The categories being mutually exclusive and independent observations. Violation of these assumptions may affect the validity of the test results.
To run a chi-square goodness-of-fit test with only one variable available, you can compare the observed frequencies of different categories with the expected frequencies under a specified distribution or hypothesis.
Here are the steps to conduct a chi-square goodness-of-fit test with one variable:
1. Define your null hypothesis (H₀) and alternative hypothesis (H₁). The null hypothesis typically states that the observed data follows a specific distribution or expected frequencies.
2. Determine the expected frequencies for each category under the null hypothesis. If you have a specific distribution in mind, such as a uniform distribution or a normal distribution, you can use the expected frequencies based on that distribution. If not, you can use the proportion of each category in the sample as the expected frequency.
3. Collect your observed data. This should consist of the frequencies or counts for each category in your single variable.
4. Calculate the chi-square test statistic. The chi-square test statistic measures the discrepancy between the observed and expected frequencies. It is calculated using the formula:
χ² = Σ((O - E)² / E)
where O is the observed frequency and E is the expected frequency for each category.
5. Determine the degrees of freedom (df) for the test. For a chi-square goodness-of-fit test with one variable, the degrees of freedom is equal to the number of categories minus 1.
6. Look up the critical value from the chi-square distribution table using the significance level (α) and the degrees of freedom. This critical value determines the threshold for rejecting the null hypothesis.
7. Compare the calculated chi-square test statistic with the critical value. If the calculated chi-square test statistic is greater than the critical value, you reject the null hypothesis. If it is less than or equal to the critical value, you fail to reject the null hypothesis.
8. Calculate the p-value associated with the chi-square test statistic. The p-value represents the probability of obtaining the observed data or more extreme results, assuming the null hypothesis is true. You can use a chi-square distribution table or statistical software to calculate the p-value.
9. Make a decision based on the p-value. If the p-value is less than the chosen significance level (α), typically 0.05, you reject the null hypothesis. If the p-value is greater than or equal to α, you fail to reject the null hypothesis.
Remember that the chi-square goodness-of-fit test assumes certain assumptions, such as the categories being mutually exclusive and independent observations. Violation of these assumptions may affect the validity of the test results.
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Roberto rode his bicycle for a local bike-a-thon. The bike-a-thon started at 9:00 A.M. and ended at 4:00 P.M. By 10:00 A.M., Roberto had ridden 16 miles. Except for a one-hour lunch break, Roberto rode at the same pace until 4:00 P.M.
How many miles did Roberto ride in the bike-a-thon?
whats the answer i need help
A paper box is 12.3cm , 7.5cm wide and 8 cm high. calculate the volume of the box
Answer:
738cm^3
Step-by-step explanation:
You just multiply everything together
12.3 * 7.5 * 8 = 738cm^3
hale's one-stop gas and auto service compete with Murray's gas and service mart. the local demand is given by P=2.5-0.01Q.
Hale's MC function is MCH: qH=0.35qH
Murray's MC function is MCM: qM=0.3qM
find hale's and Murray's reaction function; then find the Cournot solution. (price and quantities)
The Cournot solution for the price is approximately $2.425, and the quantities produced by Hale and Murray are approximately 3.47 and 4.03, respectively.
To find Hale's and Murray's reaction functions, we need to determine their profit-maximizing quantities given the local demand and their respective marginal cost functions.
Hale's profit function can be expressed as:
πH = (P - MCH) * qH
[tex]= (2.5 - 0.01Q - 0.35qH) * qH\\= 2.5qH - 0.01qH^2 - 0.35qH^2[/tex]
To maximize profits, we take the derivative of πH with respect to qH and set it equal to zero:
dπH/dqH = 2.5 - 0.02qH - 0.7qH
Setting the derivative equal to zero:
2.5 - 0.02qH - 0.7qH = 0
2.5 - 0.72qH = 0
0.72qH = 2.5
qH = 2.5 / 0.72
qH ≈ 3.47
Therefore, Hale's reaction function is qH = 3.47.
