dmitry suspected that his friend is using a weighted die for board games. to test his theory, he wants to see whether the proportion of odd numbers is different from 50%. he rolled the die 40 times and got an odd number 14 times. dmitry conducts a one-proportion hypothesis test at the 5% significance level, to test whether the true proportion of odds is different from 50%. (a) which answer choice shows the correct null and alternative hypotheses for this test?
Answers
The correct null and alternative hypotheses for this test H0 :p=0.50 and H1:p ≠ 0.50
What is Null and alternative Hypothesis?
In statistical hypothesis testing, null and alternate hypotheses are utilised. The alternative hypothesis of a test expresses your research's prediction of an effect or relationship, whereas the null hypothesis of a test always predicts no effect or no association between variables.
Let p denotes the true proportion of odds
To test null hypothesis H₀ :P = 0.50 against alternative hypothesis H₁:p ≠ 0.50
let p denotes the sample proportion and n denotes the sample size
here,
p = 14/40
= 0.350
n=40, p₀ = 0.500,
= standard error of proportion under null 0.50 * ( 1 -0.50) /40
= 0.079057
The test statistic can be given as :
z = \(\frac{(p - p_{0)} }{\sqrt{p_{0} * ( 1-p_{0}/n } }\)
which under H₀ follow a standard normal distribution
we reject H₀ t 0.05 level of significance if P- value <0.05 or if |Zobs| > z0.025
Now,
The value of the test statistic = -1.897367
The critical value = ±1.959964
P-value = P(|z|>Zobs) = 2*P(Z < - 1.897367)
= 2 * 0.028890
= 0.057780≈ 0.0578
Since p-value > 0.05 and |Zobs| ≠zcritical = 1.959964
so we fail to reject H₀ at 0.05 level of siginficance
The population proportion is consequently not substantially different from 0.05, we can conclude.
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Related Questions
A restaurant has 30 tables in its dining room. It takes a waiter 10 minutes to set 8 tables. At this rate, how long will it take the waiter to set all the tables in the dining room?
Answers
Answer:
37.5
Step-by-step explanation:
First you divide 10 divided by 8 to see how much time it takes to set one table. I got 1.25 then I multiplied it with 30 and got the answer of 37.5.
Find m∠E
*geometry problem*
Answers
when you solve that out you get x =9
then you plug in x everywhere in the chart
3(9)=27
9(9)-5=76
180-76-27= 77°
angle E =77°
please mark brainiest if you can
Jim opens a savings account with $22,500. his account pays 3.5% interest compounded daily. at the end of 5.5 years, jim closes the account. how much interest does he earn? what is the total value of his account when he closes it?
Answers
$27,186.57
Step-by-step explanation:
Formula: starting cost(interest • 1)^time
First, we need to calculate the interest which in this case it would be 1.035(1+(3.5/100)) since it is increasing 3.5% each year. Then we can just plug the values into the formula to get:
22,500(1.035•1)^5.5 = 27,186.57
There are 80 cabins on a ship. 29 of the cabins have windows. a) What fraction of the cabins have windows? Give your answer in its simplest form. b) Write your answer to part a) as a decimal.
Answers
The fraction of the cabins that have windows is 29 / 80.
What are fractions?In mathematics, a fraction is represented by a number that identifies a portion of a whole. A fraction is a portion or section taken from a whole, which can be any number, a certain amount, or an object.
Given that there are 80 cabins on a ship. 29 of the cabins have windows. The ratios of the cabins that have windows will be calculated below.
Fraction = ( Number of windows) / ( Number of the cabins)
Fraction = 29 / 80
Hence, the proportion of cabins with windows is 29/80.
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Pete found 5/6 of a party sand which in the refrigerator. He took 1/2 of the 5/6 of the sand which to his neighbors. How much of the original sand which did pete take to his neighbors.
Answers
Answer:
1/2
Step-by-step explanation:
Pete found 5/6 of a party sand which in the refrigerator. He took 1/2 of the 5/6 of the sand which to his neighbors.
