In a sample of 40 people 40% are black. Test the null hypothesis that the population proportion of black 0.2 against the altemative hypothesis that proportion is not equal to 0.2. Find the p value. DA 0.5186 O 0.0015 OC 0.0528 OD 0,1967
Answers
In this case, the p-value is not provided in the question, so the actual value needs to be calculated using the appropriate statistical test.
What is the correlation coefficient between two variables when their covariance is 120 and their standard deviations are 15 and 10, respectively?In hypothesis testing, the p-value represents the probability of obtaining the observed sample data, or more extreme data, assuming that the null hypothesis is true.
It measures the strength of evidence against the null hypothesis.
In this case, the null hypothesis is that the population proportion of black people is 0.2.
The alternative hypothesis is that the proportion is not equal to 0.2, indicating that there may be a difference in the population proportion.
To find the p-value, a statistical test (such as a proportion test) is performed using the sample data.
Based on the given information, the p-value is the probability associated with the test statistic obtained from the test.
The p-value indicates the likelihood of observing a proportion as extreme or more extreme than the one observed in the sample, assuming the null hypothesis is true.
A smaller p-value suggests stronger evidence against the null hypothesis.
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Related Questions
Taxable
Income Tax
$49,020 or less………………………………………………………………………..…15%
in excess of $49
Answers
For taxable income of $49,020 or less, the tax rate is 15%. Any taxable income exceeding $49,020 will be subject to a different tax rate, which is not specified in the given information.
The provided information outlines the tax rates based on different taxable income brackets. For taxable income equal to or less than $49,020, the tax rate is 15%.
This means that if an individual or entity has a taxable income within this range, they will be required to pay 15% of their income as taxes. However, the information does not provide the tax rate for taxable income exceeding $49,020. To accurately calculate the tax liability for income above this threshold, the specific tax rate for that income range is required. Without knowing the tax rate for taxable income above $49,020, it is not possible to determine the exact tax liability for income in that range. The given information only provides the tax rate for taxable income up to $49,020, which is 15%.
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Please give me set of 6 elements with a mode of 5 and a median of 12 :)
Answers
Step-by-step explanation:
5, 5, 8, 16, 17, 18
the mode = 5
the median = (8+16)/2 = 24/2 = 12
Answer:
5, 5, 8, 16, 17, 18
the mode = 5
the median = (8+16)/2 = 24/2 = 12
Step-by-step explanation:
have a great day
Determine whether the given matrices are inverses of each other by computing their product. 0.3 0.20.3 A 5 3 0B--0.5 0 0.5 1.2 0.2-0.2 1 3 1 Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or decimals for each matrix element.) A. The given matrices are not inverses of each other because their product is the matrix B. The given matrices are inverses of each other because their product is the matrix
Answers
The correct choice is: A. The given matrices are not inverses of each other because their product is the matrix 0.13 0.4 1.1 1.5 1.9 3.5
To determine whether the given matrices are inverses of each other, we need to compute their product. We can do this by multiplying matrix A by matrix B:
A x B =
(0.3)(-0.5) + (0.2)(1.2) + (0.3)(-0.2) (0.3)(0) + (0.2)(0.5) + (0.3)(1)
(5)(-0.5) + (3)(1.2) + (0)(0.2) (5)(0) + (3)(0.5) + (0)(1)
(-0.2)(-0.5) + (1)(1.2) + (3)(0.2) (-0.2)(0) + (1)(0.5) + (3)(1)
Simplifying this expression, we get:
A x B =
-0.05 + 0.24 - 0.06 0 + 0.1 + 0.3
-2.5 + 3.6 + 0 0 + 1.5 + 0
0.1 + 1.2 + 0.6 0 + 0.5 + 3
A x B =
0.13 0.4
1.1 1.5
1.9 3.5
Now, we need to determine whether this product is the identity matrix or not. The identity matrix is a matrix with 1's on the diagonal and 0's elsewhere. In this case, the identity matrix would be:
1 0 0
0 1 0
0 0 1
We can see that the product of matrices A and B is not equal to the identity matrix. Therefore, the given matrices are not inverses of each other.
