An organization claims that the number of prospective home buyers who want their next house to be larger, smaller, or the same size as their current house is not uniformly distributed. To test this claim, you randomly select 800 prospective home buyers and ask them what size they want their next house to be. The table below shows the results. At a 0.05, test the organization's claim. Conduct all 7 steps of the hypothesis test to test the claim. Clearly label your steps by number. Show work. Round the numbers to an appropriate amount of decimal places like we have been doing in class. DO NOT USE the P-value decision rule
Answers
If we fail to reject the null hypothesis, there is not enough evidence to support the claim, and we would conclude that the distribution is, in fact, uniformly distributed.
To test the organization's claim, we will conduct a hypothesis test using the following steps:
Step 1: State the hypotheses.
The null hypothesis (H₀): The distribution of prospective home buyers' preferences for their next house size is uniformly distributed.
The alternative hypothesis (H₁): The distribution of prospective home buyers' preferences for their next house size is not uniformly distributed.
Step 2: Formulate an analysis plan.
We will use a chi-square goodness-of-fit test to analyze the data. We will compare the observed frequencies in each category with the expected frequencies under the assumption of a uniform distribution.
Step 3: Collect the data.
We are given the data in the table below:
| House Size Preference | Observed Frequency |
|----------------------|-------------------|
| Larger | 350 |
| Smaller | 220 |
| Same | 230 |
Step 4: Calculate the test statistic.
We will calculate the chi-square test statistic using the formula:
χ² = Σ((Oᵢ - Eᵢ)² / Eᵢ),
where Oᵢ is the observed frequency in each category, and Eᵢ is the expected frequency under the assumption of a uniform distribution.
To calculate the expected frequency, we assume that the probabilities of selecting "Larger," "Smaller," and "Same" are equal since the distribution is claimed to be uniform. The expected frequency for each category is then (1/3) * total sample size.
Expected frequency for "Larger": (1/3) * 800 = 266.67
Expected frequency for "Smaller": (1/3) * 800 = 266.67
Expected frequency for "Same": (1/3) * 800 = 266.67
Now, we can calculate the test statistic:
χ² = [(350 - 266.67)² / 266.67] + [(220 - 266.67)² / 266.67] + [(230 - 266.67)² / 266.67]
Step 5: Determine the p-value.
To determine the p-value, we compare the calculated test statistic to the chi-square distribution with (number of categories - 1) degrees of freedom. In this case, the degrees of freedom are 3 - 1 = 2.
Using a chi-square table or a statistical software, we can find the p-value associated with the calculated test statistic.
Step 6: Make a decision.
We compare the p-value to the significance level (α = 0.05). If the p-value is less than or equal to α, we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.
Step 7: Interpret the results.
If we reject the null hypothesis, it would support the organization's claim that the distribution of prospective home buyers' preferences for their next house size is not uniformly distributed.
If we fail to reject the null hypothesis, there is not enough evidence to support the claim, and we would conclude that the distribution is, in fact, uniformly distributed.
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Related Questions
This system is a flexible tool for data analysis, since its reports do not have a fixed format.
A. Management information system
B. Decision support system
C. Transaction processing system
D. Executive support system
Answers
Option - B : Decision support system is a flexible tool for data analysis, since its reports do not have a fixed format.
Decision support systems, a subset of business intelligence, are created to help organisations make sensible business decisions based on vast volumes of analysed data. Huge volumes of data are analysed using an interactive information system called a decision support system (DSS) to aid in the direction of business choices. A DSS aids management, operations, and planning levels of an organisation in making better decisions by assessing the importance of uncertainties and the tradeoffs involved in selecting one option over another. A DSS uses a variety of raw data, papers, personal knowledge, and/or business models to aid users in making decisions. A DSS may make use of relational data sources, cubes, data warehouses, electronic health records (EHRs), income projections, sales projections, and other sources.
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Tammy sold a diamond ring for $10,000. She placed half of the money into a cd with a 3. 9% interest rate compounded daily. She placed the other half into a cd with the same interest rate but compounded monthly. What is the difference in the interest earned on each amount after 4 years?.
Answers
The difference in the interest earned on each amount after 4 years is $1.43. Then, option a is the correct option.
Compound interest is when one receives interest on both interest income and savings.
Consider that you have $1,000 in a savings account earning 5% interest annually. If you earned $50 in the first year, your new balance would be $1,050.