This is calculated as:
1/2 × 5/6
= 5/12
Hence, he took 5/12 of the sand
How much of the original sand which did pete take to his neighbors.
Let the original sand be represented as 1
Hence:
5/6 = 5/12 sand
1 = x
Cross Multiply
5/6x = 1 × 5/12
x = 5/12 ÷ 5/6
x = 5/12 × 6/5
x = 1/2
Therefore, pete took 1/2 of the original sand to his neighbors.
angle y and angle x form vertical angles. Angle y forms a straight line with the 60° angle and the 70° angle.
solve an equation to determine the measure of angle x.
Answers
Applying the sum of angles on a straight line, we have:
Equation = x + 70 + 60 = 180
Measure of x = 50°.
What is angle ?In geometry, an angle is formed when two rays are joined at their endpoints. These rays are called the sides or arms of the angle.
A straight line angle equals 180 degrees.
Therefore, the sum of all the angles on a straight line = 180 degrees.
Thus, the equation to solve for x would be:
x + 70 + 60 = 180
Solving for x
x + 130 = 180
x = 180 - 130
x = 50°
Hence, 50° is the measure of angle x.
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7.) Find the center and radius of a circle with the equation (x − 4)² + (y − 2)² = 100.
Answers
Answer:
Centre is (4,2) and radius is 10
Step-by-step explanation:
The circle equation is of form,
=> (x - a)² + (y - b)² = r²
where the centre is (a,b) and radius is 'r'.
Uncle Zachary's farm has costs and revenue as seen in the graph. What is Uncle Zachary's profit-maximizing output? 8 Marginal cost profit-maximizing output: Price (marginal revenue) Average total cost Price What price will Uncle Zachary receive per unit at the profit-maximizing level of output? 2 0 $ Quantity Assuming that he maximizes his profit, how much profit will Uncle Zachary earn?
Answers
Uncle Zachary's profit-maximizing output is 8 units.
To determine the profit-maximizing output level, we need to consider the intersection of marginal cost (MC) and marginal revenue (MR). At the quantity where MC equals MR, the firm maximizes its profit.
In the given graph, the marginal cost curve intersects the marginal revenue curve at a quantity of 8 units. This means that producing 8 units of output would result in the highest profit for Uncle Zachary's farm.
At the profit-maximizing level of output, Uncle Zachary will receive a price of $2 per unit. This can be determined by looking at the corresponding point on the average total cost curve, where the price intersects with the ATC curve.
Assuming Uncle Zachary maximizes his profit, we can calculate the profit by subtracting the total cost from the total revenue. However, since the graph provided does not include specific values for costs and revenues, we cannot determine the exact profit amount.
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Two balls are dropped from a height of 5 m. Ball A bounces up to a height of 4 m whereas ball B bounces up to 2 m. Which ball experiences the larger impulse during its collision with the floor? A) ball A B) ball B C) They both experience the same impulse. D) It is impossible to tell without knowing the masses of the balls. E) It is impossible to tell without knowing the durations of the collisions
Answers
Two balls are dropped from a height of 5 m. Ball A bounces up to a height of 4 m whereas ball B bounces up to 2 m. They both experience the same impulse.
The impulse experienced by an object during a collision is given by the change in momentum of the object. Momentum is defined as the product of mass and velocity.
In this scenario, we are not given the masses or the durations of the collisions. However, we can make some assumptions to determine which ball experiences the larger impulse.
Assuming that the balls have the same mass, we can compare their velocities before and after the collision with the floor. Both balls start with the same initial velocity (downward) and experience the same change in velocity (upward) after the bounce. Therefore, the change in momentum and the impulse experienced by both balls should be the same.