The correct choice is: A. The given matrices are not inverses of each other because their product is the matrix 0.13 0.4 1.1 1.5 1.9 3.5
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plot (1,-4) in a coodinate plane
Answers
Answer:
I can't graph this but I will do my best to explain.
From 0 go right once, then go down 4. that should be where you would put the dot on the graph.
Step-by-step explanation:
Hope this helps!
what is the value of 1 1/2 - 3/4
Answers
Answer:
It is 3/4
Step-by-step explanation:
You take the 3/4 out of the 1 and are left with 1/4 and then add that to the 1/2 and you get 3/4
Find the length of the third side. If necessary, write in simplest radical form
Answers
Answer:
5
Step-by-step explanation:
By the Pythagorean Theorem:
\( {x}^{2} + {10}^{2} = {(5 \sqrt{5} )}^{2} \)
\( {x}^{2} + 100 = 125\)
\( {x}^{2} = 25\)
\(x = 5\)
Linda got a prepaid debit card with $20 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 14 cents per yard. If after that purchase there was $17. 06 left on the card, how many yards of ribbon did Linda buy?
Answers
Therefore, Linda bought 21 yards of ribbon. Hence, Linda bought 94 yards of ribbon.
The number of yards of ribbon Linda bought, we need to calculate the difference between the initial balance on the card and the remaining balance after the purchase.
The initial balance on the card was $20. To find the amount spent on ribbon, we subtract the remaining balance ($17.06) from the initial balance. $20 - $17.06 = $2.94
Now, we need to determine how many yards of ribbon Linda could purchase with $2.94, given that the price of the ribbon is 14 cents per yard.
To find the number of yards, we divide the total amount spent ($2.94) by the price per yard (14 cents): $2.94 ÷ $0.14 = 21
Therefore, Linda bought 21 yards of ribbon.
Hence, Linda bought 94 yards of ribbon.
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John Thurgood founded a company that translates Chinese books into English. His company is currently testing a computer-based translation service. Since Chinese symbols are difficult to translate, John assumes the computer program will make some errors, but then so do human translators. The computer error rate, as promised by the computer program developer, is no more than three errors per 400 words. Suppose John randomly selects a 1200-word passage. If 15 errors are found in the 1200-word passage, what would you conclude about the accuracy of the computer program developer’s claim? Why? (Assume that it is possible for the computer to make more than one error in translating each word in the passage).
Answers
The presence of 15 errors in a 1200-word passage casts doubt on the accuracy of the computer program developer's claim that the error rate is no more than three errors per 400 words.
According to the computer program developer's claim, the maximum error rate is three errors per 400 words. However, when John randomly selected a 1200-word passage, he found 15 errors.
This suggests that the actual error rate is higher than what was promised by the developer. The occurrence of 15 errors in a 1200-word passage indicates a higher error rate than the claimed rate, raising concerns about the accuracy and reliability of the computer-based translation service. Further investigation and evaluation may be necessary to determine the actual performance of the program.
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What is the sufsce area with a diamater of 8. 2 ft
Answers
Area:
Approximately 211.24 square feet
Explanation:
Im going to assume you are asking for the surface area of a sphere with a diameter of 8.2ft. The equation to find this is: \(A = 4\pi r^2\)
Firstly, we need to convert the diameter to the radius. The diameter is always twice the length of the radius, so the radius must be 4.1ft
Plug this value in:
\(A = 4\pi (4.1)^2\\A = 4\pi(16.81)\\A = 211.24\)
Sales tax is 7.25%. If Liz buys the game system for $245.65, how much will Liz spend altogether?
Unmute your mic and "meow" to show that you need to round to the nearest cent.
Answers
the readability of a balance is the smallest increment that can be read on that balance. what is the readability of a double-pan torsion balance (in milligrams)
Answers
The readability of a double-pan torsion balance is typically very small, usually in the range of a few milligrams (mg). This is because the double-pan torsion balance is a highly sensitive instrument used to measure very small masses.
The readability of a double-pan torsion balance is determined by the sensitivity of the torsion spring which is used to measure the mass on the scale pans. The higher the sensitivity of the torsion spring, the higher the readability of the double-pan torsion balance. The readability of a double-pan torsion balance is typically in the range of 0.1 to 0.5 mg.