This compound interest can be calculated by,
\(A=P\left(1+\frac{r}{n}\right)^{nt}\)
Where,
A is the final amount.P is the initial amount.r is the rate of interest.n is the number of times interest is applied.t is the time period.For the first half, P is $5,000, r is 3.9%, n is 365 (daily), and t is 4 years.
Then, compound interest for this case is,
\(\begin{aligned}A&=\$5000\left(1+\frac{0.039}{365}\right)^{4\times365}\\&=\$5,844.09\end{aligned}\)
For the second half, P is $5,000, r is 3.9%, n is 12 (monthly), and t is 4 years.
Then, compound interest for this case is,
\(\begin{aligned}A&=\$5000\left(1+\frac{0.039}{12}\right)^{4\times12}\\&=\$5,842.65\end{aligned}\)
Then, the difference is $5,844.09 - $5,842.65 = $1.43.
The complete question is -
Tammy sold a diamond ring for $10,000. She placed half of the money into a cd with a 3. 9% interest rate compounded daily. She placed the other half into a cd with the same interest rate but compounded monthly. What is the difference in the interest earned on each amount after 4 years?
a. $1.43 b. $2.85 c. $125.31 d. $128.16
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I need help with my homework.
Answers
Answer:
1: 10.8
2:7.56
3:0.192
4:145.5000
5:2.76
6:201.5
Sorry, I didn't have time for the rest!
The price of fuel may increase due to demand and decrease due to overproduction. Marco is studying the change in the price of two types of fuel, A and B, over time.
The price f(x), in dollars, of fuel A after x months is represented by the function below:
f(x) = 2.15(0.98)x
Part A: Is the price of fuel A increasing or decreasing and by what percentage per month? Justify your answer. (5 points)
Part B: The table below shows the price g(m), in dollars, of fuel B after m months:
m (number of months) 1 2 3 4
g(m) (price in dollars) 4.19 3.98 3.78 3.59
Answers
A rise or a decline may be represented by an exponential function in either direction.
The cost of gasoline type A is becoming higher.The price of Fuel B saw a larger percentage increase than any other fuel.This is further explained below.
What is an exponential function?A)
The exponential function is represented as follows for fuel A:
f(x)=2.96(1.04)^x
A representation of an exponential function looks like this:
y=a b^x
Where b is the rate being calculated.
b=1.04
Since b (which is equivalent to 1.04) is bigger than 1, it follows that the price of gasoline A is going up.
B)
A representation of an exponential function may be seen in the table.
To get the cost of gasoline type B, just divide the current price by the price that was in effect just a moment ago.
Therefore, we have:
\(\begin{aligned}&b=\frac{3.41}{3.22} \\&b=1.06\end{aligned}\)
1.06 is a higher number than 1.04, by way of comparison (the rate of fuel A).
Consequently, gasoline B had a bigger percentage shift in price than fuel A did.
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when subtracting decimals with the same sign you?? what does it mean???
Answers
Answer:
it turns to a positive
Step-by-step explanation:
2 negatives will equal a positive number.
Answer:
It just means that it will be easier for you to subtract them.
Step-by-step explanation:
Because all you have to do is subtract them how you would and just take the decimal and move it down the row and that is it.
Eric's city took a telephone poll about a plan to build a new hotel downtown. 200 people took
the poll. 25% of them were in favor of the new hotel. How many people were in favor of the
new hotel?
Answers
Answer:
50 people
Step-by-step explanation:
Solution
25% as a fraction is 25/100 which reduces down to 1/4. What this tells you is that 1/4 of the people asked want the hotel
1/4 * 200 = 50
50 people want the hotel.
Please help!! How do I Plot the point (1.5, -3.5) on the coordinate plane.
Answers
Answer:
Step-by-step explanation: since the 1.5 is suppose to be on the x axis, you plot the point between 1 and 2. Ten you go down to the y axis since it is negative and plot it between -2 and -3.
click the file below to see the answer:
BRAINLISTTT
iS THIS RIGHT!!!???
Answers
Answer:
yes
Step-by-step explanation:
Examine the diagrams below. What is the angle pair relationship between the labeled angles? Use the relationship to write an equation and solve for x.
Answers
Answer:
4x-15+6x-35=180
Step-by-step explanation:
4x−15+6x−35=180
Step 1: Simplify both sides of the equation.