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hey ok i need help on this question ive been stuck on it for a couple minutes haha
Answers
Answer:
The side s has a length of 4 and side q has a length of 4\(\sqrt{3}\) ⇒ F
Step-by-step explanation:
In the 30°-60°-90° triangle, there is a ratio between its sides
side opp (30°) : side opp (60°) : hypotenuse
1 : \(\sqrt{3}\) : 2
In the given triangle
∵ The side opposite to 30° is s
∵ The side opposite to 60° is q
∵ The hypotenuse is 8
→ Use the ratio above to find the lengths of s and q
side opp (30°) : side opp (60°) : hypotenuse
1 : \(\sqrt{3}\) : 2
s : q : 8
→ By using cross multiplication
∵ s × 2 = 1 × 8
∴ 2s = 8
→ Divide both sides by 2
∴ s = 4
∴ The length of s is 4
∵ q × 2 = \(\sqrt{3}\) × 8
∴ 2q = 8\(\sqrt{3}\)
→ Divide both sides by 2
∴ q = 4\(\sqrt{3}\)
∴ The length of q is 4\(\sqrt{3}\)
A scientist planted seeds in 4 sections of soil for an experiment. Not all of the
seeds grew into plants. After 20 days, the scientist counted the number of
plants in each of the 4 sections. The results are shown in the table.
• Use the data in the table to determine approximately how many plants
grew per square foot.
• Explain or show how you determined your approximation.
• Let y be the number of plants expected to grow in x square feet. Write an
equation the scientist could use to model the relationship between y and x.
Answers
32
Step-by-step explanation:
32
Answer:
the answer is 1/5 x as a approximate equation
Step-by-step explanation:
21x + 862=? x= 4 I know how to do it but im too lazy to do it
Answers
946
Hope this helps o(*^▽^*)┛
Simplify for me please
Answers
it would equal about 2.19^10 just as the original equation
hope this helps:))
Cambridge IGCSE Additional Mathematics O606 Paper 11 Q5,6.J
The normal to the curvey = x³ + 6x² -34x+44 at the point P(2, 8) cuts the x-axis at A and
the yaxis at B. Show that the mid-point of the line AB lies on the line 4y= x +9.
Cambridge IGCSE Additional Mathematics 0606 Paper 21 Q6 Nov 2012
[8]
SE CAMSTEUE
SITY PRESS
21
Answers
The midpoint of the line AB lies on the line 4y= x +9 is (-6, 248)
What are the coordinates of midpoint of the line segment AB?Midpoint, as the word suggests, means the point which lies in the middle of something. Midpoint of a line segment means a point which lies in the mid of the given line segment.
Let we've two endpoints of a line segment as A(p,q), and B(m,n)
Then let the midpoint be M(x,y) on that line segment. Then, its coordinates are:
\(x = \dfrac{p+m}{2}\\y = \dfrac{q+n}{2}\)
We are given that the normal to the curvey = x³ + 6x² -34x+44 at the point P(2, 8) cuts the x-axis at A and the yaxis at B.
y = x³ + 6x² -34x+44
dy/ dx = 3x² + 12x -34
Then the equation is
(y - 4) = -34(x - 0)
y + 34x = 44
So, -34x + 44 = x³ + 6x² -34x+44
x = 0
x = -6
Also, we d² y/ dx gives us 248
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a hexadecimal number is a number written in the base 16 number system.
t
f
Answers
True. Hexadecimal numbers are written using the base 16 number system, where digits range from 0 to 9 and A to F. They are commonly used in computer systems for concise representation and easy conversion to binary.
In the hexadecimal number system, there are 16 symbols used to represent values, namely 0-9 and A-F. Each digit in a hexadecimal number represents a multiple of a power of 16.
The symbols 0-9 represent the values 0-9, respectively. The symbols A-F represent the values 10-15, respectively, where A represents 10, B represents 11, C represents 12, D represents 13, E represents 14, and F represents 15.
For example, the hexadecimal number "3F" represents the value (3 * 16^1) + (15 * 16^0) = 48 + 15 = 63 in decimal.
Similarly, the hexadecimal number "AB8" represents the value (10 * 16^2) + (11 * 16^1) + (8 * 16^0) = 2560 + 176 + 8 = 2744 in decimal.
Hexadecimal numbers are commonly used in computer systems, as they provide a convenient way to represent large binary numbers concisely. Each hexadecimal digit corresponds to a four-bit binary number, allowing for easy conversion between binary and hexadecimal representations.
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if you have four cards and were to bet based upon suits while flipping them one at a time while trying to minimize variance, how would you do it?