This allows the balance to measure very small increments with a high degree of accuracy and precision. The readability of a double-pan torsion balance is critical for accurate measurements of very small masses, such as in the pharmaceutical, chemical and food industries.
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I’m confused on what to do next please help
Answers
Answer:
There are 585 adults and children
Step-by-step explanation:
Let the number of adults be a, number of children be c and the number of seniors be a
Amount made per group;
adults; 52 * a = 52a
Children : 26 * c = 26c
Seniors = 20 * s = 20s
Adding all will give 20,490
52a + 20s + 26c = 20 490 ••••(i)
Now let us work with the ratios;
a : s = 6 : 1
a/s = 6/1
a = 6s •••••(ii)
Lastly;
a/c = 4/9
4c = 9a ••••(ii)
We want to get a + c
From the first equation , let’s substitute
52(6s) + 20s + 26c = 20,490
26c = 6.5 (4c)
but 4c = 9a; 6.5(9a)
But a = 6s
So we have; 6.5(9)(6s) = 351s
so we have;
312s + 351s + 20s = 20,490
683s = 20,490
s = 20490/683
s = 30
Recall;
a = 6s = 6 * 30 = 180
4c = 9a
4c = 9 * 180
c = (9 * 180)/4 = 405
So the total number of children and adult is a + c
405 + 180 = 585
What is an expression equivalent to 6 - 4(3 - 6m) + 12m that is the product of two factors.
Answers
Answer:
36m-6
If im wrong im sorry
determine whether the set, together with the indicated operations, is a vector space. if it is not, then identify one of the vector space axioms that fails. the set of all 2 × 2 matrices of the form
Answers
The set of all 2x2 matrices of the given form is a vector space since it satisfies the closure axiom, among other vector space axioms.
To determine if the set of all 2x2 matrices of the form
{{a, b},
{0, 0}}
forms a vector space, we need to verify if it satisfies the vector space axioms. One of the vector space axioms is the closure axiom, which states that for any vectors u and v in the set, the sum u + v is also in the set.
Let's consider two matrices in the set:
A = {{a, b},
{0, 0}}
B = {{c, d},
{0, 0}}
Now, let's calculate their sum:
A + B = {{a + c, b + d},
{0, 0}}
As we can see, the sum of A and B is a matrix of the same form:
{{a + c, b + d},
{0, 0}}
This means that the closure axiom is satisfied, and the set of all 2x2 matrices of the given form is indeed a vector space. Therefore, the set forms a vector space.
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The height and weight of adults can be related by the equation y=48.3x−127 where x is height in feet and y is weight in pounds.
What does the slope of the line represent?
A. the average number of pounds per foot tall
B. the number of pounds heavier an adult one foot taller would weigh
C. the height of an adult weighing zero pounds
D. the number of adults in the sample
Answers
we conclude that the correct option is A, the slope is:
"the average number of pounds per foot tall"
What does the slope of the line represent?The linear equation:
y = 48.3*x - 127
Relates the height, x, and the weight, y of an adult.
Then the slope, which is 48.3, should have units of mass over height.
Now, if x is in feet and y is in pounds, then the slope has units of pounds/feet.
Then it represents the mean number of pounds per feet. So we conclude that the correct option is A:
"the average number of pounds per foot tall"
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please help me on this question!!
i'll mark you're answer as brainlist!!
Answers
Answer:
The tax is $32375.
Step-by-step explanation:
1/2 of 35,000 is 17,500.
1/8 of 35,000 is 4375.
1/5 of 35,000 is 7000.
1/10 of 35,000 is 3500.
17500 + 4375 + 7000 + 3500 = 32375.
Therefore, the grocery store pays $32,375 in taxes.
Which property is illustrated?
x=y so 4x=4y
A) Associative property of multiplication
B) Distributive property of equality
C) Symmetric property of equality
D) Multiplication property of equality
E) Commutative property of multiplication
Answers
Answer: Commutative Property of multiplication
Step-by-step explanation:
The property illustrated in the given statement "x=y so 4x=4y" is: Multiplication property of equality. Correct option is D.