4x−15+6x−35=180
4x+−15+6x+−35=180
(4x+6x)+(−15+−35)=180(Combine Like Terms)
10x+−50=180
10x−50=180
Step 2: Add 50 to both sides.
10x−50+50=180+50
10x=230
Step 3: Divide both sides by 10.
10x/10=230/10
Answer:10x
Step-by-step explanation: 6x+4x=10x
slot machines pay off on schedules that are determined by the random number generator that controls the play of the machine. slot machines are a real world example of a
Answers
Slot machines are a real-world example of a variable ratio schedule.
What is variable ratio ?A variable-ratio schedule in operant conditioning is a partial reinforcement schedule where a response is reinforced after an arbitrary number of responses. 1 A consistent, high rate of response is produced by this schedule. A reward based on a variable-ratio schedule is one that can be found in gambling and lottery games.
The individual will continue to engage in the target behavior in variable ratio schedules because he is unsure of how many responses he must give before receiving reinforcement. This leads to highly stable rates and increases the behavior's resistance to extinction.
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A Sierpinski triangle can be created by starting with an equilateral triangle, breaking the triangle into 4 congruent equilateral triangles, and
then removing the middle triangle. Starting from a single black equilateral triangle with an area of 256 square inches, here are the first four
steps
Complete this table showing the number of shaded triangles in each step and the area of each triangle.
Area of Each Shaded
Triangle in Squares inches
Step Number Number of Shaded Triangles
0
1
256
1
3
2
3
Answers
For the Sierpinski triangle, the complete table is attached.
The Sierpiński triangle, also called the Sierpiński gasket or Sierpiński sieve, refers to a fractal attractive fixed set with the overall shape of an equilateral triangle, subdivided recursively into smaller equilateral triangles. The Sierpiński triangle represents a geometric sequence.
A geometric sequence or geometric progression refers to a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio. In the given situation, the common ratio is ¼ as area of each divided triangle is determined by dividing the area of the previous triangle by 4. The nth term is given by ar^(n-1).
Hence, initially there is one shaded triangle with area = 256 square inch. In the second triangle, there are four triangles with three shaded figures, each with area = 256(1/4)^(2-1) = 64 square inch. In the third triangle, each triangle has area =256(1/4)^(3-1) = 16 square inch and so on.
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You want to put edging around your above ground rectangular pool. The dimensions of the pool are 20ft by 25ft. How many feet of edging do you need to purchase to surround the pool?
Answers
Answer:
90 ft
Step-by-step explanation:
perimeter = 2L + 2W
2(20) + 2(25)
40 + 50
90 ft
intersecting lines r, s, and t are shown below. s t 23° r 106° x° what is the value of x ?
Answers
To find the value of x, we need to use the fact that when two lines intersect, the sum of the adjacent angles formed is equal to 180 degrees.
In this case, the angle formed between lines s and t is 23 degrees, and the angle formed between lines r and s is 106 degrees. Let's denote the angle between lines t and r as x.
Using the information given, we can set up the equation:
(106 degrees) + (23 degrees) + x = 180 degrees
Combine the known values:
129 degrees + x = 180 degrees
To isolate x, subtract 129 degrees from both sides of the equation:
x = 180 degrees - 129 degrees
x = 51 degrees
Therefore, the value of x is 51 degrees.
In conclusion, the value of x, the adjacent angles formed between intersecting lines t and r, is 51 degrees.
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2. The function ln(x)2 is increasing. If we wish to estimate √ In (2) In(x) dx to within an accuracy of .01 using upper and lower sums for a uniform partition of the interval [1, e], so that S- S < 0.01, into how many subintervals must we partition [1, e]? (You may use the approximation e≈ 2.718.)
Answers
To estimate the integral √(ln(2)) ln(x) dx within an accuracy of 0.01 using upper and lower sums for a uniform partition of the interval [1, e], we need to divide the interval into at least n subintervals. The answer is obtained by finding the minimum value of n that satisfies the given accuracy condition.
We start by determining the interval [1, e], where e is approximately 2.718. The function ln(x)^2 is increasing, meaning that its values increase as x increases. To estimate the integral, we use upper and lower sums with a uniform partition. In this case, the width of each subinterval is (e - 1)/n, where n is the number of subintervals.
To find the minimum value of n that ensures the accuracy condition S - S < 0.01, we need to evaluate the difference between the upper sum (S) and the lower sum (S) for the given partition. The upper sum is the sum of the maximum values of the function within each subinterval, while the lower sum is the sum of the minimum values.