Answers
The steps which can help in minimizing the variance in the four cards are correct selection of the suit with maximum number of cards.
How to minimize variance?If you have four cards and were to bet based upon suits while flipping them one at a time while trying to minimize variance, you should follow the below steps:
First, you need to check the suits of the four cards you have.
Now, you need to select the suit that has a maximum number of cards. For instance, if the four cards are 5 of hearts, 7 of spades, 2 of diamonds, and 10 of hearts, you need to select hearts as it has two cards.
After selecting the suit with the maximum number of cards, you need to start flipping the cards one at a time.
Keep a count of the number of times you get the chosen suit. For instance, if you chose hearts, you will count the number of times you get hearts after flipping each card.
Once you get the chosen suit, you can place your bet. The amount of your bet can depend on the number of times you have gotten the chosen suit so far.
So, this process doesn't guarantee that you will win every time.
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A tornado is located between city hall and a cell phone tower and is heading towards the cell phone tower. By what angle does the tornado’s direction need to change so that it passes over the radar station instead?
Answers
Answer:
the amount of angle the hall is so prob like 5
Step-by-step explanation:
you provided insufficient details to answer
Answer: 30 degrees
Step-by-step explanation:
2 interior angles of 75 degrees.
75+75=150.
180-150=30
What is the forecast for May using a five-month moving average?(Round answer to the nearest whole number.) Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47
A. 43 B. 47 C. 52 D. 38 E. 39
Answers
The forecast for May using a five-month moving average is 39 (Option E).
Moving average is used for smoothing out time series data to find any trends or cycles within the data. A five-month moving average is the average of the past five months. To calculate the moving average, add up the sales for the previous five months and divide it by five.
According to the question, the sales for the previous five months are: Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47
We have to add the sales of these five months, which gives:
27 + 40 + 42 + 41 + 47 = 197
To find the moving average for May, we divide this sum by 5:
197 / 5 = 39.4
Since we have to round the answer to the nearest whole number, we round 39.4 to 39, which is option E.
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(1 point) the linearized state equations for this system (derived in homework 3.6 b), assuming m = 0.025 kg, r = 0.5 ω, l0 = 0.0005 h, and y0 = 0.001 m are:
{Δx1 Δx2 Δx3} = [0 1783.6 0] {Δx1 Δx2 Δx3} + [ 0 0 1010] Δu
1 0 0
0 -1800.8 - 1010 determine the open-loop pole locations, and plot them in the s-plane. comment on stability.
Answers
a. The open-loop pole locations is at -1776.2 and a complex conjugate pair located at -32.3108 ± 63.2667i.
b. The pole located at -1776.2 is in the left half of the s-plane and is far from the imaginary axis. The other two poles are a complex conjugate pair located near the imaginary axis.
c. The system is stable and will converge to the steady-state for any initial state.
From the given linearized state equations for the system, we can write the state-space model in the following form:
ẋ = Ax + Bu
where
x = [Δx1, Δx2, Δx3]^T
u = Δu
A = [0 1783.6 0
0 -1800.8 -1010
1 0 0]
B = [0
0
1010]
a. To determine the open-loop pole locations, we can find the eigenvalues of matrix A, which are the roots of the characteristic equation:
det(sI - A) = 0
where I is the 3x3 identity matrix. Solving for det(sI - A), we get:
s³ + 1800.8s^2 + 1010s = 0
Using a numerical solver or factoring, we can find the roots of this equation to be:
s1 = -1776.2
s2 = -32.3108 + 63.2667i
s3 = -32.3108 - 63.2667i
Therefore, the open-loop pole locations are -1776.2 and a complex conjugate pair located at -32.3108 ± 63.2667i.
b. To plot these poles in the s-plane, we can use a complex plane where the horizontal axis represents the real part of the poles and the vertical axis represents the imaginary part.
The pole located at -1776.2 is in the left half of the s-plane and is far from the imaginary axis. Therefore, this pole contributes to the dominant behavior of the system, and it is responsible for the fast dynamics of the system.