The Multiplication Property of Equality states that if you have an equation, and you multiply both sides of the equation by the same non-zero number, the resulting equation remains true.
In the given statement "x=y," it means that x and y are equal. Now, if you multiply both sides of this equation by the non-zero number 4, you get:
4x = 4y
The relationship between x and y hasn't changed because you're multiplying both sides of the equation by the same number (4). This is a direct application of the Multiplication Property of Equality. It maintains the equality between the quantities involved.
So, the statement "x=y so 4x=4y" illustrates the Multiplication Property of Equality because it shows that if two quantities are equal (x=y), then multiplying both sides by the same non-zero number (4) preserves that equality (4x=4y).
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What are the intercepts of the line with an quation of 2x - 3y= 30
Answers
Answer: (15,0) and (0,-10)
Step-by-step explanation:
y-intercept
set x=0, then solve for y
-3y=30
y= -10
x-intercept
set y=0, then solve for x
2x=30
x= 15
HELP AND QUICKK!!!!
Jada is going to the county fair and and would like to go on as many rides as she can. The entry fee to get into the fair is $8 and rides cost $2.50 each. If Jada spent $28 at the fair, how many rides did she go on?
A. Write an equation for this word problem.
B. Solve the equation.
C. Answer the question with a complete sentence in context.
Answers
Answer:
A) 8+2.50x=28
B) 8 rides
C) Jada can go on 8 rides before she has spent all of her money
Step-by-step explanation:
subtract the $8 fee from 28 and get 20, then divide 20 by how much each ride costs (2.50) and get 8 :)
Answer:
She went on 8 rides
Step-by-step explanation:
28-8=20÷2.50=8
Use square roots to solve the equation over the complex numbers.
x²=(-1)2
Answers
Answer:
\sqrt(2,)\sqrt(-2) *just imagine the squareroot signs
Step-by-step explanation:
marking brainliest!!!
Answers
Answer:
its a right angle!
Step-by-step explanation:
<ABC is a complementary angle.
Translate the phrase into a numerical expression. One hundred divided by the quantity three times five StartFraction 100 over (3) (5) EndFraction StartFraction (3) (5) over 100 EndFraction StartFraction (100) (3) over 5 EndFraction StartFraction (100) (5) over 3 EndFraction
Answers
Answer:
StartFraction 100 over (3) (5) EndFraction = 100/(3)(5)
Step-by-step explanation:
Translate the phrase into a numerical expression. One hundred divided by the quantity three times five
From the question above:
The quantity three times five = (3)(5)
Hence, the phrase: One hundred divided by the quantity three times five is expressed mathematically as:
100÷ (3)(5)
= 100/(3)(5)
= StartFraction 100 over (3) (5) EndFraction
Answer:
a
Step-by-step explanation:
Triangle QRS is similar to triangle TUV. Find the measure of side TU. Figures are not
drawn to scale.
15
o
R
2.5
10
T
U
Answers
Answer:
TU=12.5
Step-by-step explanation:
2/10=2.5/x
cross multiply
2x=25
x=25/2
x=12.5
Answer:
2/10 = 2.5/TU
1/5 = 2.5/TU
TU/5 = 2.5, so TU = 12.5
the volume of a cylinder is 980 pi cubic inches. the height of the cylinder is 20 inches. what is the radius of the cylinder?
Answers
The radius of the cylinder is 7 inches.
To find the radius of the cylinder, we can use the formula for the volume of a cylinder:
\(\[ V = \pi r^2 h \]\)
where V is the volume, r is the radius, and h is the height.
In this case, we are given that the volume of the cylinder is 980π cubic inches and the height is 20 inches. Plugging in these values into the formula, we get:
\(\[ 980\pi = \pi r^2 \cdot 20 \]\)
Simplifying the equation, we can divide both sides by π:
\(\[ 980 = 20r^2 \]\)
Dividing both sides by 20 gives us:
\(\[ 49 = r^2 \]\)
To solve for r, we take the square root of both sides:
\(\[ r = \sqrt{49} = 7 \]\)
Therefore, the radius of the cylinder is 7 inches.