Since ln(x)^2 is increasing, the maximum value of ln(x)^2 within each subinterval occurs at the right endpoint. Therefore, the upper sum can be calculated as the sum of ln(e)^2, ln(e - (e - 1)/n)^2, ln(e - 2(e - 1)/n)^2, and so on, up to ln(e - (n - 1)(e - 1)/n)^2.
Similarly, the minimum value of ln(x)^2 within each subinterval occurs at the left endpoint. Therefore, the lower sum can be calculated as the sum of ln(1)^2, ln(1 + (e - 1)/n)^2, ln(1 + 2(e - 1)/n)^2, and so on, up to ln(1 + (n - 1)(e - 1)/n)^2.
We need to find the minimum value of n such that the difference between the upper sum and the lower sum is less than 0.01. This can be done by iteratively increasing the value of n until the condition is satisfied. Once the minimum value of n is determined, we have the required number of subintervals for the given accuracy.
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the measure of an angle is 28 degrees less than its supplement. find each angle
Answers
Supplementary angles measure 180°. Make an equation:
Subtract 28 to leave the variable in the parentheses alone:
Add the 2 x's together:
Your new equation is:
Divide both sides by 2 to leave the variable alone
The supplement measures 76°
what is the volume of this hemisphere? Exact answer in terms of π the radius is 48 m options 1) 9,216 π cubic meters 2) 18,432 π cubic meters 3) 28,938 π cubic meters 4) 57,876 π cubic meters
Answers
Answer:
Volume, \(V=73728\pi \ m^3\)
Step-by-step explanation:
The formula for the volume of hemisphere is given by :
\(V=\dfrac{2}{3}\pi r^3\)
r is radius of hemisphere, r = 48 m
\(V=\dfrac{2}{3}\pi\times (48)^3\\\\V=73728\pi \ m^3\)
So, the volume of hemisphere is \(73728\pi \ m^3\).
a standing wave is set up in a pool 24 m long which contains six loops. what is the wavelength? a) 24 m b) 48 m c) 8 m d) 4 m
Answers
Two length of the same frequency and amplitude moving in opposite directions combine to form a standing wave, which appears to be stationary. Given that the pool in this instance is 24 m long and has six loops, the wavelength is 4 m.
Wavelength = Length of Pool / Number of Loops
24 m / 6 loops
= 4 m
Wavelength
= 4 m
Two waves of the same frequency and amplitude moving in opposite directions combine to form a standing wave, which appears to be stationary. A stationary wave pattern is produced when the two waves collide and interfere with one another. Six loops make up the 24 m-long pool in this instance. As a result, the standing wave's wavelength is equal to the pool's length divided by the number of loops, or 24 m / 6 = 4 m. This indicates that the standing wave's wavelength is 4 metres. Standing waves can be used to determine a wave's speed because they are equal to wavelength times frequency. Understanding how waves behave in various contexts, such as swimming pools, oceans, or other bodies of water, can be helped by this.
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The test scores for the Chapter 5 test in Algebra I were:75,95,90,95,60,95,75,95,90Question:a. Find the mean, median, mode, and range of the data.b. Which measure best describes the set of data? Why?c. If test scores of 65 and 75 were added to the set, what would happen to the mean?
Answers
Answer:
mean : 85.6
mode : 95
median : 90
range : 35
Step-by-step explanation:
B The mean
The reason why is because it shows the average test score of all the students .
C The mean would decrease because there is more numbers to divide by after adding all of them together .
What is 40% of 26 pls help me I don’t want detention
Answers
Answer:
10.4
Step-by-step explanation:
40 percent *26
= (40/100)*26
= (40*26)/100
= 1040/100 = 10.4
what is the value of x in 6-3x=5x-10x+12
Answers
do u know which symbol makes 6 15/28 ____ 6 5/9
Answers
Answer:
The "less than" sign
6 15/28 < 6 5/9
Explanation:
The value of
\(6\frac{15}{28}=6.536\)The value of
\(6\frac{5}{9}=6.556\)Since 6.536 is less than 6.556, we use the "<" sign.
Look at the twelve sub-scores that make up a country's economic freedom score. Which sub-score do you think is most important for an MNE to consider
Answers
While the importance of sub-scores may vary depending on the specific circumstances and goals of a multinational enterprise (MNE), one sub-score that is often considered crucial is the "Property Rights" sub-score.
