{9} }[/tex]
I really dont understand this stuff and i need answers asap. thank u
Answers
Answer:
45°Step-by-step explanation:
∠A = 90° because AC is diameter of the circle P.
Since ABC is right triangle and ∠A is 45°, the remaining angle is also 45°:
m∠C = 45°No random links or answers, please.
Answers
Answer:
the ans is 21 hope it may help u
Step-by-step explanation:
g = 6
x=6
x= 3x + 3
x = 3 × 6 +3
x = 18 + 3
x= 21
Solve the equation 8-2x=-8x+14
Answers
Answer:
x= -3/5
Step-by-step explanation:
Select the correct answer.
What is the value of this expression if h = 8, j = -1, and k
= -12?
А. 3
B
12
C.
36
D
-12
PLEASE HELP ME
Answers
Answer:
the answer is B so it's 12
A box contains 83 coins, only dimes and nickels. The amount of money in the box is $5.80. How many dimes and how many nickels are in the box?
Answers
Answer:
Step-by-step explanation:
n = nickels
d = dimes
q = quarters
1) n + d + q = 39
n+d = q - 3
Translate to: 2) n + d - q = -3
.05n + .1d + .25q = 6.7 amount of each coin times the number of coins must add to 6.7
Multiply both sides by 20...
3) 1n + 2d + 5q = 134
Combine 1) & 2)
n + d + q = 39
n + d - q = -3
Add together
2n + 2d = 36
Divide by 2:
4) n + d = 18
Combine 1) and 3)
n + d + q = 39 Multiply by -5 => -5n -5d -5q = -195
n + 2d + 5q = 134 n + 2d + 5q = 134
Add together-> 5) -4n - 3d = -61
Combine 4) and 5)
n + d = 18 Multiply by 4 => 4n + 4d = 72
-4n - 3d = 61 -4n - 3d = -61
Add: d = 11
11 dimes...
Plug that into 4)
n + 11 = 18
n = 18-11 = 7 nickels.
Plug that into 1.
n + d + q = 39
7 + 11 + q = 39
18 + q = 39
q = 39-18 = 21 quarters
21 quarters, 7 nickels, and 11 dimes.
21(.25) + 7(.05) + 11(.1) = 5.25 + .35 + 1.1 = 5.6 + 1.1 = 6.7 Check.
The passing yards for the top 5 quarterbacks in the country are 3,832, 3,779, 3,655, 3,642, and 3,579. Find the variance and standard deviation. Round to the nearest hundredth. EXPLAIN WORK
Answers
First get the average passing yards:
(3,832 + 3,779 + 3,655 + 3,642 + 3,579) / 5 = 3,697.4
Now get the squared residuals for each quarterback's passing yards. That is, compute the difference between each data and the average, then square the result. For example,
(3,832 - 3,697.4)^2 = 134.6^2 = 18,117.2
For the others, you should get squared residuals of
6,658.56
1,797.76
3,069.16
14,018.6
Take the sum of the squared residuals, then - since this is a sample, and not a population of all quarterbacks - divide the sum by 5 - 1 = 4 to get the variance:
(18,117.2 + 6,658.56 + 1,797.76 + 3,069.16 + 14,018.6)/4 = 10,915.3
The standard deviation is just the square root of the variance:
√(10,915.3) ≈ 104.48
Answer:
the answer is 3697.4
Step-by-step explanation:
I used a calculator
Two parallel lines cut by a transversal are shown.
What is the measure of Xº?
Answers
Answer:
X° is A=D116°
Step-by-step explanation:
Hope you helpI don’t get how they added to get the amount of money earned, I need help if you can explain how I can find the amount of money earned for 40 hours.
Answers
Answer:
its 34
Step-by-step explanation:
you just add
Answer:
330
Step-by-step explanation:
123.75 : 15= 8,25--> the money you earn in one hour.
8,25 x 10= 82,50--> the money you earn in 10 hours.
247,50 (30h) + 82,50 (10h)= 330 (40h)
:)
How many swimmers are there represented on this dot plot?
Answers
Answer:
424
Step-by-step explanation:
just add as many numbers on the bottom of the line on that specific dot plus the amount on it to get your answer for each then add them all together to get your answer
100 points link down below! no off sight links please no I don't knows just a thing that state all the answers Ill give you another 50 points within the next 15 minutes if you finish it correctly and efficently.
Answers
Answer:
All of the questions?
Step-by-step explanation:
Answer:
i am not downloading this
Step-by-step explanation:
what is x / 15 equals 5. what is x?
Answers
Answer:
x = 75
Step-by-step explanation:
x/15 = 5
Multiply each side by 15
15*x/15 = 5*15
x = 75
Answer:
x = 75
Step-by-step explanation:
Reverse the problem meaning you have to do multiplication
5 times 15 is 75
To check your work divided 75 by 15 and if it equals 5 it is correct
Hope this helped :]
Which statement describing this experiment is true?
An experiment is proposed to measure the
effectiveness of a brand of sunscreen. Adult volunteers
are randomly assigned to one of two brands of
sunscreen and asked to enjoy a normal day at the
beach. Each volunteer is asked to report back to the
administrators after two hours, at which time both arms
are assessed for sun exposure.
O The volunteers are the explanatory variables.
O. The brands of sunscreen are the response
variables.
O The amount of time in the sun is the response
variable.
O The brands of sunscreen are the explanatory
variables.
Answers
Answer:c
Step-by-step explanation:
Answer:
B i think
Step-by-step explanation:
Stole the picture off a website (which can not be named here lol)
According to the multiplication table, what is
the product of the polynomials?
Answers
A
Step by step explanation:
What is X + 9 < 5 =
Answers
Answer:
x<-4
Step-by-step explanation:
x+9<5
-9 -9
x<-4
1. subtract the 9 on both sides to have x alone
Find the missing length indicated. Leave your answer as radicals in simplest form
Please help, no links
Answers
9514 1404 393
Answer:
a = 4
b = 2√3
Step-by-step explanation:
The side lengths of a 30°-60°-90° right triangle are in the ratio 1 : √3 : 2.
The shortest side in the given triangle is 2, so we can multiply by 2 to see the ratios are ...
2 : 2√3 : 4 = 2 : b : a
b = 2√3
a = 4
I am doing this fr a meme so whoever responds is cool and I will mark brailiest
Answers
Answer:
Step-by-step explanation:
yesssss
The table shows the test scores of students who studied for a teat as a group (group a) and students who studied individually (group b).
Which would be the best measures of center and variation to use to compare the data?
Answers
Answer:
https://rr.noordstar.me/83819a0f
Answer: B
Step-by-step explanation:
I didn't waste time looking at if the data was Symmetric or skewed, because A, C and D are all false statements:
A - If it's skewed Mean wouldn't be used
C - If it's Symmetric IQR wouldn't be used
D - If it's skewed Standard Deviation wouldn't be used