Similarly, Murray's profit function can be expressed as:
πM = (P - MCM) * qM
[tex]= (2.5 - 0.01Q - 0.3qM) * qM\\= 2.5qM - 0.01qM^2 - 0.3qM^2[/tex]
To maximize profits, we take the derivative of πM with respect to qM and set it equal to zero:
dπM/dqM = 2.5 - 0.02qM - 0.6qM
Setting the derivative equal to zero:
2.5 - 0.62qM = 0
0.62qM = 2.5
qM = 2.5 / 0.62
qM ≈ 4.03
Therefore, Murray's reaction function is qM = 4.03.
To find the Cournot solution, we substitute the reaction functions into the local demand equation:
Q = qH + qM
Q = 3.47 + 4.03
Q ≈ 7.5
Substituting Q back into the demand equation:
P = 2.5 - 0.01Q
P = 2.5 - 0.01(7.5)
P = 2.5 - 0.075
P ≈ 2.425
The Cournot solution for the price is approximately $2.425, and the quantities produced by Hale and Murray are approximately 3.47 and 4.03, respectively.
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PLease Help!! Brainliest answer! Thank you!
The answer is 135 your welcome
sorry I thought it was to find missing side
PLLLLLZZZ HEEELLLPPP FAST! multiply and simplify if possible -3 2/3 x (-2 1/4)
Answer:
8 1/4x
Step-by-step explanation:
I'm good at math.
find the slope of the line
Answer:
Step-by-step explanation:
When x=0 y=-3.75
When y=0 x=10
help pls....................................
Answer:
Answer 1 is 3712000000
answer 2 is 8.624X10^10
answer 3 is 820
answer 4 is 380
answer 9 is 9200
answer 10 is 400
answer 11 is 8832000000
answer 12 is 1.3104X10^10
3 pts Question 20 Brothers, Boy1 and Boy 2, play the following bargaining game to share a pizza. (The same game as the above) In period 1. Boy 1 proposes his share a₁, which is either 50 or 80 (Only two choices and the numbers are percentage). Then, Boy 2 decides whether to accept the proposal. If Boy 2 accepts the proposal, Boy 1 gets a and Boy 2 gets 100-a₁. The game then ends. If Boy 2 rejects the proposal, a cat can show up and steal the whole pizza. Specifically, with probability q. no cat shows up, and the game proceeds to period 2; whereas, with probability 1-q, a cat steals the whole pizza and the game ends leaving no pizza to the boys. In period 2, Boy 2 proposes his share a2, which is either 50 or 80. Then, Boy 1 decides whether to accept the proposal. - If Boy 1 accepts the proposal, Boy 2 gets a2 and Boy 1 gets 100-a2. The game then ends. If Boy 1 rejects the proposal, their mother eats 40 and gives 30 to each boy. Assume that each boy's payoff is the amount of the pizza he gets, and no player discounts his future payoff. Note: neither a cat nor their mother is a player of the game. In period 2, Boy 2 proposes his to accept the proposal. If Boy 1 accepts the proposal, Boy 2 gets a and Boy 1 gets 100-a2. The game then ends. - If Boy 1 rejects the proposal, their mother eats 40 and gives 30 to each boy. Assume that each boy's payoff is the amount of the pizza he gets, and no player discounts his future payoff. Note: neither a cat nor their mother is a player of the game. Select the correct statement from the below. Boy 1 does not get a lower payoff than Boy 2 in the SPE under any q. Which boy gets strictly higher payoff depends on q. Boy 2 does not get a lower payoff than Boy 1 in the SPE under any q. Both boys get the same payoff in the SPE under any q.
Depending on q, the boy who gets a strictly higher payoff in the SPE is different. The correct statement is: Which boy gets strictly higher payoff depends on q.
First we will find the Subgame Perfect Equilibrium (SPE) of the game.
Subgame 1: Let's find the SPE of the first subgame. Boy 1 proposes a deal.
There are only two possible deals, so we can compute the payoff for each.
If a = 80, Boy 2 will accept, because he gets 20 and Boy 1 gets 80.
If a = 50, Boy 2 will reject, and the game will move on to subgame 2.
For subgame 2, Boy 2 proposes a deal.
There are only two possible deals, so we can compute the payoff for each.
If a = 80, Boy 1 will reject, because he gets 20 and Boy 2 gets 80.