The other two poles are a complex conjugate pair located near the imaginary axis. These poles contribute to the oscillatory behavior of the system, and they are responsible for the slower dynamics of the system.
c. Since all poles have negative real parts, the system is stable. The dominant pole located at -1776.2 contributes to the fast decay of any initial state, while the complex conjugate poles contribute to oscillations that decay over time. Overall, the system is stable and will converge to the steady-state for any initial state.
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suppose a certain combination lock requires three selections of numbers, each from 1 through 25. (a) how many different combinations are possible? (b) suppose the locks are constructed in such a way that no number may be used twice. how many different combinations are possible?
Answers
The number of combination possible = 15625
When the numbers are repeating
The number of possible combinations = 13800
Given that a certain combination lock requires three selections of numbers
Total possible numbers = 25
Part a
Total number of combinations possible = 25 × 25 × 25
Multiply the numbers
= 15625 possible combinations
Part b
The given condition is no number may be used twice
Total number of combinations possible = 25 × 24 × 23
Multiply the numbers
= 13800 possible combinations
Therefore, when the number are repeating, the possible combinations are 15625 and when the numbers are not repeating the possible combinations are 13800
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a teacher of saba school wants to estimate the distance students travel to school. the sample mean and population standard deviation are found to be 8 km and 2.25 km, respectively. how large a sample should be selected to be 99% confident that the sample mean differs from the population mean by /- 0.5 km (e) only?
Answers
The sample size should be selected as 100 in order to be 99% confident that the sample mean differs from the population mean by ±0.5 km (or within a range of 0.5 km).
To determine the sample size needed to estimate the distance students travel to school with a 99% confidence level and a margin of error of ±0.5 km, we can use the formula for sample size calculation:
n = (Z * σ / E)^2
where:
n = required sample size
Z = Z-score corresponding to the desired confidence level (in this case, 99% confidence level, which corresponds to Z = 2.576)
σ = population standard deviation
E = margin of error
Plugging in the given values:
n = (2.576 * 2.25 / 0.5)^2
Calculating this equation gives us the required sample size:
n ≈ 99.98
Since we cannot have a fractional sample size, we round up to the nearest whole number.
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Lisa added 4 7 15 and 5 2 5 to get a sum of 10 2
Answers
Step-by-step explanation:
n v r good morning to you and your family too
Answer:
Step-by-step explanation:
A
If Tammy has 5 credit cards that are all maxed out, a bank could deny her a loan to buy a house based on her __________.
Answers
Answer:
access to credit I think
Step-by-step explanation:
I don't know the options but if all her cards are maxed out, she must have horrible credit.
The bank can deny Tammy a loan to buy a house based on her access to credit.
Given that:
Tammy has 5 credit cards.
All of the 5 credit cards are maxed out, which means that all the credit cards have reached the limit of the card and the payment has to be fully paid at the earliest.
The credit scores of one person will be affected when the credit limits are reached and the payment has not been done.
For financial services like loans, credit limits are all important.
So, the bank can deny the service based on the access to credit.
Hence the correct option is A.
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The complete question is:
If Tammy has 5 credit cards that are all maxed out, a bank could deny her a loan to buy a house based on her __________.
A) Access to credit
B) Education history
C) Employment history
D) Delinquent payments
Can 3,8,15 make a triangle
Answers
Answer is NO!
hope this helps! Have an amazing and blessed day! :)
Answer: yes
Step-by-step explanation:
5x-2(0.1x - 1) = 7.2-4.4(-x-6)
Answers
Answer:
54
Step-by-step explanation:
If you start by distributing the parentheses, you will end up with this equation:
5x - 0.2x + 2 = 7.2 + 4.4x + 26.4
After that, you can subtract the right side from both sides to combine like terms. It should end up like this:
5x - 0.2x + 2 - 7.2 - 4.4x - 26.4 = 0
Once you combine the like terms it will end up like this:
0.4x - 21.6 = 0
Now, you should add 21.6 to both sides to separate the terms:
0.4x = 21.6
From here, you should divide both sides by the coefficient of x (0.4) to get your answer:
x = 54
(This is coming from a 13-year-old so consider that during your choice of most brainly)
a box contains 4 red balls, 4 blue balls and 4 white balls. i extract 6 balls at once. what are the number of arrangements of 6 balls with 2 red balls and 2 blue balls ?