Property rights provide the legal framework for protecting and enforcing ownership of assets, including intellectual property, real estate, and investments. Strong property rights ensure that MNEs have secure and enforceable rights over their assets, reducing the risk of expropriation, unauthorized use, or infringement.
For an MNE, secure property rights are essential for various reasons. They enable the MNE to confidently invest in and develop new assets, protect their intellectual property, and establish long-term contracts and business relationships. Secure property rights also foster a favorable investment climate, attracting foreign direct investment and facilitating economic growth.
Additionally, property rights contribute to a stable and predictable business environment, reducing uncertainty and facilitating planning and decision-making processes for MNEs. By considering the property rights sub-score, MNEs can assess the level of legal protection and security of their assets in a particular country, which is crucial for ensuring a favorable and stable business environment.
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Complete Question:
Look at the twelve sub-scores that make up a country's economic freedom score. Which sub-score do you think is most important for an MNE (multi-national enterprise) to consider? The sub-score groups are listed below in the bullet points.
Property rightsJudicial effectivenessGovernment integrityTax burdenGovernment spendingFiscal healthBusiness freedomLabor freedomMonetary freedomTrade freedomInvestment freedomFinancial freedomFor each pair of points, find the slope of the line that passes through the points.(5,4) and (0,1)(3,7) and (-2,2)
Answers
Consider that the slope of a line passing through two given points, is given by the formula,
\(m=\frac{y_2-y_1}{x_2-x_1}\)So the slope of line passing through the points (5,4) and (0,1) is calculated as,
\(\begin{gathered} m=\frac{1-4}{0-5} \\ m=\frac{-3}{-5} \\ m=\frac{3}{5} \end{gathered}\)Thus, the slope of straight lines passing through (5,4) and (0,1) is 3/5 .
Similarly, the slope of line passing through the points (3,7) and (-2,2) is calculated as,
\(\begin{gathered} m=\frac{2-7}{-2-3} \\ m=\frac{-5}{-5} \\ m=1 \end{gathered}\)Thus, the slope of line passing through the points (3,7) and (-2,2) is 1 .
Question 1
50 pts
You own a grocery store. Every time you receive your
produce delivery about 2% of the produce is already
spoiled. You receive b pounds of bananas and g pounds of
grapes. Write an expression representing how many
pounds you will have to put up for sale after you get rid of
the spoiled portion.
Answers
Answer:
its says 5 points T-T messed up bro
Please help!!! See image!! pt. 3
Answers
Answer:
16/81
Step-by-step explanation:
For every 5 boys, there are 25 girls. Write this ratio in the simplest form in all three ways (ratio, decimal, fraction).
For every 150 dogs, there are 300 cats. write this ratio in simples form in all three ways.
Answers
Answer:
Step-by-step explanation:
5 : 25
In simplest form
1 : 25
In fraction form
1/25
In decimal form
0.04
150 : 300
In simplest form
1 : 2
In fraction form
1/2
In decimal form
0.5
Really need help pls I will mark you as brainlist ✨✨
Answers
help???????
dhdjdjmsjd
Answers
Answer:
1/2 over 7/8
Step-by-step explanation:
becauseim smartt
Answer:
the bridge is 90ft long.
Step-by-step explanation:
3/18=15/x
solve for x
use reciprocals to get x as numerator for easier calculation
18/3=x/15
270/3=x
x=90ft
which graph of ordered pais shows a proportional relationship? i need help lol
Answers
A square pyramid is sliced in such a way that the plane passes through all five faces of the pyramid, what is the resulting cross section?
Answers
When a square pyramid is sliced in such a way that the plane passes through all five faces of the pyramid, the resulting cross-section is a pentagon.
The square pyramid has a square base and four triangular faces, so when a plane passes through all five faces, it intersects each of the four triangular faces to form a trapezoid. These four trapezoids combine to form a pentagon.
The resulting cross-section can vary depending on the angle at which the plane intersects the pyramid. If the plane intersects the pyramid at a right angle to the base, the resulting pentagon will be a regular pentagon. If the plane intersects the pyramid at an angle, the resulting pentagon will be irregular.
In summary, when a square pyramid is sliced in such a way that the plane passes through all five faces of the pyramid, the resulting cross-section is a pentagon, which can be regular or irregular depending on the angle of intersection.
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