If a = 50, Boy 1 will accept, because he gets 50 and Boy 2 gets 50.
Payoffs of each player for each decision rule:
Now let's analyze the payoffs of the boys in the SPE under any q.
When q < 0.5, there is a high probability that the cat will come and steal the pizza in subgame 1, so Boy 1's best offer is 50.
In subgame 2, Boy 2's best offer is 50, because Boy 1 is indifferent between 50 and 80, but 50 provides a higher expected payoff in case the pizza is stolen.
When q > 0.5, there is a high probability that the game will move on to subgame 2, so Boy 1's best offer in subgame 1 is 80.
In subgame 2, Boy 1's best offer is 50, because Boy 2 is indifferent between 50 and 80, but 50 provides a higher expected payoff in case the pizza is stolen
The correct statement is: Which boy gets strictly higher payoff depends on q.
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What annual interest rate would you need to earn if you wanted a
$600 per month contribution to grow to $45,000 in six years? (Round
your answer to 2 decimal places.)
To calculate the annual interest rate required to earn if you want a $600 per month contribution to grow to $45,000 in six years, we can use the formula for future value of an annuity: FV = PMT x [((1 + r)n - 1) / r]where,FV = future value of an annuityPMT = the payment you will make in each periodr = the interest rate per periodn = the number of periods.
Using the given values, we have:FV = $45,000PMT = $600n = 6 x 12 = 72 (since we are given in months, and there are 12 months in a year)r = ?To solve for r, we can use trial and error or a financial calculator. Here, we will use a financial calculator.
To solve this problem, we will use the formula for future value of an annuity:FV = PMT x [((1 + r)n - 1) / r]where,FV = future value of an annuity PMT = the payment you will make in each periodr = the interest rate per periodn = the number of periods.
We are given:FV = $45,000PMT = $600n = 6 x 12 = 72 (since we are given in months, and there are 12 months in a year)r = ?To solve for r, we can use a financial calculator or trial and error. Here, we will use a financial calculator. We enter the values into the financial calculator and solve for r. We get
:r = 8.81% (rounded to two decimal places)Therefore, the annual interest rate required to earn if you want a $600 per month contribution to grow to $45,000 in six years is approximately 8.81%.
The annual interest rate required to earn if you want a $600 per month contribution to grow to $45,000 in six years is approximately 8.81%.
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Maria and Tom sold candy for a fundraiser. Maria sold seven less than twice the number of candy bars Tim sold maria and Tom sold 137 candy bars. How many did Maria sell?
Answer: 267
Step-by-step explanation: 137 x 2=274
274-7=267
y , add 4, then divide by 9.
W is less than or equal to 5 and greater than or equal to -2
Answer:
than it is any number between -2 and +5
hey can anyone pls answer dis!
Answer:
b
Step-by-step explanation:
usually, data collection in a functional analysis is based on a. duration b. frequency c. momentary time sampling
The correct answer is b. frequency.
Data collection in a functional analysis typically involves recording the frequency of a target behavior. In functional analysis, the focus is on understanding the function or purpose of a behavior, and frequency data helps to identify patterns and determine the relationship between the behavior and environmental events.
During a functional analysis, various conditions are manipulated to assess how they impact the occurrence of the behavior. The frequency of the behavior is typically recorded within each condition to determine if there are differences in its occurrence based on the specific environmental variables being manipulated.
While duration and momentary time sampling are also data collection methods used in behavioral analysis, they are not specifically associated with functional analysis. Duration refers to measuring the length of time a behavior occurs, while momentary time sampling involves recording whether a behavior is occurring or not at specific intervals of time.
In functional analysis, frequency data is typically the primary method for collecting and analyzing data to understand the relationship between behavior and environmental variables.
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Data collection in a functional analysis is usually based on three components: duration, frequency, and momentary time sampling. Duration observes the amount of time a behavior occurs. Frequency measures how often a behavior occurs. Momentary time sampling observes the existence of behavior at specified time intervals.
Explanation:In the context of a functional analysis, typically the data collection methods revolve around three primary types: duration, frequency, and momentary time sampling.
Duration refers to the total amount of time that a behavior happens. It generally is measured from the moment the behavior begins until it ends. It's important when the length of time that the behavior occurs can impact its functionality.