Answers
The number of arrangements of 6 balls with 2 red balls and 2 blue balls, we need to consider the number of ways to choose 2 red balls from the 4 available red balls and the number of ways to choose 2 blue balls from the 4 available blue balls.
These are both combinations, and we can use the formula for combinations to calculate them:
C(n, k) = n! / (k! (n-k)!).
For the red balls, C(4, 2) = 4! / (2! (4-2)!) = 6.
For the blue balls, C(4, 2) = 4! / (2! (4-2)!) = 6.
The total number of arrangements of 6 balls with 2 red balls and 2 blue balls is the product of the number of arrangements for each type of ball:
C(4, 2) * C(4, 2) = 6 * 6 = 36
So, there are 36 arrangements of 6 balls with 2 red balls and 2 blue balls.
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An exponential function is a type of geometric sequence.
True or False
Answers
Answer: True
Step-by-step explanation:
I hope this helps!!!
Determine all subgroups of R* (nonzero reals under multiplication) of index 2.
Answers
Therefore, the other coset is made up of all negative real numbers.The two cosets are:{1, -1} and {x:x in R* and x < 0}Therefore, the subgroups of R* of index 2 are {1, -1} and {x: x in R* and x < 0}.
A subgroup is said to have index 2 if its cosets are only two in number. Cosets can be defined as a set of elements that can be gotten from a subgroup by translating it by another element of the group. We need to determine all subgroups of R* (nonzero reals under multiplication) of index 2.Finding the subgroupsThe subgroup of R* can be defined as the set of all reals of the form {1, -1}. The subgroup of {1, -1} in R* is generated by {-1, 1}. Let's prove this now.Suppose x is any element in R*. Then we can split the group R* into two disjoint sets: {x: x in R* and x^2 > 0}, which contains positive reals, and {-x: x in R* and x^2 < 0}, which contains negative reals.Since we know that {-1, 1} is the only subgroup of index 2, the only other option we have is that the other coset is R*-{-1, 1}={x:-x in R* and x^2<0}={x: x in R* and x < 0}. Therefore, the other coset is made up of all negative real numbers.The two cosets are:{1, -1} and {x:x in R* and x < 0}Therefore, the subgroups of R* of index 2 are {1, -1} and {x: x in R* and x < 0}.
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83 is 100% of what number
Answers
Answer:
83
Step-by-step explanation:
100% is the total, the whole
Answer:
83
Step-by-step explanation:
You have 100%
change that to a decimal
you now have 1.00
multiply 83 by 1
you have 83
Consider the following differential equation:
¨y(t)+12˙y(t)+32y(t)=32u(t)
Taking u(t) as the input and y(t) as the output, do the following:
(a) Derive the expression for Y(s) assuming non zero initial conditions.
(b) Assume zero initial conditions, and determine the transfer function T(s) =Y(s)/U(s)
(c) Use partial fraction expansion and the inverse Laplace transform to derive the impulse response of this system
(d) Use the Routh table to determine if this system is stable. Discuss the relationship between the impulse response and BIBO stability of the system.
Answers
(a) The expression for Y(s) with non-zero initial conditions is given by:
Y(s) = 32/((s + 12)(s+32)) + y_0(s + 12)(s+32) Where, y_0 = y(t = 0)
(b) With zero initial conditions, the transfer function T(s) = Y(s)/U(s) is given by: T(s) = 32/((s + 12)(s+32))
(c) The impulse response of the system is given by the inverse Laplace transform of the transfer function: h(t) = 32(e^(-12t)-e^(-32t))
(d) The Routh table can be used to determine the BIBO stability of the system. If all of the entries in the Routh table are positive, then the system is BIBO stable. The impulse response of the system is related to its BIBO stability in that a BIBO stable system must have an impulse response that decays to zero as time increases. If the impulse response does not decay to zero, then the system is not BIBO stable.
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