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May i get some help Fast please
Mr. Fernandez deposits $60,000 into an account that pays 2.5% annual interest compounded quarterly. What will be the balance after 20 years? Round to the nearest cent
Answers
:Answer: $90000
i = prt (interest = principle x rate x time)
i = 60000 x 0.025 x 20
i = $30000 interest
b = p + i (balance = principle + interest)
b = 60000 + 30000
b = $90000 balance
CORRECT ANSWER GETS BRAINLIEST
Answers
Answer:
Plug in the 12 into the x's and find the ordered pair
Step-by-step explanation:
test the null hypothesis: h0:(μ1−μ2)=0 versus the alternative hypothesis: ha:(μ1−μ2)≠0. using α=0.04, give the following: The test statistic Z ____
Answers
since the population standard deviations (σ1 and σ2) are not provided, we cannot calculate the exact test statistic Z.
To test the null hypothesis H0: (μ1 - μ2) = 0 versus the alternative hypothesis Ha: (μ1 - μ2) ≠ 0, we can use a two-sample z-test. The test statistic is calculated as:
Z = (x bar1 - x bar2) / sqrt((σ1^2 / n1) + (σ2^2 / n2))
Where:
X bar1 and x bar2 are the sample means of the two groups,
σ1 and σ2 are the population standard deviations of the two groups,
n1 and n2 are the sample sizes of the two groups.
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Evaluate the expression. |18 – 4| 22 14 –14 –22
Answers
Work Shown:
|18-4|
|14|
14
You subtract 18-4 to get 14. Applying absolute value on a positive number leads to the same result.
Answer:
14
Step-by-step explanation:
|18 – 4|
First find the value inside the absolute value bars
18-4 is 14
|14|
Then take the non negative value
14
∫(0 to 4) 1/(sqrtx(1+sqrtx)) dx is
A ln 3
B ln 5
C 2 ln 3
D divergent
Answers
The integral ∫(0 to 4) 1/(sqrt(x)(1+sqrt(x))) dx is equal to 2 ln(3), which corresponds to option C.
How to find whether integral is divergent or convergent?To determine whether the integral ∫(0 to 4) 1/(sqrt(x)(1+sqrt(x))) dx is divergent or convergent, and find its value, follow these steps:
Step 1: Make a substitution
Let u = sqrt(x), so x = u^2 and dx = 2u du.
The integral now becomes:
∫(0 to 2) 1/(u(1+u)) * 2u du
Step 2: Simplify the integral
The integral simplifies to:
∫(0 to 2) 2/(1+u) du
Step 3: Integrate the function
Integrate the simplified function with respect to u:
∫(0 to 2) 2/(1+u) du = 2 ∫(0 to 2) 1/(1+u) du = 2[ln(1+u)](0 to 2)
Step 4: Evaluate the definite integral
Evaluate the definite integral using the limits:
2[ln(1+2) - ln(1+0)] = 2[ln(3) - ln(1)] = 2(ln(3) - 0) = 2 ln(3)
So, the integral ∫(0 to 4) 1/(sqrt(x)(1+sqrt(x))) dx is equal to 2 ln(3), which corresponds to option C.
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The perimeter of a sports complex, which is square in shape is 432 meters. Find the side of the sports complex.
Answers
The side of the square sports complex is 108 meters.
To find the length of the side of the square sports complex, we start by denoting it as "s" (in meters). The perimeter of a square is the sum of all its sides. Since a square has four equal sides, we multiply the length of one side by 4 to calculate the perimeter.
In this case, the perimeter is given as 432 meters. We can set up the equation 4s = 432, where 4s represents the total length of all four sides of the square. By solving this equation, we can determine the value of "s" which represents the side length of the square sports complex.
In the given scenario, when we solve the equation, we find that the side length "s" is equal to 108 meters. Therefore, the side of the square sports complex is 108 meters.
To find the side length, we need to isolate "s" in the equation. We divide both sides of the equation by 4:
\(s = \frac{432}{4}\)
s = 108
Therefore, the side of the square sports complex is 108 meters.
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