Frequency records how often a behavior occurs within a set observational period. It’s used when the number of times the behavior occurs is the important aspect to measure.
Momentary time sampling is a method of measuring behavior in which the existence or nonexistence of behaviors are recorded at precisely specified time intervals. This process involves observing whether the behavior occurs or does not occur at the moment the interval ends. This method is beneficial as it does not need continuous observation.
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The measures of two complementary angles are represented by (x) and (x +20), what is the number of degrees in the measure of the smaller angle?
1. 35
2. 55
3. 80
4. 100
Angle measure of the smaller angle in two complement angles = x
Angle measure of the bigger angle = x + 20
Their sum = 90° ( the sum of two complementary angles is always equal to 90° )
This can be written in an equation as =
= x + x + 20 = 90
= 2x + 20 = 90
= 2x = 90 - 20 ( transposing +20 from LHS to RHS changes +20 to -20 )
= 2x = 70
= x = 70 ÷ 2 ( transposing ×2 from LHS to RHS changes ×2 to ÷2 )
= x = 35
Then the value of the smaller angle = x = 35°
The value of the bigger angle = x + 20 = 35 + 20 = 55°
Therefore , the measure of degrees in the the smaller angle is :
1. 35°Write an equation for the following word problem.
Tyrone ate 16 hamburgers today, Tyrone's plate had a total of 24 hamburgers on it. How many hamburgers did Tyrone not eat?
Use h for hamburgers Tyrone did not eat.
1) 16 + h = 24
2) 16h = 24
3) h+ 24 = 16
4) h- 16 = 24
Answer:
Option 1 or 16 + h = 24
Step-by-step explanation:
Tyrone ate 16 hamburgers today.
Tyrone had 24 hamburgers.
Hamburger = h.
We want to find how much Tyrone had left so:
h = 24 - 16
OR (we can move 16 to the other side)
h + 16 = 24
Option 1 is the answer
The lifetime of a light bulb is known to have an exponential distribution with mean 200 days. If 2 bulbs with lifetime X and Y are installed, what is the probability that they fail within 10 days of each other. Both X and Y are independent
The lifetime of a light bulb is known to have an exponential distribution with mean 200 days. The formula for the exponential distribution is: f(x) = (1/λ) * e^(-x/λ), where x ≥ 0 and λ > 0 are constants.
Here, the mean is 200 days, so λ = 1/200 = 0.005.
Both X and Y are independent.
Therefore, we can find the probability that X fails within 10 days of Y, and multiply it by the probability that Y fails within 10 days of X.
Hence, the probability that the bulbs fail within 10 days of each other is the sum of these probabilities.
Let Z = X - Y, then P(X ≤ Y + 10) = P(X - Y ≤ 10) = P(Z ≤ 10).
Now, we can transform Z into a standard normal variable, as follows: Z = (X - Y - E[Z]) / σ[Z].
Now, E[Z] = E[X - Y] = E[X] - E[Y] = 200 - 200 = 0, and
σ[Z]^2 = Var[X - Y] = Var[X] + Var[Y] = (1/λ^2) + (1/λ^2) = 2/λ^2.
Hence, σ[Z] = √(2/λ^2) = √2 * 200 ≈ 282.84.
Therefore, P(Z ≤ 10) = P[(X - Y) / σ[Z] ≤ 10 / σ[Z]] = P(Z' ≤ 10 / σ[Z]) ≈ P(Z' ≤ 0.0354), where Z' is a standard normal variable.
The probability of Z' being less than or equal to 0.0354 is equal to 0.5120.
Therefore, the probability that two bulbs fail within 10 days of each other is
P(X ≤ Y + 10 and Y ≤ X + 10) = P(X ≤ Y + 10) * P(Y ≤ X + 10) = P(Z ≤ 10) * P(Z ≤ -10) = P(Z ≤ 10)^2 ≈ (0.5120)^2 = 0.2621.
The probability that two bulbs fail within 10 days of each other is 0.2621.
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Amaya is standing 30 ft from a volleyball net. The net is 8 ft high. Amaya serves the ball. The path of the ball is modeled by the equation y=-0.02(x-18)^2+12, where x is the ball's horizontal distance in feet from Amaya's position and y is the distance in feet from the ground to the ball. a. How far away is the ball from Amaya when it is at its maximum height? Explain. b. Describe how you would find the ball's height when it crosses the net at x=30. a. How far away is the ball from Amaya when it is at its maximum height? Explain. The ball is nothing ft away from Amaya when it is at its maximum height. Use the y-coordinate x-coordinate of the vertex.
Answer:
KINDLY CHECK EXPLANATION
Step-by-step explanation:
Given the equation : y=-0.02(x-18)^2+12 to model the horizontal distance of a ball from Amaya's position.
a. How far away is the ball from Amaya when it is at its maximum height?
The model takes the form of a parabolic equation. Maximum height is obtain at the Vertex :
Comparing the general model :
y = a(x - h)^2 + k
Maximum height is obtained at the Vertex :(h, k)
From the model given
Coordinate at the Vertex : (h, k) = (18, 12)
Hence, ball is 18 feets away from AMAYA
B.) Height of ball at x = 30
y=-0.02(x-18)^2+12
y=-0.02(30-18)^2+12
y=-0.02(12)^2+12
y = 9.12 feets.
The below is the dimensions if a running track are shown. the ends are circular.
a)Find the combined area of the (orange) track and the (green) grassed central area.
The calculated combined area of the track is 9166.625 square meters
Working out the combined area of the track and grassFrom the question, we have the following parameters that can be used in our computation:
The composite figure
The total area of the composite figure is the sum of the individual shapes
So, we have
Area = 2 * Semicircle + Rectangle
Using the area formulas, we have
Area = 90 * 65 + 2 * 1/2 * 3.14 * (65/2) * (65/2)
Evaluate
Area = 9166.625
Hence, the total area of the figure is 9166.625 square meters
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As part of a half-marathon route, Charlie ran 4.1 miles east then 9 miles south. How far is he from his starting point?
who knows the answer
Answer:
The answer to this question would be B.
Sorry I had to answer questions
Answer:
61
Step-by-step explanation:
Step 1: Define
8y² - y - 8
y = 3
Step 2: Substitute and Evaluate
8(3)² - 3 - 8
8(9) - 3 - 8
72 - 11
61
Answer:
61
Step-by-step explanation:
8*3²-3-8=61
(-4) (?) = -12
What is the value of the (?)
Answer:
(-4) (3)= -12
Step-by-step explanation:
because negative times a positive =a negative
How many grams does an 8-ounce portion of prime rib weigh?
Answer:
28.3495 gram
Step-by-step explanation:
What is the Image of the point (1,3) after a counterclockwise rotation of 270 degrees?
Answer:
(3,-1)
Step-by-step explanation:
(y,-x) is the "formula" to use on this ordered pair to find the counterclockwise rotation of 270 degrees (you should probably memorize these for your test). This means that (1,3) would become (3,-1) after flipping the x- and y-coordinates and making the x-coordinate negative.
The image of the point (1,3) after a counterclockwise rotation of 270° is (3, -1).
The given coordinate point is (1, 3).
We need to find the image of the point (1,3) after a counterclockwise rotation of 270°.
What is rotation?A rotation is a type of transformation that takes each point in a figure and rotates it a certain number of degrees around a given point.
When we rotate a figure of 270° counterclockwise, each point of the given figure has to be changed from (x, y) to (y, -x) and graph the rotated figure.
So, points (1,3) changed to (3, -1).
Therefore, the image of the point (1,3) after a counterclockwise rotation of 270° is (3, -1).
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Rewrite the following polynomial in standard form.
6.22 +1-
1-
1
-2
4
Answer:
Submit Answer
6.22 +1-1-1-2+4= 7.22
Answer:
6.22 +1-1-1-2+4= 7.22
Step-by-step explanation:
3*5^0.2w=720
What is the solution of the equation?
Round your answer, if necessary, to the nearest thousandth.
Answer: w = 1200
---------------------------------
What are some problems that equal 492009
Answer:
1 + 492008 = 492009
Step-by-step explanation:
OR
200009 + 292000 = 492009
pls help thank you
168 = -84n
Answer:
n = -2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
